Isentropic Efficiency of Compression Machine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input
ηC = Ws,in/Win
This formula uses 3 Variables
Variables Used
Isentropic Efficiency of Compressor - Isentropic Efficiency of compressor is the ratio of isentropic work of compressor to actual work of compressor.
Isentropic Work Input - (Measured in Joule) - Isentropic Work Input is the work transfer to the system are frictionless, and there is no transfer of heat or matter.
Actual Work Input - (Measured in Joule) - Actual Work Input is the work transfer which include some energy losses.
STEP 1: Convert Input(s) to Base Unit
Isentropic Work Input: 230 Kilojoule --> 230000 Joule (Check conversion here)
Actual Work Input: 248 Kilojoule --> 248000 Joule (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηC = Ws,in/Win --> 230000/248000
Evaluating ... ...
ηC = 0.92741935483871
STEP 3: Convert Result to Output's Unit
0.92741935483871 --> No Conversion Required
FINAL ANSWER
0.92741935483871 0.927419 <-- Isentropic Efficiency of Compressor
(Calculation completed in 00.004 seconds)

Credits

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Institute of Aeronautical Engineering (IARE), Hyderabad
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14 Compressor Calculators

Efficiency of compressor in actual gas turbine cycle
Go Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet)
Minimum Temperature Ratio
Go Temperature Ratio = (Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio))/(Isentropic Efficiency of Compressor*Efficiency of Turbine)
Efficiency of Compressor given Enthalpy
Go Isentropic Efficiency of Compressor = (Ideal Enthalpy after Compression-Enthalpy at Compressor Inlet)/(Actual Enthalpy after Compression-Enthalpy at Compressor Inlet)
Work Required to Drive Compressor Including Mechanical Losses
Go Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Shaft Work in Compressible Flow Machines
Go Shaft Work = (Enthalpy at Compressor Inlet+Compressor Inlet Velocity^2/2)-(Enthalpy at Exit of Compressor+Compressor Exit Velocity^2/2)
Tip Velocity of Impeller given Hub Diameter
Go Tip Velocity = pi*RPM/60*sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Compressor Work in Gas Turbine given Temperature
Go Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Tip Velocity of Impeller given Mean Diameter
Go Tip Velocity = pi*(2*Mean Diameter of Impeller^2-Impeller Hub Diameter^2)^0.5*RPM/60
Mean Diameter of Impeller
Go Mean Diameter of Impeller = sqrt((Impeller Tip Diameter^2+Impeller Hub Diameter^2)/2)
Impeller Outlet Diameter
Go Impeller Tip Diameter = (60*Tip Velocity)/(pi*RPM)
Degree of Reaction for Compressor
Go Degree of Reaction = (Enthalpy Increase in Rotor)/(Enthalpy Increase in Stage)
Isentropic Efficiency of Compression Machine
Go Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input
Compressor work
Go Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet
Shaft Work in Compressible Flow Machines neglecting Inlet and Exit Velocities
Go Shaft Work = Enthalpy at Compressor Inlet-Enthalpy at Exit of Compressor

Isentropic Efficiency of Compression Machine Formula

Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input
ηC = Ws,in/Win

What is isentropic efficiency?

Isentropic efficiency is a parameter to measure the degree of degradation of energy, It involves a comparison between the actual performance of a device and the performance that would be achieved under idealized circumstances for the same inlet and exit conditions.

How to Calculate Isentropic Efficiency of Compression Machine?

Isentropic Efficiency of Compression Machine calculator uses Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input to calculate the Isentropic Efficiency of Compressor, The Isentropic efficiency of compression machine formula is defined as the ratio of isentropic work input to actual work input. Isentropic Efficiency of Compressor is denoted by ηC symbol.

How to calculate Isentropic Efficiency of Compression Machine using this online calculator? To use this online calculator for Isentropic Efficiency of Compression Machine, enter Isentropic Work Input (Ws,in) & Actual Work Input (Win) and hit the calculate button. Here is how the Isentropic Efficiency of Compression Machine calculation can be explained with given input values -> 0.5 = isentropic_work_input/248000.

FAQ

What is Isentropic Efficiency of Compression Machine?
The Isentropic efficiency of compression machine formula is defined as the ratio of isentropic work input to actual work input and is represented as ηC = Ws,in/Win or Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input. Isentropic Work Input is the work transfer to the system are frictionless, and there is no transfer of heat or matter & Actual Work Input is the work transfer which include some energy losses.
How to calculate Isentropic Efficiency of Compression Machine?
The Isentropic efficiency of compression machine formula is defined as the ratio of isentropic work input to actual work input is calculated using Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input. To calculate Isentropic Efficiency of Compression Machine, you need Isentropic Work Input (Ws,in) & Actual Work Input (Win). With our tool, you need to enter the respective value for Isentropic Work Input & Actual Work Input 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 Isentropic Efficiency of Compressor?
In this formula, Isentropic Efficiency of Compressor uses Isentropic Work Input & Actual Work Input. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet)
  • Isentropic Efficiency of Compressor = (Ideal Enthalpy after Compression-Enthalpy at Compressor Inlet)/(Actual Enthalpy after Compression-Enthalpy at Compressor Inlet)
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