C.O.P. of simple air cycle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Actual Coefficient of Performance = (Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion)/(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air)
COPactual = (T6-T5')/(Tt'-T2')
This formula uses 5 Variables
Variables Used
Actual Coefficient of Performance - Actual Coefficient of Performance is a measure of the effectiveness of an air refrigeration system in transferring heat from one location to another.
Inside Temperature of Cabin - (Measured in Kelvin) - Inside temperature of cabin is the temperature of the air inside the cabin of an air refrigeration system, which affects the overall cooling performance.
Actual Temperature at end of Isentropic Expansion - (Measured in Kelvin) - Actual temperature at end of isentropic expansion is the final temperature of air at the end of an isentropic expansion process in air refrigeration systems.
Actual End Temp of Isentropic Compression - (Measured in Kelvin) - Actual End Temp of Isentropic Compression is the final temperature of air at the end of an isentropic compression process in air refrigeration systems.
Actual Temperature of Rammed Air - (Measured in Kelvin) - Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system.
STEP 1: Convert Input(s) to Base Unit
Inside Temperature of Cabin: 281 Kelvin --> 281 Kelvin No Conversion Required
Actual Temperature at end of Isentropic Expansion: 265 Kelvin --> 265 Kelvin No Conversion Required
Actual End Temp of Isentropic Compression: 350 Kelvin --> 350 Kelvin No Conversion Required
Actual Temperature of Rammed Air: 273 Kelvin --> 273 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
COPactual = (T6-T5')/(Tt'-T2') --> (281-265)/(350-273)
Evaluating ... ...
COPactual = 0.207792207792208
STEP 3: Convert Result to Output's Unit
0.207792207792208 --> No Conversion Required
FINAL ANSWER
0.207792207792208 0.207792 <-- Actual Coefficient of Performance
(Calculation completed in 00.004 seconds)

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Air Refrigeration Calculators

Compression or Expansion Ratio
​ LaTeX ​ Go Compression or Expansion Ratio = Pressure at End of Isentropic Compression/Pressure at Start of Isentropic Compression
Relative Coefficient of Performance
​ LaTeX ​ Go Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance
Energy Performance Ratio of Heat Pump
​ LaTeX ​ Go Theoretical Coefficient of Performance = Heat Delivered to Hot Body/Work Done per min
Theoretical Coefficient of Performance of Refrigerator
​ LaTeX ​ Go Theoretical Coefficient of Performance = Heat Extracted from Refrigerator/Work Done

C.O.P. of simple air cycle Formula

​LaTeX ​Go
Actual Coefficient of Performance = (Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion)/(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air)
COPactual = (T6-T5')/(Tt'-T2')

What is Coefficient of Performance?

The Coefficient of Performance (COP) measures the efficiency of a refrigeration system. It is the ratio of the cooling effect produced to the work input required. A higher COP indicates a more efficient system, meaning it provides more cooling for the same or less energy input. COP is a key factor in evaluating the performance of air refrigeration systems.






How to Calculate C.O.P. of simple air cycle?

C.O.P. of simple air cycle calculator uses Actual Coefficient of Performance = (Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion)/(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air) to calculate the Actual Coefficient of Performance, C.O.P. of simple air cycle formula is defined as the coefficient of performance of a simple air refrigeration cycle, which represents the ratio of the desired output to the required input, and is a measure of the efficiency of the refrigeration system. Actual Coefficient of Performance is denoted by COPactual symbol.

How to calculate C.O.P. of simple air cycle using this online calculator? To use this online calculator for C.O.P. of simple air cycle, enter Inside Temperature of Cabin (T6), Actual Temperature at end of Isentropic Expansion (T5'), Actual End Temp of Isentropic Compression (Tt') & Actual Temperature of Rammed Air (T2') and hit the calculate button. Here is how the C.O.P. of simple air cycle calculation can be explained with given input values -> 5.333333 = (281-265)/(350-273).

FAQ

What is C.O.P. of simple air cycle?
C.O.P. of simple air cycle formula is defined as the coefficient of performance of a simple air refrigeration cycle, which represents the ratio of the desired output to the required input, and is a measure of the efficiency of the refrigeration system and is represented as COPactual = (T6-T5')/(Tt'-T2') or Actual Coefficient of Performance = (Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion)/(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air). Inside temperature of cabin is the temperature of the air inside the cabin of an air refrigeration system, which affects the overall cooling performance, Actual temperature at end of isentropic expansion is the final temperature of air at the end of an isentropic expansion process in air refrigeration systems, Actual End Temp of Isentropic Compression is the final temperature of air at the end of an isentropic compression process in air refrigeration systems & Actual temperature of Rammed Air is the temperature of air after it has been compressed and cooled in an air refrigeration system.
How to calculate C.O.P. of simple air cycle?
C.O.P. of simple air cycle formula is defined as the coefficient of performance of a simple air refrigeration cycle, which represents the ratio of the desired output to the required input, and is a measure of the efficiency of the refrigeration system is calculated using Actual Coefficient of Performance = (Inside Temperature of Cabin-Actual Temperature at end of Isentropic Expansion)/(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air). To calculate C.O.P. of simple air cycle, you need Inside Temperature of Cabin (T6), Actual Temperature at end of Isentropic Expansion (T5'), Actual End Temp of Isentropic Compression (Tt') & Actual Temperature of Rammed Air (T2'). With our tool, you need to enter the respective value for Inside Temperature of Cabin, Actual Temperature at end of Isentropic Expansion, Actual End Temp of Isentropic Compression & Actual Temperature of Rammed Air and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Actual Coefficient of Performance?
In this formula, Actual Coefficient of Performance uses Inside Temperature of Cabin, Actual Temperature at end of Isentropic Expansion, Actual End Temp of Isentropic Compression & Actual Temperature of Rammed Air. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Input Power*60)
  • Actual Coefficient of Performance = (210*Tonnage of Refrigeration in TR)/(Mass of Air*Specific Heat Capacity at Constant Pressure*(Actual End Temp of Isentropic Compression-Actual Temperature of Rammed Air))
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