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Welding is the method which has been around us from a long period of time and different types of welds are introduced over the decades.
The weld joints can be classified according to the way the pieces of metal are placed together or align with each other. Each type of welds are different from each other by design, quality and cost wise. Selection of an appropriate weld type as per requirement needs special attention and skill of the welder.
The welding process is all about using heat to melt separate metal pieces so that their molten portion flow together and fuse to form a single seamless piece.
Different Types of Weld Joints
Welds can be geometrically prepared in many different ways.
According toAmerican Welding Society(AWS), Welding Joints can be classified basically as below :
The above mentioned weld joints cover different weld types.
Welders have to select a weld type observing certain criterions like welding method and thickness of the members to be welded. Generally, welds are described by their shapes when we observe their cross sections.
In a weld joint different members are joined together to form a single part so that the stresses acting on them are distributed. A weld joint has to withstand different types of stresses like tensile stress, compressive stress, bending, torsion and shear stresses. The capability of a welded joint to overcome theses stresses depends on both the design and integrity of the weld.
The welding method and the joint design are inter related, depending on the welding method we have to select the joint type and vice versa.
A particular welding method results a particular type of weld accurately and efficiently. The characteristic of the welding method like the rate of travel, penetration, deposition rate, heat input etc affect its performance and resulting weld.
Butt joint
Butt welds are very common and simple to weld, here metal pieces are placed near to each other in the same surface and pieces are joined edge to edge. Most common applications of butt weld are fabrication industry and piping system.
Different types of butt welds(variation in groove shape, applications, width of the gap etc.) in butt welding are listed below:
Square
Single bevel
Double bevel
Single J
Double J
Single V
Double V
Single U
Double U grooves
.
Because the orientation of the material usually presents only one end to a long gluing or welding surface, the resulting joint is inherently weak.
Accumulation of slag, porosity, cracking etc are certain drawbacks of butt welds which make it weaken. Butt welds can be fed through automatic welding machines accurately due to their simplicity in design.
Corner joint
Corner joints are common in sheet metal industries to weld frames, boxes, tanks etc. It is similar to butt welds, two plates at right angles to each other in the ‘corner’ in either an open or closed manner, giving an L shape.
In the case of light weighted flexible sheets accurate alignment is quite difficult. To avoid the occurrence of air trap, try to get rid of air pockets, pits, surface irregularities at the weld joint.
Different geometric patterns of corner welds in corner joints are as below:
In edge joint, the metal pieces are placed in such a way that the edges give an even surface and then one or both the surfaces are bent at an angle to form the joint. In case of applications to withstand heavy loads, additional filler metals are applied to fuse the edges completely.
In case of lap welds the two ends of the metal pieces of different thicknesses are placed in such a way that one piece can overlap the other one. Depending on the necessities, welds have done only on one side or on both the sides.
This type of joints are generally avoided for thicker materials and preferred for sheet metals. Corrosion is the main issue associated with lap welds, however using modern techniques and changing variables this problem can be prevented. Since, Lap joints have the characteristics same as Fillet welds, so it is considered as a Fillet Weld also.
In T welds two pieces are welded at a 90-degree angle to each other, one piece is generally attached to the center of another one giving a T shape. This type of joint is frequently seen in welding a pipe on a base plate.
Different welding styles that can be used to create a tee joint are as follows
Plug weld
Slot weld
Bevel-groove weld
Fillet weld
J-groove weld
Melt-through weld
Flare-bevel-groove weld
A groove is introduced when the base metal piece is thick and welding on both sides unable to withstand the load, the joint must support. In case of T joints effective penetration into the roof of the weld must be ensured.
It is one of the most commonly seen weld type in fabrication industries.
Fillet welds have covered almost 70-80% of all the welds made by arc welding method. Tee joint, lap joint, corner joints all come under fillet welding joints. Since there is no requirement of any edge preparation, fillet welds are simpler as well as cheaper than butt welds.
Different types of fillet welds are mentioned below:
Square groove weld
Single -V groove weld
Single -bevel groove weld
Single -U groove weld
Single -J groove weld
Flare V weld
Flare Bevel weld
The main difference between Butt and Fillet welds is the surfaces to be joined in butt welds are on the same plane and in fillet welds the surfaces make an angle of 90 degree to each other.
A 45 degree angle is formed between the two parts in case of fillet welds whereas butt joint weld looks like a seam or bead.
When the bolts are not strong enough and wear off easily, welders generally prefer fillet welds, also to join flanges to pipelines and welded fabrications.
Groove Weld
The Groove weld is a type of joint, where an opening between two members provides a space to deposit the metal.
Two main types of groove welds are single V type and Double V type. Groove welds can resemble butt welds when two members of butt weld are having grooves on them.
Seam Weld
Seam welds are a continuous joint between two overlapping members, similar or dissimilar materials, created by the use of pressure and electric current.
Since metals have th characteristic of conducting electricity and can sustain high pressure, this process is performed on mostly on metals. Resistance seam welding is the most commonly used process for seam welds. Seam welds are very durable and robust in natue because a large area is joined by the weld and the joint is forged due to heat and pressure applied.
Spot Welds
Here two metal sheets are joined together at certain spots. In case of spot welds two sheets are placed in an overlapping position to each other(just like in lap joint), then a rotating tool is pressed with high force on to the top surface.
The frictional heat and the high pressure plastify the sheet metal, the pin of the tool is plunged into the sheets until the shoulder is in contact with the surface of the top sheet.
This tool consists of a pin which rotates and penetrates into the sheet, the shoulder in the tool is the source of high forging pressure which binds the sheets without melting. After a short gap the rotating tool is pull out from the sheet materials to make another spot weld in each 5 seconds.
Plug Weld
Plug welds are mainly used to replace rivets and used to join overlapping surfaces, one of which has holes on it.
These are circular welds used to join two members together through a small hole in one of the members and the hole is generally partially or completely filled with weld metal.
In most of the automotive applications, plug welds replace spot welds when the space required to operate a spot welding equipment is not sufficient. The plug welds give a stronger joint than a spot weld.
Slot Weld
Just like the Plug welds, Slot welds are also used for joining overlapping surfaces one of which has holes on it, round in case of plug welds and elongated for slot welds.
In simple words in case of slot welds one piece of material is connected with another piece of metal through an elongated shaped hole. The elongated hole can be open at one end or may be partially or completely.
Full and Partial Penetration Welds
Full Penetration weld or Complete Joint Penetration (CJP) weld has a special kind of groove that allows the filler material to flow through the entire gap starting from the top to the bottom of the joint.
In case of Partial Joint Penetration(PJP) Welds, the filler material does not reach the root portion of the joint. If you observe the cross section of the joint you will find gap between the two members.
The metal edges are generally beveled properly to assist full penetration or CJP, U,J and V grooves are very common shapes for the full penetrations . A well done CJP gives a strong and durable joint than PJP.
Frequently Asked Questions
Q1: State differences between Butt and Fillet Welds.
Answer: If two metal pieces are lying on the same plane and they are joined together then we get a butt weld. Butt welds require edge preparation.
If the metal pieces to be joined are making an angle of 90 degrees with each other then we get a fillet weld. Edge preparation is not necessary.
Q2.What are the differences between weld joint and rivet joint.
Answer:The Difference between Welded and Riveted Joint are mentioned below:
Welded Joint
Riveted Joint
For welded Joints, no holes are required on the parent members.
Number of holes on the parent members are required to join them with the help of rivets.
A continuous type of joint is obtained.
An intermittent type of joint is obtained due to the existence of gaps between rivets.
Joints are generally leak proof
Chances of leakage is quite high.
Strength of welded joint is quite high
Riveted joints are comparatively weak.
The whole assembly is lighter in weight.
The whole assembly consist of a number of components which make it heavy in weight.
Time required for welding is less
Multiple steps are involved in riveting process which consumes long time.
Welded Vs Riveted Joint
Conclusion:
To wrap up our post we can state that there are different types of welds and each one has unique characteristics. To achieve specialization in welding we should properly know their qualities and which one will be suitable as per our requirement.
In this article we will discuss about the different facts which gives a clarity of Relative Humidity Vs Absolute Humidity.
Both Relative Humidity and Absolute Humidity give indication about the water vapor present in the air but they are quite different from each other. Humidity measurement is done in different ways, all the methods have different applications. These methods are: Relative Humidity, Absolute Humidity and Specific Humidity.
Humidity measurement is crucial whenever there is a need to prevent precipitation, corrosion, mould formation etc, mainly related to fields like food industries, medicine industries, wood works, cold storage, cooling tower in refineries etc.
Measurement of RH is the most common and used for a wide range of applications, calculation of RH for weather forecasting is a well-known fact.
For changing temperature measurement of absolute value of Humidity is preferred as it is independent of temperature. Absolute value is suitable for applications like Spray drying and blower.
Relative Humidity Vs Absolute Humidity
To measure the water vapor content in the air, most common and popular methods are Relative as well as Absolute method. Both indicates the moisture content but in two divers ways.
We can discuss their differences in a tabular form as below:
Absolute Humidity
Relative Humidity
The absolute value of Humidity value gives us the total weight of water vapor per volume of air without considering the temperature. It can be calculated by dividing the total amount of water vapor mwby the given volume V of air.
It can be calculated by dividing actual vapor pressure(E) in the air by the saturated value of vapor pressure Es multiplied by 100 at a fixed temperature.
pw = mw/V
RH = (E/Es)x100
It is expressed in g/m3
RH value is expressed in percentage(%)
In the case of the Absolute method of humidity, measurement Temperature is not considered.
RH is inversely proportional to Temperature.
Absolute Vs Relative
Relative humidity vs absolute humidity chart
RH value can be estimated from from a psychrometric or a Mollier diagram.
Mollier diagram is nothing but the European version of Anglo-American Psychrometric Chart, same parameters are used but look wise quite different from each other. Engineers and designers most widely used these diagrams as fundamental design implementation.
Air temperature(both dry and wet bulb temperature), amount of water vapor, enthalpy, RH values all are represented graphically in Psychrometric and Mollier charts.
If we know the dry bulb temperature and wet bulb temperature we can easily determine the RH value in the air using a psychrometric chart.
First of all find the specific dry bulb temperature on the horizontal axis of the chart and then find out the wet bulb depression value(i.e. Dry bulb temperature – Wet bulb temperature) on the vertical axis of the chart.
After that mark the point where these two lines from horizontal and vertical point intersect, this intersection point will give us the Relative value of humidity(RH) in percentage.
In the Psychrometric chart, we have Dry bulb temperature on the horizontal axis Humidity ratio(gm water/gm of dry air) on the vertical axis, and RH curves above.
For example, consider air with RH 60% at temperature 200Corresponding to the 200 we have to move until we reach 60% RH curve. Now move to the right side up to the end of the diagram to find the absolute humidity vertical line that will show the amount of water vapor in gm.
Absolute vs Relative Humidity Formula
Absolute value of Humidity gives us the total weight of water vapor per volume of air without considering the temperature, Relative method is an comparison between current value of absolute value of humidity and maximum possible value reached at a particular temperature.
The difference between Formulas used are as follows:
Absolute Humidity Formula
Relative Humidity Formula
Absolute pw is the total amount of water vapor mw present in a given volume of air V regardless of temperature.
RH can be calculated by dividing actual vapor pressure(E) in the air by the saturated value of vapor pressure Es , multiplied by 100 at a fixed temperature
pw = mw/V
RH = (E/Es)x100
Absolute Vs Relative Formula
In case of Absolute type humidity measurement always remember that warmer air holds more moisture than colder air.
In case of Relative Humidity if temperature has increased keeping the Absolute Humidity same or keeping the moisture content same, the Relative Humidity will decrease.
By maintaining a constant Absolute value of Humidity, if we reduces the temperature in the atmosphere, a higher value of Relative value of Humidity will be observed.
Difference between Humidity and Absolute Humidity
Absolute type of humidity can be considered as a form or type of Humidity as it expresses the moisture content or water vapor content in the air in g/m3.
The differences between Humidity and Absolute Humidity Formula are as follows:
Humidity
Absolute Humidity
Humidity is water vapor content in the air. High humidity in the atmosphere makes us uncomfortable as we sweat more.
Absolute(also known as water vapor density) humidity is the mass of water vapor per unit of dry air in a specific air volume.
Depending on the requirement of the applications we can adopt methods like Relative, Absolute and Specific Humidity to determine the humidity in surrounding environment.
If the volume of air is not constant, the water vapor calculated by the Absolute method keeps changing along with the change in temperature and pressure. For this reason, Absolute method is not applied in calculations related to chemical engineering.
Humidity Vs Absolute Humidity
Difference between AbsoluteandSpecific Humidity
Absolute and Specific Humidityare used to measure humidity.
To know the differences between AbsoluteandSpecific Humidity we can go through the table below:
Specific Humidity
Absolute Humidity
Specific Humidity is the ratio of the mass of water vapor in the air to the total mass of air and water vapor.
It is the actual mass of water vapor in unit volume of air.
Relative humidity is a measure of the amount of moisture present in the air compared to the maximum amount the air can hold at a particular temperature. It is an important parameter in weather forecasting, agriculture, and various industries. Calculating relative humidity involves comparing the actual vapor pressure of the air to the saturation vapor pressure at a given temperature. The formula to calculate relative humidity is: RH = (actual vapor pressure / saturation vapor pressure) x 100. To determine the actual vapor pressure, you need to know the temperature and the dew point. The saturation vapor pressure can be found using tables or equations based on temperature. Here are some key takeaways on how to calculate relative humidity:
Key Takeaways
Relative humidity is the amount of moisture in the air compared to the maximum amount it can hold at a specific temperature.
The formula to calculate relative humidity is: RH = (actual vapor pressure / saturation vapor pressure) x 100.
Actual vapor pressure can be determined using the temperature and dew point.
Saturation vapor pressure can be found using tables or equations based on temperature.
Understanding the Basics
Relative humidity is an important concept when it comes to understanding the moisture content in the air. It refers to the amount of water vapor present in the air compared to the maximum amount the air can hold at a specific temperature. In this section, we will explore the factors that affect relative humidity and the tools used to measure it.
Factors Affecting Relative Humidity
Several factors influence the relative humidity in the atmosphere. These factors include:
Temperature and Humidity: The relationship between temperature and humidity is crucial in determining relative humidity. As the temperature rises, the air can hold more moisture, resulting in a decrease in relative humidity. Conversely, as the temperature drops, the air’s capacity to hold moisture decreases, leading to an increase in relative humidity.
Atmospheric Pressure: Changes in atmospheric pressure can affect relative humidity. When the pressure decreases, the air expands, causing the temperature to drop. As a result, the relative humidity increases. Conversely, an increase in atmospheric pressure leads to a decrease in relative humidity.
Moisture Content: The amount of water vapor present in the air directly affects relative humidity. If more water vapor is added to the air, the relative humidity increases. Conversely, if water vapor is removed from the air, the relative humidity decreases.
Condensation and Evaporation: The processes of condensation and evaporation also impact relative humidity. When water vapor condenses into liquid water, it releases heat, causing the surrounding air to warm up. This increase in temperature leads to a decrease in relative humidity. On the other hand, when liquid water evaporates into water vapor, it absorbs heat from the surrounding air, resulting in a decrease in temperature and an increase in relative humidity.
Tools Used to Measure Relative Humidity
To measure relative humidity accurately, various tools and instruments are used. Some commonly used tools include:
Hygrometer: A hygrometer is a device specifically designed to measure relative humidity. It works by using a sensor that detects changes in moisture content in the air. Hygrometers can provide readings in both percentage and dew point temperature.
Psychrometric Chart: A psychrometric chart is a graphical representation of the relationship between temperature, humidity, and other properties of moist air. It helps in determining various parameters such as humidity ratio, dew point, and moisture content.
Humidity Sensors: Humidity sensors are electronic devices that measure relative humidity. They are often used in weather forecasting, indoor humidity control systems, and other applications where monitoring and controlling humidity levels are crucial.
How to Calculate Relative Humidity
Relative humidity is a measure of the amount of moisture present in the air compared to the maximum amount the air could hold at a specific temperature. It is an important factor in understanding and predicting weather patterns, as well as maintaining comfortable indoor environments. In this article, we will explore the basic formula for calculating relative humidity and provide an example to help you better understand the concept.
The Basic Formula for Calculating Relative Humidity
To calculate relative humidity, you need to know the current temperature and the dew point temperature. The dew point temperature is the temperature at which the air becomes saturated and condensation begins to form. The formula for calculating relative humidity is as follows:
Where: – Actual Vapor Pressure is the pressure exerted by water vapor in the air. – Saturation Vapor Pressure is the maximum pressure that water vapor can exert at a given temperature.
To calculate the actual vapor pressure, you can use the following formula:
Actual Vapor Pressure = Humidity Ratio / (Humidity Ratio + 1) * Atmospheric Pressure
Where: – Humidity Ratio is the ratio of the mass of water vapor to the mass of dry air.
– Atmospheric Pressure is the pressure exerted by the air.
To calculate the saturation vapor pressure, you can refer to tables or use equations derived from the psychrometric chart. The saturation vapor pressure depends on the temperature and can be expressed in different units such as millibars, pascals, or inches of mercury.
Example of Calculating Relative Humidity
Let’s say the current temperature is 25 degrees Celsius and the dew point temperature is 20 degrees Celsius. We can use the formulas mentioned above to calculate the relative humidity.
First, we need to calculate the actual vapor pressure. Assuming the humidity ratio is 0.01 and the atmospheric pressure is 1013 millibars, we can substitute these values into the formula:
Next, we need to calculate the saturation vapor pressure at the given temperature. Using a table or an equation derived from the psychrometric chart, we find that the saturation vapor pressure at 25 degrees Celsius is approximately 23.8 millibars.
Now, we can substitute the values into the relative humidity formula:
Relative Humidity = (10.13 / 23.8) * 100 = 42.52%
Therefore, the relative humidity in this example is approximately 42.52%.
Calculating relative humidity is essential for various applications, including weather forecasting, indoor humidity control, and understanding the moisture content in the air. By knowing the relative humidity, you can determine if the air is too dry or too humid, which can affect comfort levels and even the health of individuals.
Remember, the formulas and calculations provided here are just one of the many humidity calculation methods available. Depending on the specific situation and available data, other formulas or conversion methods may be more appropriate. Additionally, modern devices such as hygrometers and humidity sensors can provide accurate measurements without the need for manual calculations.
So, the next time you wonder about the humidity level in your surroundings, grab a hygrometer, measure the temperature and dew point, and use the relative humidity formula to get the answer. Understanding relative humidity will help you better manage the air moisture level and ensure a comfortable and healthy environment.
Different Methods of Calculating Relative Humidity
Relative humidity is an important measurement when it comes to understanding the moisture content in the air. There are several methods available to calculate relative humidity, each with its own advantages and applications. In this article, we will explore five different methods of calculating relative humidity and discuss how they work.
Calculating Relative Humidity with Wet Bulb and Dry Bulb
One common method of calculating relative humidity is by using a wet bulb and dry bulb thermometer. This method relies on the principle of evaporation to determine the moisture content in the air. The wet bulb thermometer is wrapped in a wet cloth, which causes the water to evaporate and cool the thermometer. The dry bulb thermometer, on the other hand, is not affected by evaporation. By comparing the temperatures of the two thermometers, we can calculate the relative humidity using a psychrometric chart or a formula.
Calculating Relative Humidity with Temperature and Vapor Pressure
Another method of calculating relative humidity is by using temperature and vapor pressure. Vapor pressure is the pressure exerted by water vapor in the air and is directly related to the moisture content. By measuring the temperature and vapor pressure, we can determine the relative humidity using a formula or by referring to tables that provide the relationship between temperature, vapor pressure, and relative humidity.
Calculating Relative Humidity with Temperature and Dew Point
The dew point is the temperature at which the air becomes saturated and condensation begins to form. By measuring the temperature and dew point, we can calculate the relative humidity. The dew point is an important parameter in weather forecasting as it indicates the likelihood of fog, dew, or frost formation. There are formulas and charts available to determine the relative humidity based on the temperature and dew point values.
Calculating Relative Humidity from Absolute Humidity
Absolute humidity refers to the actual amount of water vapor present in the air. It is expressed in grams of water vapor per cubic meter of air. To calculate the relative humidity from absolute humidity, we need to know the saturation point of the air, which is the maximum amount of water vapor the air can hold at a given temperature. By comparing the absolute humidity to the saturation point, we can determine the relative humidity using a formula or a psychrometric chart.
Calculating Relative Humidity from Specific Humidity
Specific humidity is the ratio of the mass of water vapor to the total mass of air. It is expressed in grams of water vapor per kilogram of air. To calculate the relative humidity from specific humidity, we need to know the saturation point of the air and the total pressure. By comparing the specific humidity to the saturation point, we can determine the relative humidity using a formula or a psychrometric chart.
Using Tools to Calculate Relative Humidity
Using a Sling Psychrometer
When it comes to measuring humidity, one of the most commonly used tools is a sling psychrometer. This simple yet effective device allows you to determine the relative humidity by comparing the wet-bulb temperature and the dry-bulb temperature. The wet-bulb temperature is measured by wrapping a wet cloth around the bulb of the thermometer and then swinging it around in the air. As the water evaporates from the cloth, it cools down the bulb, giving you the wet-bulb temperature. On the other hand, the dry-bulb temperature is measured using a regular thermometer without any moisture on it.
To calculate the relative humidity using a sling psychrometer, you need to use the psychrometric chart. This chart provides a graphical representation of the relationship between temperature, humidity, and moisture content in the air. By finding the intersection point of the wet-bulb and dry-bulb temperatures on the chart, you can determine the humidity ratio, dew point, and relative humidity.
Using a Hygrometer
Another tool commonly used to measure humidity is a hygrometer. A hygrometer is an instrument that directly measures the moisture content in the air. There are different types of hygrometers available, including mechanical, electronic, and digital ones. Mechanical hygrometers typically use a hair or a synthetic material that expands or contracts with changes in humidity, while electronic and digital hygrometers use sensors to measure the water vapor in the air.
To use a hygrometer, you simply need to follow the manufacturer’s instructions. Most hygrometers provide a digital display of the relative humidity, making it easy to read and interpret. Some advanced models may also provide additional information such as the temperature and dew point. Hygrometers are widely used in various applications, including weather forecasting, indoor humidity monitoring, and controlling the air moisture level in certain environments.
Using Excel to Calculate Relative Humidity
If you prefer a more automated approach to calculate relative humidity, you can use Excel. Excel is a powerful tool that allows you to perform complex calculations, including humidity calculations. By utilizing the relative humidity formula and inputting the necessary data, you can quickly obtain the relative humidity value.
To calculate relative humidity using Excel, you need to gather the required data, including the dry-bulb temperature, wet-bulb temperature, and atmospheric pressure. Once you have the data, you can use the appropriate formula to calculate the relative humidity. Excel also allows you to create tables and graphs to visualize the data and track changes over time.
Using Excel to calculate relative humidity provides a convenient and efficient way to analyze large datasets and perform multiple calculations simultaneously. It is especially useful for researchers, scientists, and professionals who deal with extensive humidity data and require accurate and reliable results.
Practical Applications of Calculating Relative Humidity
Relative humidity is a crucial factor in various fields and industries. By accurately measuring and calculating relative humidity, we can gain valuable insights and make informed decisions. Let’s explore some practical applications of calculating relative humidity.
One of the most common applications of calculating relative humidity is in maintaining comfortable and healthy indoor environments. Understanding the humidity levels in a room is essential for ensuring the well-being of occupants and the preservation of certain materials.
To calculate the relative humidity in a room, we can use a combination of temperature and moisture content measurements. By employing a hygrometer, which is a device specifically designed to measure humidity, we can obtain accurate readings. The relative humidity formula takes into account the temperature, dew point, and the amount of water vapor present in the air.
By monitoring and controlling the humidity levels in a room, we can prevent issues such as condensation, mold growth, and discomfort caused by excessively dry or humid conditions. This is particularly important in environments such as homes, offices, museums, and storage facilities where maintaining optimal humidity levels is crucial.
Calculating Relative Humidity for Geographic Purposes
Calculating relative humidity is also essential for various geographic purposes, such as weather forecasting and climate studies. Understanding the moisture content in the atmosphere helps meteorologists predict and analyze weather patterns, including the formation of clouds, precipitation, and the likelihood of severe weather events.
Meteorologists utilize humidity calculation methods and psychrometric charts to determine the relative humidity based on temperature and atmospheric pressure measurements. These calculations aid in predicting the behavior of air masses, the formation of fog, and the potential for evaporation or condensation.
By accurately calculating relative humidity in different geographic regions, scientists can gain insights into climate patterns, assess the suitability of certain areas for agriculture, and study the impact of humidity on ecosystems and biodiversity.
Calculating Relative Humidity for Respiratory Therapy
Relative humidity plays a vital role in respiratory therapy, particularly in medical settings where patients require respiratory support. In these cases, it is crucial to maintain optimal humidity levels to ensure the comfort and well-being of patients.
Respiratory therapists use humidity sensors and specialized equipment to measure and control the humidity of inhaled air. By adjusting the humidity levels, they can prevent the drying of respiratory passages and minimize discomfort during treatments.
Calculating relative humidity in respiratory therapy involves considering factors such as the patient’s respiratory condition, the desired moisture level, and the temperature of the inhaled air. By providing the appropriate humidity, respiratory therapists can improve the effectiveness of treatments and enhance patient comfort.
Calculating relative humidity is an important aspect of understanding the moisture content in the air. By using the formula RH = (actual vapor pressure / saturation vapor pressure) * 100, we can determine the relative humidity percentage. This calculation involves measuring the actual vapor pressure and saturation vapor pressure, which can be obtained using various instruments and formulas. Understanding relative humidity is crucial in various fields such as meteorology, agriculture, and indoor comfort. By knowing the relative humidity, we can make informed decisions about ventilation, moisture control, and even predicting weather patterns. Overall, calculating relative humidity helps us understand and manage the moisture levels in our environment.
Frequently Asked Questions
1. How to calculate relative humidity from dew point and temperature?
Relative humidity can be calculated from dew point and temperature using the formula: RH = 100 * (EXP((17.625 * DP) / (243.04 + DP)) / EXP((17.625 * T) / (243.04 + T))), where RH is relative humidity, DP is dew point temperature, and T is actual temperature.
2. How to calculate relative humidity in Excel?
To calculate relative humidity in Excel, you can use the same formula as above. Input your dew point and temperature data in two separate columns, and then use Excel’s formula function to apply the formula to these columns.
3. What’s used to measure relative humidity?
Relative humidity is commonly measured using a device called a hygrometer. There are many types of hygrometers, including sling psychrometers, which use the difference between wet-bulb and dry-bulb temperatures to calculate relative humidity.
4. How to calculate relative humidity with a psychrometer?
A psychrometer measures relative humidity based on the difference in readings between two thermometers, one dry (dry-bulb) and one covered in a wet cloth (wet-bulb). The relative humidity can then be found using a psychrometric chart or formula.
5. How to calculate relative humidity without a chart?
If you don’t have a psychrometric chart, you can use a formula to calculate relative humidity. This typically involves the temperature, dew point, and sometimes the atmospheric pressure.
6. How to calculate relative humidity from absolute humidity?
Absolute humidity is the measure of water vapor (moisture) in the air, regardless of temperature. It’s possible to convert absolute humidity to relative humidity, but you’ll need to know the current temperature and dew point.
7. How to calculate relative humidity using a sling psychrometer?
A sling psychrometer is a type of hygrometer that has two thermometers: a dry bulb and a wet bulb. By spinning the psychrometer in the air, you can get the readings from both thermometers and calculate the relative humidity using a psychrometric chart or formula.
8. How to calculate relative humidity with temperature and vapor pressure?
Relative humidity can be calculated from temperature and vapor pressure using the formula: RH = (VP / SVP) * 100, where RH is relative humidity, VP is actual vapor pressure, and SVP is saturation vapor pressure at the same temperature.
9. How to calculate relative humidity from wet bulb temperature?
To calculate relative humidity from wet bulb temperature, you’ll need to know the dry bulb temperature as well. The difference between the two can be used in a psychrometric chart or formula to find the relative humidity.
10. How to calculate relative humidity from specific humidity?
Specific humidity is the ratio of water vapor mass to the total mass of moist air parcel. To calculate relative humidity from specific humidity, you’ll need to know the temperature and pressure, and use these in a specific formula or psychrometric chart.
Relative humidity is the measurement of water vapor present in the air. In this article, we will discuss different Examples.
Relative humidity(RH or ɸ) indicates the amount of water vapor in the air in comparison to the amount of water vapor the air can possibly hold at that particular temperature. A relative humidity of 50% means the air holds only half of water vapor it can actually hold.
It is responsible for safety and durability of machineries, cars, houses etc. and it affects greatly the health, comfort and security of human being.
Weather Forecasting
Measurement of relative humidity helps in weather forecasting. Prediction for rain, fog or moist occurring in atmosphere can be done with the help of humidity monitoring.
Accurate and reliable prediction is of great importance in all fields concerning global climate changes like the hydrological phase and ablation of glaciers.
A highly humid condition indicates more moisture content in the air, which means more possibilities for cloud formation, and if the temperature goes down rain falling also occurs. The weather is forecasted based on present weather patterns including wind and humidity and depending on long-term weather statistics.
The animal raising conditions in livestock stations and poultry houses play vital roles in both animal health and production. Relative Humidity has adverse effects on animal welfare including poor growth and development.
The high humid condition may cause stress on the animal respiratory system and many infectious diseases. Correct monitoring and controlling could result in significant improvement in animal husbandry.
Controlling humidity around the final output is important as extreme humid conditions affect the product, therefore continuous monitoring is essential in food production industries. If we consider the chocolate industry, the relative humidity in storage should be maintained at a predetermined level.
If the humid level rises above the required level and remains at that level for a long time, moisture starts forming on the surface of the chocolate leading to dissolving of sugar.
After the evaporation of moisture, sugar starts forming crystals which gives a white, dusty, grainy appearance on the chocolate surface. This phenomenon is known as sugar blooming .
Characteristics of pharmaceutical products
Pharmaceutical products are generally highly sensitive to moisture content so improper humid condition becomes a great threat for pharmaceutical companies also.
Controlling accurate humid levels is essential and medicines in the form of pills, and dry powders should be kept in a controlled condition. Moisture content more than the required level alters the properties of the medicines to such an extent that medicines become useless.
Air Conditioners
Relative humidity plays a crucial role in maintaining the efficiency of HVAC systems used in residential houses and commercial buildings.
A highly humid condition inside a home, force the air conditioner to work overtime to maintain a comfortable atmosphere. It leads to less efficiency of the air conditioner and require frequent maintenance, at the same time we may face a hike in energy bills.
Another negative impact of it is that it cancels out the cooling effect of the AC, even though the continuous running of air conditioning system we cannot derive the expected result. In simple words in spite paying more to cool your home wont cool it that effectively.
In low humid conditions, an occupant might experience aggravate allergies, eye irritations, stuffy nose, and chances of more spread of viral infections.
Building Materials
Relative Humidity has harsh impact on building materials also which may lead to high amount of monetary loss.A highly humid situation decreases the compressive strength of concrete affecting itsdurability. Moisture content enhances microbial growth like mold, bacteria, dust mites, fungi mildew, etc.
In case of concrete flooring, if the concrete is not sufficiently dry before floor laying it may cause the floor to swell, blister and crack. In that case only option left behind is complete replacement of the floor which is quite expensive and time consuming.
Excessive humid weather causes dampness inside the home and creates a unpleasant musty odor .
Agriculture and crop quality
Relative humidity is the most difficult factor to control in a greenhouse for the perfect growth of crops and plants.Highly humid condition results problems like foliar and root diseases, loss of quality, loss in yields etc. Requirement of more pesticides for disease control gives the plant a weak and stretched growth.
The too low situation results in a slow rate of plant growth and crops need a much longer period to get the saleable size; dropping off lower leaves, and low quality are also associated with low humidity.
Both the low and high humid conditions, the lower grade of quality reduce the selling price of crops and increases production costs and hinders greatly the overall profit.
To know the exact efficiency of the cooling tower, monitoring of relative humidity of atmosphere is necessary.
Relative humidity in air does affect the rate of evaporation from the tower. In refineries, regular monitoring is done to know the cooling efficiency of the tower.
If temperature increases it will lead to a decrease in relative humidity, thus the air will become drier whereas when temperature decreases, the air will become wet means it will increase.
Cold Storage
Maintaining an accurate humid condition inside cold storage is vital because food products are hygroscopic in nature and their properties and texture vary with the humidity of air in the circumstances, not only with the temperature change. Accurate humid condition is necessary from economic point of view.
Fruits, vegetables, meat, dairy products(like paneer, cheeses), and other foodstuffs are stored at low temperature to enable their logistics within the cold chain and a correct humid control in cold storage is necessary.
Right humid atmosphere ensures that the product quality is maintained, the fresh look of the vegetables and fruits increases the price, profitability is high due to maintained product weight, longer storage and greater self-life reduces waste.
In this article we will discuss about different Pressure Drag Examples. The pressure drag depends on the cross sectional area of the body rather than the surface area exposed.
Pressure Drag Examples are frequently seen in our daily life. Pressure drag occurs due to the increased pressure on the front end and decreased pressure on the rear end of an object while travelling through a fluid.
Different examples of pressure drag are listed below:
Pressure drag is also caused by stationary object around which fluid medium passes. Streamlining reduces the Pressure Drag.
A spherical shaped body moving through air
A spherical shaped body experience high pressure drag while moving through a fluid due to its shape. The more surface area the more air particles will hit and greater the resistance experienced by the body.
Due to the boundary layer separation in case of a spherical body low pressure wake is formed behind the body.
Wind drag applied on a particular shape;Image Credit: Wikipedia
A bicycle
Aerodynamic drag is indeed a major resistive force in cycling, every bicyclist has to overcome the wind resistance. Pressure drag plays a major role in cycling, mainly caused by the air particles push together on the front facing surfaces and more spaced out on the back surfaces creating a vast pressure difference between front and back ends.
Every cyclist who has ever pedalled into a stiff headwind knows about wind resistance. It’s exhausting! In order to move forward, the cyclist must push through the mass of air in front of him.
Different forms of drag forces like friction, pressure and wave drag continuously act on a swimmer as he steps down in the pool to their final touch at the wall. Frictional drag occurs as a result of rubbing of water molecules with the body of the swimmer, a smoother body of the swimmer reduces friction to some extent.
While swimming at higher speed, there is an increase in pressure in the frontal region (head of the swimmer) creating a pressure difference between the two ends of the swimmer’s body. This difference in pressure generates turbulence behind the swimmer’s body, this extra resistance force is the pressure drag.
Wave drag occurs as a result of the swimmer’s body submerged in the water and partly out of the water. All the wave drag force is generated from the head and shoulder portion of swimmer’s body.
A cylindrical body is an example of bluff body that means high pressure drag is created due to its shape. A bluff body is a body whose surface is not aligned with the streamlines whenever it is placed in a flow of air or liquid.
A cylinder offers less resistance in terms of frictional drag but a offers a large pressure drag due to the eddy formation after the body moves through a large wake region.
A moving car
In case of a moving car, the magnitude of drag force is equal and acting in an opposite direction to the force that the engine creates at the wheels of the vehicle. Due to these two equal and opposite forces acting on the car, the net resulting force becomes zero and the car can maintain a constant speed.
If the we make the force produced by the engine zero by keeping the car in a neutral position for a while then only drag force acts on the car. At this condition, the net force is available on the car and the car decelerates.
Pressure drag comes from the eddying motions that are set up in the fluid by the passage of a body. The drag is associated with the formation of a wake in the flow.
A truck with flat frontal area experiences high air resistance than a sports car with streamlined body.
A flow which experiences an increased pressure is known as flow in adverse pressure gradient. After following this condition far enough boundary layer separates from the surface and creates eddies and vortices behind the body. As a result pressure drag increases(due to vast pressure differential between two ends) and lift decreases.
In case of an aerofoil with higher angle of attack, the adverse pressure gradient on the top rear portion produces a separated flow. Due to this separation, wake size increases and pressure loss occurs due to eddy formation. As a result pressure drag increases.
At a higher angle of attack, a large fraction of the flow above the top of the aerofoil may be separated, at this point pressure drag is higher than the viscous drag.
Airflow separating from a wing at a high angle of attack; Image Credit: Wikipedia
A moving truck
In case of a commercial truck the pressure drag or form drag is quite high due to the larger frontal cross sectional area. Pressure drag produced is greatly influenced by the shape and size of the object.
Bodies with a larger presented cross section experiences higher drag than thinner or streamlined objects.
Pressure drag follows the drag equation that it increases with the square of the speed and thus plays a great role for high speed vehicles.
The performance and fuel efficiency of a vehicle depends on two aerodynamic forces pressure drag and skin friction drag. An effort is always given to shape a body with less drag.
When a skydiver jumps from the airplane both air resistance or drag and gravitational force act on his body. Gravitational force remains constant but the air resistance increases with increase in earthbound velocity.
The force of the air particles striking the body can be changed by altering his body position (the cross sectional area of the body). This changes the velocity of the skydiver towards the earth.
The drag(resistance) force experienced by the body can be represented by the following formula:
When a boat passes through a fluid medium eddying motion set behind the body which results in pressure drag. This drag is associated with wake formation which can be observed behind a passing boat.
In comparison to friction drag, pressure drag is less sensitive to Reynolds number. Pressure drag is important for separated flows.
This drag force can be observed in the form of a wake seen behind a passing boat.
Wake formation behind a boat; Image Credit: Unsplash
A piece of brick
A piece of brick due to its bluff body like structure experiences high pressure drag when moves through a fluid.
For a bluff body dominant source of drag is pressure drag and always depend on the cross sectional area.
In this article, we will discuss different examples of drag Forces with detailed insights. Drag Forces are mechanical forces generated due to the interaction of a solid body with its surrounding fluid.
Drag Force Examples are very common and frequently seen in nature as the force acting opposite to the relative motion of any moving body. Whenever a body moves through air this resistive force is called aerodynamic drag and if the travelling medium is water, then it is known as hydrodynamic drag.
Forces on a boat result from motion of air which interact with the boat and results a motive power for sailing in water. The forces acting on the boat depend on wind speed and direction as well as the speed and direction of the craft.
Four forces act on the boat: its weight, the buoyant force (the contact force with the water that pushes the boat up), the forward force of the wind, and the backward drag of the water.
The drag force D experienced by a body while travelling through a fluid is given by,
Where:
C is the drag coefficient, typical values ranging from 0.4 to 1.0 for different fluids (such as air and water)
ρ is the density of the fluid through which the body is moving
v is the speed of the body relative to the fluid
A is the projected cross-sectional area of the body perpendicular to the flow direction .
The combined outcome of four forces drag, thrust, lift and weight make it possible to fly an aeroplane in the sky.
The weight of the aeroplane pulls it towards the centre of the earth, to overcome this pulling force enough lift in upward direction is required. Lift is the result of differences in air pressure on and above the aeroplane wings. Aeroplane engine produces thrust in the direction of motion of the plane which is balanced by the drag force acting opposite to the direction of motion.
When an airplane is flying straight and level at a constant speed, the lift it produces balances its weight, and the thrust it produces balances its drag. However, this balance of forces changes as the airplane rises and descends, as it speeds up and slows down, and as it turns.
Forces acting on an aeroplane in a steady level longitudinal flight ; Image Credit: Wikipedia
A bird flying in the sky
Flapping wings by bird is one of the widespread propulsion methods available in nature.
In case of a bird, the lift that is generated by flapping the wings can be considered as a vertical force that supports the weight of the bird’s body (i.e. downward gravitational pull). Here drag is considered as the horizontal force that opposes thrust. Thrust is the force that moves the object in the forward direction, for a bird the trust is provided by the muscles of the bird.
Drag is caused by air resistance and acts in the opposite direction of motion, drag produced depends on the shape of the object, density of air and the moving speed of that object. Thrust can either overcome or counteract the drag force.
During forward flight, a bird’s body generates drag that tends to decelerate its speed. By flapping its wings, or by converting potential energy into work if gliding, the bird produces both lift and thrust to balance the pull of gravity and drag
In case of a moving car, the magnitude of drag force is equal and acting in an opposite direction to the force that the engine creates at the wheels of the vehicle. Due to these two equal and opposite forces acting on the car, the net resulting force becomes zero and the car can maintain a constant speed.
If the we make the force produced by the engine zero by keeping the car in a neutral position for a while then only drag force acts on the car. At this condition, the net force is available on the car and the car decelerates.
Riding a bicycle or bike
Aerodynamic drag is indeed a major resistive force in cycling, every bicyclist has to overcome the wind resistance. Pressure drag plays a major role in cycling, mainly caused by the air particles push together on the front facing surfaces and more spaced out on the back surfaces
Every cyclist who has ever pedaled into a stiff headwind knows about wind resistance. It’s exhausting! In order to move forward, the cyclist must push through the mass of air in front of him.
Bike
Bicycles and motorcycles are both single-track vehicles and so their motions have many fundamental attributes in common. If we consider the biker and the bike as a single system the external forces acting are: drag force, gravitational force, inertia, frictional force from the ground and internal forces are caused by the rider.
The drag force acts on a parachute depends on the size of the parachute, larger the parachute higher will be the drag force acting on it.
The two forces acting on a parachute are drag force or air resistance and the gravitational force. Drag force acts in the opposite direction of gravitational force and slows down the parachute whenever it falls.
When a skydiver jumps from the airplane both air resistance or drag and gravitational force act on his body. Gravitational force remains constant but the air resistance increases with increase in earthbound velocity.
The force of the air particles striking the body can be changed by altering his body position (the cross sectional area of the body). This changes the velocity of the skydiver towards the earth.
The drag(resistance) force experienced by the body can be represented by the following formula:
Trajectory of an arrow is influenced by three forces: a) force of acceleration from the bow towards the target, b) force of acceleration towards the earth due to gravitational force, and c) force of deceleration due to aerodynamic drag on the arrow.
The bow string force accelerates the arrow from the bow until the arrow reaches the launch velocity, drag force slows down its velocity as the arrow moves through the air. Finally the gravitational force brings back the arrow to the earth surface.
Large forces result in acceleration but heavy masses are very hard to accelerate or decelerate. Therefore, a lighter arrow leaves the bow at faster speed and loses velocity faster during the flight.
Runners
When the runners run the “wind” they experience pushing against them is actually the force of drag.In case of a runner or swimmer the drag force is always acting against the motion, trying to slows down their motion. To overcome the drag a runner has to move fast to make the running forward. In other words more thrust should be produced by the body.
Swimmers
Different forms of drag forces like friction, pressure and wave drag continuously act on a swimmer as he steps down in the pool to their final touch at the wall. Frictional drag occurs as a result of rubbing of water molecules with the body of the swimmer, a smoother body of the swimmer reduces friction to some extent.
Wave drag occurs as a result of the swimmer’s body submerged in the water and partly out of the water. All the wave drag force is generated from the head and shoulder portion of swimmer’s body.
Motion of balls
As the ball moves through air, Drag will resist the motion of the ball during its flight, and will reduce its range and height, at the same time crosswinds will deflect it from its original path. Both the effects are considered by the players in sports like golf.
A bouncing ball generally follows projectile motion, different forces act on a ball are drag force, gravitational force, magnus force due to ball’s spin and buoyant force, all the forces have to be considered to analyze ball’s motion.
In general, there are many factors that affect the magnitude of the drag force including the shape and size of the ball, the square of the velocity of the object, and conditions of the air; particularly, the density and viscosity of the air. Determining the magnitude of the drag force is difficult because it depends on the details of how the flow interacts with the surface of the object. For a soccer ball, this is particularly difficult because stitches are used to hold the ball together.
Compressor isentropic efficiency is a crucial parameter that measures the performance of a compressor. It is a measure of how effectively a compressor can convert the input power into useful work by compressing the gas. In simple terms, it tells us how close the compressor’s actual performance is to the ideal, reversible process known as isentropic compression. The higher the isentropic efficiency, the better the compressor’s performance. This efficiency is influenced by various factors such as the design of the compressor, the type of gas being compressed, and the operating conditions. Understanding compressor isentropic efficiency is essential for engineers and technicians involved in the design, operation, and maintenance of compressors, as it helps in optimizing their performance and energy consumption. In this article, we will delve deeper into the concept of compressor isentropic efficiency, its significance, and the factors affecting it. So, let’s get started!
Key Takeaways
Compressor isentropic efficiency is a measure of how well a compressor can convert input power into useful work.
It is calculated by comparing the actual work done by the compressor to the ideal work that would be done in an isentropic process.
Higher isentropic efficiency indicates a more efficient compressor, as it can deliver more work output for the same input power.
Factors such as design, operating conditions, and maintenance affect the isentropic efficiency of a compressor.
Improving compressor isentropic efficiency can lead to energy savings and reduced operating costs.
Definition of Isentropic Efficiency
Isentropic efficiency is a crucial parameter used to evaluate the performance of compressors. It measures how effectively a compressor can compress a gas without any losses due to heat transfer or friction. In simple terms, it is a measure of how close a compressor’s actual performance is to the ideal, reversible, adiabatic compression process known as the isentropic process.
The isentropic process is a theoretical concept in thermodynamics where a gas undergoes a reversible and adiabatic compression or expansion. During this process, there is no heat transfer between the gas and its surroundings, and there are no losses due to friction. The isentropic process is often used as a reference to compare the actual performance of compressors.
Isentropic efficiency is defined as the ratio of the actual work done by the compressor to the work that would be required in an ideal, isentropic compression process. It is denoted by the symbol ηs (eta-s). The higher the isentropic efficiency, the closer the compressor’s performance is to the ideal isentropic process.
Importance of Isentropic Efficiency in Compressors
Isentropic efficiency plays a vital role in determining the overall performance and energy efficiency of compressors. It directly affects the power consumption, heat transfer, and the amount of work required to compress a gas.
Energy Efficiency: Compressors are widely used in various industries, including refrigeration, air conditioning, gas turbines, and more. In these applications, energy efficiency is of utmost importance. By understanding and optimizing the isentropic efficiency of compressors, engineers can design more efficient systems that consume less energy and reduce operating costs.
Power Consumption: The isentropic efficiency of a compressor directly affects the power required to compress a gas. A higher isentropic efficiency means that the compressor can achieve the desired pressure with less work, resulting in lower power consumption. This is particularly important in large-scale applications where compressors operate continuously and consume a significant amount of energy.
Heat Transfer: In compressors, heat transfer occurs due to the compression process. The higher the isentropic efficiency, the lower the heat transfer losses. By minimizing heat transfer, the compressor can maintain a lower discharge temperature, which is crucial for the longevity and reliability of the system.
Typical Isentropic Efficiency of Compressors
The isentropic efficiency of compressors varies depending on their design, operating conditions, and the type of gas being compressed. Different types of compressors, such as centrifugal compressors and axial compressors, have different typical isentropic efficiencies.
Centrifugal Compressors: Centrifugal compressors are commonly used in applications that require high flow rates and moderate pressure ratios. They are known for their high isentropic efficiency, typically ranging from 75% to 85%. However, it is important to note that the efficiency of centrifugal compressors can vary significantly based on their specific design and operating conditions.
Axial Compressors: Axial compressors are widely used in aircraft engines, power plants, and other applications that require high-pressure ratios. They typically have isentropic efficiencies ranging from 85% to 90%. Axial compressors are known for their excellent efficiency and are often used in applications where energy efficiency is critical.
Enthalpy Entropy Diagram
Enthalpy Entropy Diagram
It is important to note that these values are general guidelines, and the actual isentropic efficiency of a compressor can vary based on factors such as design, maintenance, and operating conditions. Manufacturers often provide performance maps or curves that show the efficiency characteristics of their compressors at different operating points.
In conclusion, understanding compressor isentropic efficiency is crucial for evaluating compressor performance, optimizing energy efficiency, and reducing operating costs. By considering the isentropic efficiency, engineers can design and operate compressors more effectively, resulting in more efficient and reliable systems.
The Science Behind Compressor Isentropic Efficiency
A. Thermodynamics and Isentropic Efficiency
In the world of compressors, isentropic efficiency plays a crucial role in determining their performance. To understand compressor isentropic efficiency, we need to delve into the realm of thermodynamics. Thermodynamics is the branch of physics that deals with the relationships between heat, work, and energy. It provides us with the tools to analyze and optimize the performance of various energy conversion systems, including compressors.
One key concept in thermodynamics is the isentropic process. An isentropic process is an idealized process that occurs without any heat transfer to or from the system. In other words, it is a process that is both adiabatic (no heat transfer) and reversible (no irreversibilities or losses). Isentropic processes are often used as a reference for analyzing the performance of real-world processes, such as those occurring in compressors.
Isentropic efficiency, denoted by η_isen, is a measure of how well a compressor is able to achieve an isentropic process. It is defined as the ratio of the actual work done by the compressor to the work that would be required if the process were isentropic. In simple terms, isentropic efficiency tells us how close a compressor is to an ideal, lossless compressor.
B. Isentropic Compression Efficiency Formula
The isentropic compression efficiency of a compressor can be calculated using the following formula:
η_isen = (h1 – h2s) / (h1 – h2)
In this formula, h1 represents the enthalpy of the gas at the compressor inlet, h2s represents the enthalpy of the gas at the compressor outlet assuming an isentropic process, and h2 represents the actual enthalpy of the gas at the compressor outlet.
The isentropic compression efficiency is a dimensionless quantity that ranges from 0 to 1. A value of 1 indicates that the compressor is able to achieve an isentropic process perfectly, while a value of 0 indicates that the compressor is unable to achieve any compression at all.
Compressor isentropic efficiency formula
Isentropic Efficiency of Compressorformula is denoted by the ratio of ideal or isentropic work done to actual work done.
Here, T2’ denotes the exit temperature for ideal or isentropic case.
T1 denotes the temperature at inlet
T2 denotes the temperature at outlet for actual case
Cp is the specific heat, which is considered constant. In terms of compression pressure ratio, the above formula is denoted by:-
Where,
Where Pr is compression pressure ratio, γ is the ratio of specific heats Cp/Cv.
Form above, the Actual exit temperature T2 can be calculated by
Types of Compressors and Their Isentropic Efficiency
A. Reciprocating Compressor Isentropic Efficiency
A reciprocating compressor is a type of compressor that uses a piston to compress the gas. It is commonly used in applications where a high pressure ratio is required, such as in refrigeration and air conditioning systems. The isentropic efficiency of a reciprocating compressor refers to how efficiently it can compress the gas without any heat transfer or pressure losses.
The isentropic efficiency of a reciprocating compressor is influenced by several factors, including the design of the compressor, the type of gas being compressed, and the operating conditions. Generally, reciprocating compressors have high isentropic efficiencies, typically ranging from 70% to 90%.
One of the main advantages of reciprocating compressors is their ability to achieve high compression ratios, which allows for efficient gas compression. However, they also have some limitations, such as higher maintenance requirements and a higher level of noise compared to other types of compressors.
B. Centrifugal Compressor Isentropic Efficiency
Centrifugal compressors are widely used in various industries, including oil and gas, petrochemical, and power generation. They are known for their high flow rates and compact design. The isentropic efficiency of a centrifugal compressor is a measure of how well it can compress the gas without any heat transfer or pressure losses.
Compared to reciprocating compressors, centrifugal compressors typically have lower isentropic efficiencies, ranging from 70% to 85%. This is due to the inherent design characteristics of centrifugal compressors, such as the presence of impellers and diffusers, which introduce some level of inefficiency into the compression process.
Despite their lower isentropic efficiencies, centrifugal compressors offer advantages such as lower maintenance requirements, smoother operation, and the ability to handle a wide range of flow rates. They are often used in applications where a high flow rate is required, such as in large-scale industrial processes.
C. Axial Compressor Isentropic Efficiency
Axial compressors are commonly used in aircraft engines, gas turbines, and turbochargers. They are designed to handle large volumes of gas and achieve high compression ratios. The isentropic efficiency of an axial compressor measures how efficiently it can compress the gas without any heat transfer or pressure losses.
Axial compressors are known for their high isentropic efficiencies, typically ranging from 80% to 90%. This is due to their unique design, which consists of multiple stages of rotating and stationary blades that work together to compress the gas.
The high isentropic efficiency of axial compressors makes them ideal for applications where energy efficiency is crucial, such as in aircraft engines and gas turbines. However, they are also more complex and expensive to manufacture compared to other types of compressors.
D. Screw Compressor Isentropic Efficiency
Screw compressors are widely used in various industries, including refrigeration, air conditioning, and process gas compression. They are known for their compact design, high reliability, and low maintenance requirements. The isentropic efficiency of a screw compressor refers to how efficiently it can compress the gas without any heat transfer or pressure losses.
Screw compressors typically have high isentropic efficiencies, ranging from 80% to 90%. This is due to their unique design, which consists of two interlocking helical rotors that compress the gas as they rotate.
One of the main advantages of screw compressors is their ability to handle a wide range of flow rates and provide a continuous supply of compressed gas. They are also known for their quiet operation and low vibration levels. However, they may not be suitable for applications where a high compression ratio is required.
E. Scroll Compressor Isentropic Efficiency
Scroll compressors are commonly used in residential and commercial air conditioning systems, heat pumps, and refrigeration units. They are known for their compact size, quiet operation, and high reliability. The isentropic efficiency of a scroll compressor measures how efficiently it can compress the gas without any heat transfer or pressure losses.
Scroll compressors typically have high isentropic efficiencies, ranging from 70% to 80%. This is due to their unique design, which consists of two interleaving spiral-shaped scrolls that compress the gas as they orbit.
One of the main advantages of scroll compressors is their ability to provide a smooth and continuous flow of compressed gas, resulting in improved energy efficiency. They are also known for their low maintenance requirements and long service life. However, they may not be suitable for applications where a high compression ratio is required.
In conclusion, different types of compressors have varying isentropic efficiencies, which are influenced by factors such as design, gas type, and operating conditions. Understanding the isentropic efficiency of a compressor is crucial for selecting the most suitable compressor for a specific application, taking into account factors such as energy efficiency, flow rate requirements, and maintenance considerations.
Isentropic Efficiency in Different Systems
A. Gas Turbine Compressor Isentropic Efficiency
Gas turbine compressors play a crucial role in the operation of gas turbines, which are widely used in power generation and aircraft propulsion systems. The isentropic efficiency of a gas turbine compressor is a key parameter that determines its performance and energy efficiency.
The isentropic efficiency for a gas turbine is defined by following expression:
ηT=Real Turbine Work/ Isentropic Turbine Work
Isentropic efficiency is a measure of how well a compressor can compress the incoming air without any losses due to heat transfer or friction. It represents the ratio of the actual work done by the compressor to the ideal work that would be required in an isentropic (reversible adiabatic) process. In simple terms, it quantifies how close the compressor comes to an ideal, frictionless compression process.
Gas turbine compressors can be either centrifugal or axial flow compressors. Centrifugal compressors use centrifugal force to accelerate the air and then convert the kinetic energy into pressure energy. On the other hand, axial flow compressors use a series of rotating and stationary blades to compress the air in a continuous flow.
The isentropic efficiency of a gas turbine compressor depends on various factors, including the design of the compressor, the number of compressor stages, and the operating conditions. Higher isentropic efficiency indicates a more efficient compressor, as it requires less work to achieve the desired pressure ratio.
B. Refrigeration Compressor Isentropic Efficiency
Refrigeration systems are widely used in various applications, including air conditioning, food preservation, and industrial processes. The compressor is a vital component of a refrigeration system, responsible for compressing the refrigerant and increasing its pressure.
The isentropic efficiency of a refrigeration compressor is an important parameter that affects the overall performance and energy efficiency of the system. It measures the ability of the compressor to compress the refrigerant without any losses in the form of heat transfer or pressure drop.
Refrigeration compressors can be classified into different types, such as reciprocating, rotary, and scroll compressors. Each type has its own advantages and disadvantages in terms of efficiency, cost, and noise level.
To improve the isentropic efficiency of a refrigeration compressor, manufacturers focus on optimizing the compressor design, reducing internal losses, and minimizing leakage. Additionally, proper maintenance and regular cleaning of the compressor can help maintain its efficiency over time.
C. Heat Pump Compressor Isentropic Efficiency
Heat pumps are devices that transfer heat from a lower temperature source to a higher temperature sink, using mechanical work. The compressor in a heat pump plays a crucial role in raising the temperature of the working fluid and increasing its pressure.
Performance of a heat pump is defined by:
Where,
V= volume in cum/m
z= Compresibility facotor, 1 for air
ρ= density of air
R= universal gas constant, 286 J/(kg*К) for air
γ = ratio of specific heat, 1.4 for air
Calculating, by putting the above values we get
nw = 175.5 KW
Thus, the isentropic efficiency of compression is nw/na = 17.5./200 = 0.88 or 88%
Comparing the efficiencies of reciprocating compressors, centrifugal compressors and axial flow compressors, the later has the best efficiencies and ranges above 90%. This is mostly because of of minimum mechanical and aerodynamic losses it encounters as the gas traverses the path thoruch the compressing device.
A typical axial compressor is shown below. it has got alternate rotaing vanes and static airfoils, which converts the kinetic energy to pressure.
Axial flow compressors are generally employed for high flow rates primarily in jet engines, as turbines and some process apllications. For a given flow however, compared to a centrifugal machine which has a raidal flow componet, the axial flow compressors have lower wetted area and loe sealing requriement contributing to its higher isentropic efficiency.
Compressor Polytropic Efficiency vs Isentropic Efficiency
A. Understanding Compressor Polytropic Efficiency
When it comes to understanding the efficiency of a compressor, two important terms often come up: polytropic efficiency and isentropic efficiency. In this section, we will focus on understanding compressor polytropic efficiency.
What is Polytropic Efficiency?
Polytropic efficiency is a measure of how effectively a compressor can compress a gas. It takes into account the energy losses that occur during the compression process, such as heat transfer and friction. Unlike isentropic efficiency, which assumes an ideal, reversible process with no energy losses, polytropic efficiency considers the real-world conditions and factors that affect the compression process.
How is Polytropic Efficiency Calculated?
The calculation of polytropic efficiency involves comparing the actual work done by the compressor to the work that would be done in an ideal, isentropic process. The formula for polytropic efficiency is as follows:
The actual work done by the compressor can be determined by measuring the power input to the compressor motor, while the isentropic work can be calculated using the ideal gas law and the pressure ratio across the compressor.
B. Comparison Between Polytropic and Isentropic Efficiency
Now that we have a basic understanding of polytropic efficiency, let’s compare it to isentropic efficiency.
Isentropic Efficiency: The Ideal Case
Isentropic efficiency is a measure of how close a compressor comes to achieving an ideal, reversible compression process. In an isentropic process, there are no energy losses, and the entropy of the gas remains constant. This idealized process assumes that the compression is adiabatic (no heat transfer) and reversible (no friction or other losses).
Polytropic Efficiency: Accounting for Real-World Factors
Unlike isentropic efficiency, polytropic efficiency takes into account the energy losses that occur during the compression process. These losses can be caused by factors such as heat transfer between the gas and the compressor walls, friction in the compressor components, and non-ideal gas behavior. Polytropic efficiency provides a more realistic measure of how efficiently a compressor is performing under real-world conditions.
Comparing the Two Efficiencies
In general, isentropic efficiency is higher than polytropic efficiency because it assumes an ideal, lossless process. However, in real-world applications, achieving isentropic efficiency is not always possible due to the presence of energy losses. Polytropic efficiency gives a more accurate representation of the actual performance of a compressor.
It’s important to note that both polytropic and isentropic efficiency are valuable metrics for evaluating compressor performance. While isentropic efficiency provides an ideal benchmark, polytropic efficiency accounts for the real-world factors that affect compressor operation.
In summary, polytropic efficiency and isentropic efficiency are two measures used to evaluate the performance of compressors. Polytropic efficiency considers the energy losses that occur during compression, providing a more realistic measure of compressor performance. Isentropic efficiency, on the other hand, assumes an ideal, lossless process. Both metrics have their merits and are useful in different contexts.
Calculating Compressor Isentropic Efficiency
A. How to Calculate Compressor Isentropic Efficiency
Compressor isentropic efficiency is a crucial parameter that determines the performance of a compressor. It measures how effectively a compressor can compress a gas without any heat transfer or pressure losses. To calculate the compressor isentropic efficiency, you need to know the inlet and outlet conditions of the compressor, such as the pressure and temperature.
The formula to calculate compressor isentropic efficiency is as follows:
Isentropic Efficiency = (h1 – h2s) / (h1 – h2)
Where: – h1 is the enthalpy at the compressor inlet – h2s is the isentropic enthalpy at the compressor outlet – h2 is the actual enthalpy at the compressor outlet
The enthalpy values can be obtained from thermodynamic tables or through calculations using the specific heat capacity of the gas being compressed.
B. Practical Examples of Compressor Isentropic Efficiency Calculation
Let’s consider a practical example to understand how to calculate compressor isentropic efficiency. Suppose we have a centrifugal compressor that compresses air from an inlet pressure of 1 bar to an outlet pressure of 5 bar. The inlet temperature is 25°C, and the outlet temperature is 100°C. We want to determine the isentropic efficiency of the compressor.
First, we need to find the enthalpy values at the compressor inlet and outlet. Using the specific heat capacity of air (Cp), we can calculate the enthalpy as follows:
h1 = Cp * (T1 – Tref) h2 = Cp * (T2 – Tref)
Where: – T1 is the temperature at the compressor inlet – T2 is the temperature at the compressor outlet – Tref is the reference temperature (usually taken as 0°C)
Let’s assume Cp for air is 1 kJ/kg·K. Plugging in the values, we get:
In this example, the isentropic efficiency of the centrifugal compressor is approximately 43.24%. This means that the compressor is able to achieve 43.24% of the ideal isentropic compression process, considering the given inlet and outlet conditions.
By calculating the compressor isentropic efficiency, engineers can evaluate the performance of a compressor and compare it with other compressors. This information is vital for selecting the right compressor for a specific application and optimizing energy efficiency in various industries, including refrigeration, air conditioning, and power generation.
Improving Compressor Isentropic Efficiency
A. Performance Optimization for Better Efficiency
To improve the isentropic efficiency of a compressor, various performance optimization techniques can be employed. These techniques aim to enhance the efficiency of the compression process, resulting in reduced energy consumption and improved overall performance. Here are some key strategies for optimizing compressor efficiency:
Proper Sizing and Selection: Ensuring that the compressor is properly sized and selected for the specific application is crucial. This involves considering factors such as the required flow rate, pressure ratio, and operating conditions. Choosing the right compressor type (centrifugal or axial) and the appropriate number of stages can significantly impact efficiency.
Optimal Pressure Ratio: The pressure ratio, defined as the ratio of the discharge pressure to the suction pressure, plays a vital role in compressor efficiency. By carefully selecting the pressure ratio, it is possible to achieve higher isentropic efficiency. However, it is important to strike a balance, as excessively high pressure ratios can lead to increased mechanical losses and reduced efficiency.
Enhanced Heat Transfer:Improving heat transfer within the compressor can help increase efficiency. This can be achieved through the use of advanced cooling techniques, such as intercooling and aftercooling. These techniques involve removing heat from the compressed air between stages, reducing the temperature and improving overall efficiency.
Reduced Internal Leakage: Minimizing internal leakage within the compressor is crucial for improving efficiency. This can be achieved through proper sealing and maintenance of the compressor components. Regular inspections and maintenance can help identify and address any leakage issues, ensuring optimal performance.
Optimized Operating Conditions: Operating the compressor at its optimal conditions can significantly improve efficiency. This includes maintaining the compressor within its recommended speed range, avoiding excessive pressure drops, and ensuring proper lubrication. Additionally, controlling the inlet air temperature and humidity can help optimize performance.
B. Advanced Design and Technology for Efficiency Improvement
Advancements in compressor design and technology have paved the way for significant improvements in isentropic efficiency. Here are some key areas where advanced design and technology have contributed to efficiency improvement:
Improved Aerodynamics:Modern compressors incorporate advanced aerodynamic designs that optimize airflow and reduce losses. This includes the use of advanced blade profiles, optimized impeller and diffuser geometries, and the incorporation of computational fluid dynamics (CFD) simulations. These advancements help minimize flow separation, reduce pressure losses, and enhance overall efficiency.
Efficient Mechanical Systems:The mechanical systems within a compressor, such as bearings and seals, play a crucial role in overall efficiency. Advanced bearing technologies, such as magnetic bearings and oil-free designs, minimize friction losses and improve efficiency. Similarly, advanced sealing techniques help reduce internal leakage and improve overall performance.
Variable Geometry: Compressors with variable geometry offer enhanced efficiency by adjusting the compressor’s internal geometry based on operating conditions. This allows for better matching of the compressor’s performance to the system requirements, resulting in improved efficiency across a wider range of operating conditions.
Advanced Materials:The use of advanced materials, such as lightweight alloys and composites, in compressor construction helps reduce weight and improve efficiency. These materials offer better strength-to-weight ratios, reducing the energy required to drive the compressor and improving overall efficiency.
Smart Control Systems:The integration of smart control systems and advanced algorithms allows for real-time monitoring and optimization of compressor performance. These systems can adjust operating parameters, such as speed and pressure, to maximize efficiency based on the current operating conditions. This results in improved overall efficiency and reduced energy consumption.
C. Maintenance and Its Impact on Isentropic Efficiency
Regular maintenance plays a crucial role in maintaining and improving the isentropic efficiency of a compressor. Neglecting maintenance can lead to decreased efficiency, increased energy consumption, and potential system failures. Here are some key maintenance practices and their impact on isentropic efficiency:
Regular Inspection and Cleaning: Regularly inspecting and cleaning the compressor components, such as the impeller, diffuser, and inlet filters, is essential for optimal performance. Accumulated dirt, debris, and fouling can restrict airflow, increase pressure losses, and reduce efficiency. Cleaning these components ensures smooth airflow and optimal performance.
Proper Lubrication:Adequate lubrication of the compressor’s moving parts is crucial for reducing friction losses and maintaining efficiency. Regularly checking and replenishing lubricants, as per the manufacturer’s recommendations, helps ensure smooth operation and optimal efficiency.
Seal Maintenance:Proper maintenance of seals, gaskets, and O-rings is essential for minimizing internal leakage and improving efficiency. Regularly inspecting and replacing worn-out seals helps maintain proper compression and prevents energy losses due to leakage.
Vibration Analysis: Monitoring and analyzing compressor vibrations can help identify potential issues and prevent failures. Excessive vibrations can indicate misalignment, worn-out bearings, or other mechanical problems that can negatively impact efficiency. Timely detection and correction of these issues can help maintain optimal efficiency.
Performance Monitoring: Implementing a comprehensive performance monitoring system allows for real-time tracking of key performance parameters, such as pressure, temperature, and power consumption. Any deviations from expected values can be quickly identified, allowing for timely corrective actions to maintain optimal efficiency.
By implementing performance optimization techniques, leveraging advanced design and technology, and prioritizing regular maintenance, it is possible to significantly improve the isentropic efficiency of compressors. These improvements not only reduce energy consumption but also contribute to cost savings and environmental sustainability.
The Role of Isentropic Efficiency in Renewable Energy Systems
A. Isentropic Efficiency in Turbine and Compressor Systems
In the realm of renewable energy systems, isentropic efficiency plays a crucial role in optimizing the performance of turbine and compressor systems. These systems are integral components of various renewable energy technologies such as wind turbines, hydroelectric power plants, and solar thermal power plants. Understanding the concept of isentropic efficiency is essential for maximizing energy conversion and minimizing energy losses in these systems.
Isentropic Efficiency in Compressor Systems
Compressor systems are responsible for increasing the pressure of a fluid, such as air or gas, in order to facilitate various processes in renewable energy systems. Isentropic efficiency in compressor systems refers to the ability of the compressor to achieve the highest possible pressure increase with the least amount of energy input.
When a compressor operates under ideal conditions, it undergoes an isentropic process, which is a thermodynamic process that occurs without any heat transfer or entropy change. In this ideal scenario, the compressor achieves maximum efficiency, known as the isentropic efficiency. However, in real-world scenarios, compressors experience various losses, such as mechanical friction, heat transfer, and fluid leakage, which reduce their efficiency.
Comparing Isentropic Efficiency in Different Compressor Types
Different types of compressors, such as centrifugal and axial compressors, exhibit varying levels of isentropic efficiency. Centrifugal compressors, for example, are known for their high isentropic efficiency, making them ideal for applications that require high-pressure ratios. On the other hand, axial compressors are more suitable for applications that require a large volume flow rate.
The isentropic efficiency of a compressor is typically influenced by factors such as the pressure ratio, the number of compressor stages, and the design and operation of the compressor. By carefully considering these factors, engineers can optimize the isentropic efficiency of compressor systems in renewable energy applications.
B. Multi objective Optimization in Renewable Energy Systems
In the pursuit of enhancing the efficiency and performance of renewable energy systems, multiobjective optimization techniques play a significant role. These techniques aim to simultaneously optimize multiple objectives, such as maximizing energy conversion efficiency, minimizing energy losses, and reducing environmental impact.
Balancing Efficiency and Environmental Impact
One of the primary objectives of multi objective optimization in renewable energy systems is to strike a balance between energy efficiency and environmental impact. While it is crucial to maximize the isentropic efficiency of compressor systems to achieve optimal energy conversion, it is equally important to minimize the environmental footprint associated with these systems.
By employing advanced computational algorithms and simulation tools, engineers can explore various design and operational parameters to identify the optimal configuration that achieves the desired balance between efficiency and environmental impact. This approach ensures that renewable energy systems not only perform optimally but also contribute to sustainable development.
Considering Exergy Analysis in Multi objective Optimization
Exergy analysis is another valuable tool in multi objective optimization for renewable energy systems. Exergy is a measure of the quality of energy and represents the maximum useful work that can be obtained from a system. By incorporating exergy analysis into the optimization process, engineers can identify areas of energy loss and inefficiency within compressor systems.
Through exergy analysis, engineers can pinpoint specific components or processes that contribute to energy losses and devise strategies to mitigate them. This approach enables the identification of opportunities for improving the isentropic efficiency of compressor systems, ultimately leading to enhanced overall system performance.
In conclusion, isentropic efficiency plays a vital role in optimizing the performance of turbine and compressor systems in renewable energy applications. By understanding and improving the isentropic efficiency of compressor systems, engineers can enhance energy conversion efficiency and minimize energy losses. Additionally, multi objective optimization techniques, coupled with exergy analysis, enable engineers to strike a balance between efficiency and environmental impact, ensuring the sustainable operation of renewable energy systems. Conclusion
In conclusion, the compressor isentropic efficiency is a crucial parameter that determines the performance of a compressor. It measures how effectively a compressor can convert the input power into useful work, without any losses. A higher isentropic efficiency indicates a more efficient compressor, as it can compress the gas with less energy consumption and minimal heat generation. On the other hand, a lower isentropic efficiency implies that the compressor is less efficient and may require more power to achieve the desired compression. It is important to consider the isentropic efficiency when selecting a compressor for various applications, as it directly impacts the energy consumption and overall performance. By understanding and optimizing the isentropic efficiency, engineers and designers can improve the efficiency and reliability of compressors, leading to cost savings and reduced environmental impact.
Frequently Asked Questions
1. What is the isentropic efficiency of a compressor?
Isentropic efficiency of a compressor is a measure of how much the actual performance of the compressor deviates from the ideal or isentropic process. It is calculated as the ratio of the isentropic work to the actual work done by the compressor.
2. How to calculate compressor isentropic efficiency?
The isentropic efficiency of a compressor can be calculated using the formula: η_isentropic = (h2s – h1) / (h2 – h1), where h2s is the isentropic enthalpy at the exit, h1 is the enthalpy at the inlet, and h2 is the actual enthalpy at the exit.
3. What is the difference between compressor polytropic efficiency and isentropic efficiency?
Polytropic efficiency is a measure of the work done during a polytropic process, which is a process that involves heat transfer. On the other hand, isentropic efficiency is a measure of the work done during an isentropic process, which is an idealized process that assumes no heat transfer.
4. What is the typical isentropic efficiency of a compressor?
The typical isentropic efficiency of a compressor varies depending on the type of compressor. For example, reciprocating compressors typically have isentropic efficiencies around 70-75%, while centrifugal compressors can have isentropic efficiencies as high as 85-90%.
5. How does the isentropic efficiency of a compressor affect its performance?
The isentropic efficiency of a compressor directly affects its performance. A higher isentropic efficiency means that the compressor requires less work to compress a given amount of gas, which makes it more energy efficient.
6. What factors can affect the isentropic efficiency of a compressor?
Several factors can affect the isentropic efficiency of a compressor, including the design of the compressor, the operating conditions, the type of gas being compressed, and the maintenance of the compressor.
7. How can the isentropic efficiency of a compressor be improved?
The isentropic efficiency of a compressor can be improved through various methods, such as optimizing the compressor design, maintaining the compressor properly, and operating the compressor at optimal conditions.
8. How does the isentropic efficiency of a compressor relate to the thermodynamic efficiency?
The isentropic efficiency of a compressor is a measure of how closely the compressor’s performance matches the ideal isentropic process. The thermodynamic efficiency, on the other hand, is a measure of how much of the input energy is converted into useful work. Therefore, a higher isentropic efficiency generally leads to a higher thermodynamic efficiency.
9. How does the isentropic efficiency of a compressor affect the refrigeration cycle?
The isentropic efficiency of the compressor affects the performance of the refrigeration cycle. A higher isentropic efficiency means that the compressor can compress the refrigerant with less work, which improves the efficiency of the refrigeration cycle.
10. What is the role of entropy in the isentropic efficiency of a compressor?
Entropy is a measure of the disorder or randomness in a system. In an isentropic process, the entropy remains constant. Therefore, if the compressor’s process is not isentropic and entropy increases, this indicates energy losses, which reduces the isentropic efficiency of the compressor.
The main purpose of using a nozzle is to accelerate the velocity of a flowing fluid using pressure. In this article we will discuss about Isentropic Efficiency of Nozzle.
Isentropic efficiency of nozzle is the ratio actual kinetic energy at nozzle exit and isentropic kinetic energy at nozzle exit for the same inlet and exit pressures.
A fluid accelerates in a nozzle as it is moving from high pressure to low pressure with an increase in kinetic energy. Frictional losses inside the nozzle decreases fluid KE and raise the temperature of the fluid, increasing its entropy.
Nozzles are operated under adiabatic condition but the ideal process for a nozzle is the isentropic process. To have a comparison between actual work done and work under isentropic conditions of a device, a parameter called Isentropic Efficiency is used.
The isentropic process involves no irreversibilities and serves as the ideal process for adiabatic devices.
Turbines, compressors and nozzles works under adiabatic conditions. Since they are not truly isentropic, they are considered as isentropic for calculation point of view. Isentropic efficiency is the parameter for a nozzle, turbine or compressor which defines how efficiently these devices approximate a corresponding isentropic device.
Nearer to an idealized isentropic process, improved will be the performance of the nozzle.
IsentropicEfficiency of nozzle is generally greater than 95%. So losses due to irreversibilities are very small in case of a well designed nozzle.
What is a Nozzle?
Nozzles are most widely used steady flow device in steam turbines, gas turbines and rockets.
Nozzle is a device often a pipe or a tube of varying cross sectional area used to control the direction of flow as well as exit velocity, mass, shape and pressure of the flow. Inside a nozzle pressure energy is converted into kinetic energy or we can say the fluid velocity increases with an expense of pressure energy.
Depending on required velocity and mach number of the fluid, Nozzles can be categorised like Convergent type, Divergent type and Convergent-Divergent type. Nozzle can be used for both subsonic and supersonic flows.
In the above figure, a de Laval nozzle, showing approximate flow velocity increasing from green to red in the direction of flow
Isentropic Efficiency of Nozzle Formula
Isentropic Efficiencyrepresents the performance index of a nozzle. A comparison of nozzle’s performance relative to an isentropic process.
Isentropic Efficiency of Nozzle can be defined as the ratio of actual enthalpy drop to isentropic enthalpy drop between the same pressures.
Isentropic Efficiency of Nozzle=Actual enthalpy drop/Isentropic enthalpy drop
Isentropic Efficiency formula is the measure of the deviation of actual processes from the corresponding idealized ones. The ratio of actual work done by a nozzle to work done by the nozzle under isentropic condition is called Isentropic Nozzle Efficiency.
Isentropic Efficiency of a nozzle ηN= Actual Kinetic Energy at Nozzle Exit/ Isentropic Kinetic Energy at Nozzle Exit.
Theoretically the process inside the nozzle is considered as isentropic but due to frictional losses the process is irreversible.
Enthalpy Entropy diagram for a flow inside a nozzle
Process 1-2:Isentropic Process
Process1- 2{}’:Actual Process
Efficiency of nozzle,
For Process 1-2, applying SFEE,
Or,
For Process 1- 2′, applying SFEE,
Or,
Now from Eq(1) substituting the values of h1 – h2 and h1 – h2` ,we get
A Nozzle reduces the pressure of the flow and at the same time speed up the flow to create a thrust.
Some amount of heat loss takes place from the steam due to the friction with the surface of the nozzle. Frictional effect also increases the dryness fraction of steam, because energy lost in friction is transferred into heat which tends to dry or super heat the steam.
In case of fluid dynamics, stagnation point denotes a point where local velocity of a fluid remains zero and isentropic stagnation state represents a state when a flow of fluid goes through reversible adiabatic deceleration to zero velocity.
Both actual and isentropic states are used for gases.
Enthalpy Entropy Diagram for Stagnation State; Image credit: wikipedia
The actual stagnation state is obtained for actual deceleration to zero velocity, irreversibility may be also associated. For this reason stagnation property is sometimes reversed for actual state properties, and the term total property is applied for isentropic stagnation states.
Both isentropic and actual stagnation states have same enthalpy, same temperature(for ideal gas) but may be pressure is more in case of isentropic stagnation state in comparison to actual stagnation state.
In case of a nozzle the inlet velocity is negligible in comparison to exit velocity of a flow.
From the energy balance,
Isentropic Efficiency of Nozzle=Actual enthalpy drop/Isentropic enthalpy drop
Where h1 =specific enthalpy of the gas at the entrance
h2a =specific enthalpy of gas at the exit for the actual process
h2s = specific enthalpy of gas at the exit for the isentropic process
Isentropic Efficiency Nozzle Example
Example: Steam enters a nozzle at 1.4 MPa 2500 C and negligible velocity and expands to 115 KPa and a quality of 97% dry. Determine the exit velocity of the steam.
Solution: Given data , Initial Pressure, P1=1.4MPa
=14 bar
Initial Temperature, T1=2500 C
Final Pressure,P2=115 KPa= 1.15 x 105 Pa=1.15 bar
Quality of steam at exit, x2=0.97
Exit Velocity, V2=?
Neglecting initial velocity, Exit Velocity,
Considering initial velocity,
h1=Enthalpy at initial condition i.e. at 1.14 MPa i.e at 14 bar 2500C, from steam tables,
h1=2927.6 KJ/Kg
h2=Enthalpy at exit condition i.e. at 115 KPa i.e at 1.15 bar x2=0.97, from steam tables
Radioactive isotopes eventually decay, or disintegrate, to harmless materials. Some isotopes decay in hours or even minutes, but others decay very slowly.
Radioactive isotopes are unstable isotopes of chemical elements which have different atomic mass than defined by the periodic table.
Strontium-90 and cesium-137 have half-lives of about 30 years (half the radioactivity will decay in 30 years). Plutonium-239 has a half-life of 24,000 years.
The unstable radioactive isotopes decay emitting alpha, beta or gamma rays to form the stable nuclei or sometimes another unstable nuclei or radionuclei as it is commonly called. The decay times of a radionuclei vary widely and it is designated by its half-life.
Around 2400 radionuclei have half-lives less than 60 minutes, most of which are produced artificially. A few of the radionuclei have very high half-lives ranging above 100 million years such as Uranium and thorium. They can occur both naturally as well as synthesized artificially.
Examples of radioactive isotopes and their usage can found in almost all fields of modern science, whether it is medicine, biology, food preservation, mining, industrial applications, astronomy, particle physics etc.
Tritium
The lightest radioactive isotope is of hydrogen, which has a mass number of 3 and called Tritium. It has 2 neutrons in its nucleus and one proton. Tritium is naturally occurring isotope, which means it forms naturally by means of cosmic rays which fall on the nitrogen molecule breaking it to form tritium. Tritium is also formed in nuclear reactors carrying out fission reaction as by products or through various nuclear weapon explosions. It has a half life of around 12.3 years. It is also available in nature in very small amount. Reacting with oxygen it converts into water form and being a part of the food chain.
Carbon-14
Carbon-14 is the radioactive isotope of carbon having 6 protons and 8 neutrons. By far the most common use of carbon-14 is in archaeological dating. The time of death of an organism can be estimated easily by determining the quantity of carbon-14 available in a dead organism. The interaction of cosmic ray and nitrogen atoms results the formation of carbon-14 naturally in the atmosphere.
Carbon dioxide formed from carbon-14 is absorbed by plants and passed on to the food chain. The carbon-14 in an organism is continuously being replenished till the organism is alive and its quantity starts to reduce by emission of beta rays. It has a half life of around 5700 years.
Cobalt 60 is an isotope of cobalt. It doesn’t form naturally can be produced artificially by bombarding a cobalt-59 source by slow neutron source and by nuclear reactor operations. Cobalt-60 decays by emitting gamma rays, with a relatively high intensity. Cobalt-60 when ingested is partly excreted in faeces but some amount of it is also absorbed by kidney and liver which leads to development of cancer cells.
External exposure to high level of gamma radiation emitted by cobalt-60 also causes skin burns, acute radiation sickness and death. It has a half life of 5.3 years.
Iodine-129
Iodine-129 occurs naturally in small quantity but it has gained notoriety because of its formation during nuclear weapon testing and by product of nuclear fission reactors along with its very long half life extending to millions of years.
The long half life of iodine-129 makes it suitable for dating of meteorites and ground water. Iodine is normally absorbed by the thyroid gland and is used to produce hormones. Radioactive iodine is ingested by human, it would be absorbed by thyroid glna d leading to thyroid cancer.
Iodine-131
Like Iodine -129, Iodine-131 too is produced as by product of nuclear fission and nuclear weapon testing. Commercially it is produced from neutron irradiation of naturally occurring tellurium. It has a half life of around 8 days and hence considered less dangerous than iodine-129. Exposure to Iodine-131 has same impacts as that of Iodine-129.
Thorium-232
Thorium-232 is an isotope of thorium element and it has the longest half life among the radionuclei of more than 14 billion years and hence it occurs naturally. It undergoes alpha decay to form radium- 228. Among the isotopes of thorium, thorium-232 is the most abundant.
Thorium-232 can be converted to Th-233 by capturing a neutron which is unstable. Thorium-233 produces fissile isotope uranium-33 by undergoing two consecutive beta decays.
Uranium-235
Uranium-235 exits naturally and hence it is called primordial radioactive isotope. The abundance of U-235 in the predominant isotope U-238 is around 0.7%. Uranium-235 is fissile, i.e. it can sustain a nuclear chain reaction and hence it is the predominant fuel in nuclear reactors around the world. It has a half life of around 700 million years.
Plutonium-239
Plutonium is one on the three fissile radioactive isotopes which can be used for both nuclear weapons as well as in nuclear reactors. The other two being uranium-235 and uranium-233.
Among the fissile radioactive isotopes, plutonium-239 has smallest critical mass:- which can be explained as the minimum amount of fissile material to sustain nuclear fission reaction. Plutonium-239 can be synthesized in nuclear reactor from uranium-239 and it has a half life of more than 24000 yea
Xenon-135
Xenon-135 isotope is formed in the nuclear reactors in the fission reaction of Uranium-235. It is an unstable isotope having a half life of 9.2 hours. In the U-235 nuclear reactors, it acts a reaction poison by virtue of its neutron absorbing capability.
In fact, Xenon-135 is strongest known neutron absorber and the uranium fission reaction yields around 6% Xenon-135, which temporarily slows down and inhibits the nuclear reaction as it starts building up the core.
The phenomenon of decrease in reactivity Uranium reactor due to build-up of Xenon-135 is called iodine pit. The name iodine is derived from the fact that, in the uranium decay chain, Xenon-135 is formed by beta decay of Iodine-135.
Radon-22 is the isotope of radon gas. It is formed in the decay chain of uranium-238, the most abundant of uranium isotopes. Radon-222 thus occurs naturally. The immediate precursor to Radon-22 in U-238 decay chain in radium-226. It has a half-life of 3.2 days.
Owing to its natural origin and occurrence and being gaseous in nature, the risk of radiation exposure to general public is high for radon-222. It can form in the soil and rock beneath from decay of uranium-238 and permeate through openings and cervices to the buildings above. Long term radiation exposure to Radon-222 causes lung cancer.
Radioactive Isotopes Uses
Radioactive isotopes find use in various fields primarily being Energy, archaeology and medical sciences.
Over the years, radioactivity and radioactive isotopes found use in various fields.The various uses of radioactive substances can be broadly classified as follows:
Nuclear Energy and Weapons
Radiocarbon and Surface Exposure Dating
Medical Use and research
Industrial Use
Radioactivity as a phenomenon was discovered towards the end of 19th of century; however it attained worldwide attention upon its use in manufacture and use of nuclear weapons during World War II.
Nuclear Energy and Weapons
Radioactive isotopes can produce nuclear energy by means of nuclear fission reaction and those radioisotopes which can sustain a nuclear fission chain reaction are called fissile.
The commonly used radioisotopes for this purpose are Uranium-233, Uranium-235 and Plutonium-239. The energy produced by nuclear fission can be utilised to produce electricity in a nuclear power plant, power naval submarines or manufacture nuclear war heads to be used in missiles.
Radiocarbon dating and exposure dating both dating technologies are utilised to determine the age of an object.This is because, when an organism is alive, its carbon-14 component is in equilibrium with that present in the environment as the organism continuously exchanges carbon though food in case of animals and through photosynthesis in case of plants.
As the organism dies, carbon -14 starts radioactive decay with a half life of around 5700 years. So by measuring the amount of carbon-14 left in a dead tree trunk or a piece of bone, the period when the organism was living can be determined.
Surface exposure dating is utilised to determine the exposure of a rock or a surface to the atmosphere or how long it has been kept buried.
A number of radioactive isotopes such as Beryllium-10, Aluminium-26, Iodine-129, calcium-41 etc are formed by interaction of cosmic rays with its parent isotope. So by measuring the amount of these radioisotopes in rock or water samples, its age can be determined.
Medical Use and research
Radioactive isotopes finds numerable use in medical and biomedical research fields from medical treatment in form of nuclear medicine, diagnosis to study of cellular function and bone formation in animals.
In medical field, Iodine-123 and Iodine -131are utilised for treatment thyroid disorders, while Iodine-125 and Iodine-129 are used for diagnosis of thyroid disorders. Radioisotopes Cesium-137, Cobalt-60 and Copper-67 are used for treatment of cancer.
Lead container for iodine-123 capsule; Image credit: wikipedia
Radioisotopes Phosphorus-32 and Phophorus-33 are utilised in molecular biology and genetics research. Others such as Selenium-75 and Strontium-85 are utilised in various studies of life sciences like bone formation, metabolism etc.
Industrial Use
Radioactive isotopes find wide range of industrial use.
Iridium-192 is used to check the weld integrity of pipelines, vessels, aircraft parts etc. Amricum-241 is used in the smoke detectors. Californium-252 is used to check for hidden explosives in luggage at airport.
Radioactive Isotopes Types
Radioactive isotopes can be broadly classified into two types: – naturally occurring and synthetic
Naturally occurring radioactive isotopes are those, which occur naturally and whose traces can be found on the environment and they were not created due to any human activity.Synthetic radioisotopesare those that are formed either as a by product of nuclear fission reaction or synthesized deliberately in nuclear reactors and particle accelerators.
Naturally occurring radioactive isotopes can be further classified to: Primordial, Secondary and Cosmogonic isotopes.
Primordial radioactive isotopes are those that were formed with the formation of universe and their half lives are so large that complete decay to daughter isotopes has not been completed. Hence, they can be found in nature, like the isotopes of Uranium and thorium.
Secondary radioactive isotopes are those, which are formed by radioactive decay of primordial radioactive isotopes. These are intermediate radioactive isotopes in the decay chain of primordial isotopes, e.g. polonium and radium.
Cosmogonic isotopes are those which are formed by the impact of cosmic rays on a stable element. For example radioisotope carbon-14 is formed by impact of cosmic rays on nitrogen.
Synthetic radioisotopes are also produced due to nuclear explosions that were carried out in the past.
Some of the examples of synthesized radioactive isotopes are plutonium-238, plutonium -239, Americium-241, Gadolinium-153 etc.
Radioactive Isotopes Properties
The chemical properties of a radioactive isotope are similar to that of the non-radioactive stable isotope of the same element; however it is unstable because of excess nuclear energy.
The nucleus of a radioactive isotope has an extra neutron and hence has higher atomic mass but having the same number of electrons as that of the stable isotope. Since chemical reaction depends upon the electrons, chemical properties are same for all isotopes of an element.
The excess energy of a radioisotope is released by means of alpha, beta or gamma radiation decay. The radiation decay of a radioisotope results in formation of isotope of another element or same element, which can either be a stable or an unstable isotope. If the resultant isotope is unstable, further decay takes place until it becomes a stable element. The simultaneous decay of an unstable radioactive isotope is also called its decay chain.
All radioactive isotopes are defined by their half-life or amount of time it requires to decay to 50% of its original mass. The half-life of radioisotopes are specific to a isotope and this property is utilised for various scientific studies raging from age dating of dead organic material to exposure dating of rocks, groundwater etc.
Some radioisotopes have a half life of few seconds to minutes, while other have half life as large as age of universe
“How to calculate pressure difference?”, in this article we will try to find the answer for this question. Also we will discuss about different pressure difference measuring devices.
Pressure difference also known as pressure gradient or differential pressure is the difference between two measured pressure values or it is the comparison of two arbitrary pressures.
Pressure difference is calculated in different industries in day to day basis for flow and filtration of various fluids through pipelines.
Pressure difference or differential pressure ΔP is the difference between any two applied pressures, generally all pressure readings can be assumed as differential reading as, in case of absolute pressure, in relation to vacuum pressure and gauge pressure in relation to atmospheric pressure.
In simple word, pressure is the force exerted over a given area.
Pressure is defined as the force per unit area.
Pressure=Force/Area
Where Force(F) is in Newton
And Area(A) is in meter2
Therefore Pressure,p=F/A Newton/metre2 or Pascal.
Pressure increases as we move down from the liquid surface, the pressure is always greater for denser medium. Manometer and Barometer are the measuring instruments used to measure pressure.
Pressure as exerted by particle collisions inside a closed container; Image Credit:wikipedia
Pressure Difference is calculated in regular intervals or continuously in different industries like chemical plants, refineries, petrochemical plants etc.
Pressure Difference is the difference between pressures when they are measured in different points. Pressure Difference calculations are done regularly in various industries for flow and level measurement of fluids, filter monitoring and clog detection. Pressure difference is measures in Pound per Square Inch(PSI).
This simple concept of pressure difference acts as a vital concept in process industries because it is responsible for the flow of a fluid from one point to another. Pressurization of airplane cabins is one of the most appreciated application of Pressure Difference.
Pressure device for industry system; Image Credit:unsplash
Pressure Difference is continuously monitored in industries to know whether there is any clog or contaminates through a pipeline.
If a part of a pipeline gets clogged, there is a change in pressure which makes a change in Pressure Difference, an operator can easily detect the exact blockage point and clean the pipeline to ensure the smooth flow of the fluid.
For a maximum value of pressure difference, we may have to change the filter otherwise it may lead to damage or corrosion.
To determine the respiratory flow in medical devices, air flow blockages in different devices, clogged filter detection in extractor fans, air conditioner, exhaust ducts are the examples of applications where Pressure difference monitoring plays an important role.
Hydrostatic Pressure Difference
Hydrostatic Pressure Difference is specific measurement of liquid pressure above a vertical datum at different points or at different heights from the datum line.
The pressure of a liquid at rest at a certain depth due to gravitational force is known as Hydrostatic Pressure and hydrostatic pressure increases as the depth measured from the surface increases because of the increasing weight of the fluid exerts more downward force on the lower liquid layers.
Hydrostatic Pressure at different depths; Image Credit: wikipedia
The formula used to calculate hydrostatic pressure is shown below:
p=ρgh
Where,
P is the pressure exerted by the liquid in Nm-2
ρ is the density of the liquid in kgm-3
g is the acceleration due to gravity considered as 9.81 ms-2
h is the height of the fluid column in ‘m’
A swimmer experiences more pressure as he goes deeper underwater because of the more and more weight on the top as well as the air above him.
How to Calculate Pressure Difference?
.Differential Pressure Gauges and Differential U-tube Manometer are used to calculate the pressure difference between two points of same liquid or different liquids.
Differential pressure gauges consists of two inlet ports, each port is connected to one of the pipes or sources whose pressure is to be monitored.
U tube manometer is a device used to measure the pressure difference between two points which may be in the same pipe or in two different pipes. As the name suggest it looks like the alphabet U, the bottom portion of the glass tube is filled with heavy liquid like mercury, water and air are also used as per requirement.
A pressure gauge in action ; Image Credit:wikipedia
Differential Pressure gauge performs the mathematical operation of subtraction through mechanical means, If there is a pressure difference in both the pipes or sources, the pressure exerted on one measuring element is more than the pressure exerted on another chamber element,then the Differential Pressure gauge shows deflection.
How to Calculate Pressure Difference in Manometer?
Pressure Difference between two pipes or sources is calculated by using Differential U-type Manometer.
A Differential manometer is a device used to compare the pressures in two different pipes or containers from the vertical distance from the surface of a liquid in two limbs when each of the limbs are connected to two different sources.
To determine the difference in pressure, multiply the difference in height by the density of the fluid and the acceleration due to gravity. The final units should be in pascals.
How to Calculate flow rate from pressure difference?
Bernoulli’s Equation gives a relationship between the Pressure Difference and the Flow of a fluid, using this relation we can easily calculate the amount of fluid flowing within a time interval.
The Bernoulli’s Principle applicable for incompressible fluids(with negligible viscosity) states that an increase in a speed of a fluid moving in a streamline occurs with a decrease in static pressure of the fluid. In simple words, static pressure+ dynamic pressure=total pressure which is constant.
Flow of fluid through a venturimeter; Image Credit:wikipedia
Flow of fluid through a venturimeter; Image Credit:wikipedia
Bernoulli’s Principle can be expressed in terms of a mathematical formula as below:
Where v=fluid speed
g = acceleration due to gravity considered as 9.81 m.s-2
y=height above datum line
p=pressure of the fluid
ρ = density of the fluid
Now considering any two points in the liquid,
Now g is same at both the points,
Since the fluid is considered as incompressible,
From Continuity Equation, v1A1 = v2A2
From Eq(2),
From Eq(3) we can calculate flow rate(Q=Area x average velocity) through the duct using pressure difference p1 – p2
Measurement of amount offluid flows within a time interval is quite important in a process industry for the smooth and safe running of different operations.
Hagen Poiseuille equation gives the relationship between pressure drop and flow rate of a fluid through a long cylindrical pipe. The equation is applied for laminar flow of incompressible liquid flowing through a pipe of constant cross sectional area.
Where Δp is the pressure difference between the two ends of the pipe
How to Calculate Pressure Difference in Venturi meter?
A venturimeter is a type of flow meter where volumetric flow rate of a fluid is determined on the basis of Bernoulli’s theorem.
When a fluid passes through a venturimeter, it accelerates in the convergent part and then decelerates in the divergent part. The pressure of fluid is different throughout the venturimeter and the Pressure Difference is obtained from the Manometer reading. Using this estimated pressure difference and applying Bernoulli’s equation and Continuity equation, volumetric flow rate is calculated.