Efficiency of compressor in actual gas turbine cycle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet)
ηC = (T2-T1)/(T2,actual-T1)
This formula uses 4 Variables
Variables Used
Isentropic Efficiency of Compressor - Isentropic Efficiency of Compressor is the ratio of isentropic work of compressor to actual work of compressor.
Temperature at Compressor Exit - (Measured in Kelvin) - Temperature at Compressor Exit is the temperature of the gases exiting the compressor.
Temperature at Compressor Inlet - (Measured in Kelvin) - Temperature at Compressor Inlet is the temperature of the gases entering the compressor.
Actual Temperature at Compressor Exit - (Measured in Kelvin) - Actual Temperature at Compressor Exit is the temperature of the gases exiting the compressor considering the losses throughout the compression process.
STEP 1: Convert Input(s) to Base Unit
Temperature at Compressor Exit: 420 Kelvin --> 420 Kelvin No Conversion Required
Temperature at Compressor Inlet: 298.15 Kelvin --> 298.15 Kelvin No Conversion Required
Actual Temperature at Compressor Exit: 430 Kelvin --> 430 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηC = (T2-T1)/(T2,actual-T1) --> (420-298.15)/(430-298.15)
Evaluating ... ...
ηC = 0.924156238149412
STEP 3: Convert Result to Output's Unit
0.924156238149412 --> No Conversion Required
FINAL ANSWER
0.924156238149412 0.924156 <-- Isentropic Efficiency of Compressor
(Calculation completed in 00.020 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Efficiency of compressor in actual gas turbine cycle Formula

​LaTeX ​Go
Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet)
ηC = (T2-T1)/(T2,actual-T1)

What is efficiency of compressor?

Efficiency of compressor is the ratio of output obtained from compressor to input given to compressor.

How to Calculate Efficiency of compressor in actual gas turbine cycle?

Efficiency of compressor in actual gas turbine cycle calculator uses Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet) to calculate the Isentropic Efficiency of Compressor, The Efficiency of Compressor in Actual Gas Turbine Cycle measures how effectively the compressor increases the temperature of the air compared to the theoretical maximum. This formula calculates the isentropic efficiency by comparing the temperature rise in the compressor under actual conditions to the temperature rise in an ideal, isentropic process. Isentropic Efficiency of Compressor is denoted by ηC symbol.

How to calculate Efficiency of compressor in actual gas turbine cycle using this online calculator? To use this online calculator for Efficiency of compressor in actual gas turbine cycle, enter Temperature at Compressor Exit (T2), Temperature at Compressor Inlet (T1) & Actual Temperature at Compressor Exit (T2,actual) and hit the calculate button. Here is how the Efficiency of compressor in actual gas turbine cycle calculation can be explained with given input values -> 0.924156 = (420-298.15)/(430-298.15).

FAQ

What is Efficiency of compressor in actual gas turbine cycle?
The Efficiency of Compressor in Actual Gas Turbine Cycle measures how effectively the compressor increases the temperature of the air compared to the theoretical maximum. This formula calculates the isentropic efficiency by comparing the temperature rise in the compressor under actual conditions to the temperature rise in an ideal, isentropic process and is represented as ηC = (T2-T1)/(T2,actual-T1) or Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet). Temperature at Compressor Exit is the temperature of the gases exiting the compressor, Temperature at Compressor Inlet is the temperature of the gases entering the compressor & Actual Temperature at Compressor Exit is the temperature of the gases exiting the compressor considering the losses throughout the compression process.
How to calculate Efficiency of compressor in actual gas turbine cycle?
The Efficiency of Compressor in Actual Gas Turbine Cycle measures how effectively the compressor increases the temperature of the air compared to the theoretical maximum. This formula calculates the isentropic efficiency by comparing the temperature rise in the compressor under actual conditions to the temperature rise in an ideal, isentropic process is calculated using Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet). To calculate Efficiency of compressor in actual gas turbine cycle, you need Temperature at Compressor Exit (T2), Temperature at Compressor Inlet (T1) & Actual Temperature at Compressor Exit (T2,actual). With our tool, you need to enter the respective value for Temperature at Compressor Exit, Temperature at Compressor Inlet & Actual Temperature at Compressor Exit 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 Temperature at Compressor Exit, Temperature at Compressor Inlet & Actual Temperature at Compressor Exit. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input
  • Isentropic Efficiency of Compressor = (Ideal Enthalpy after Compression-Enthalpy at Compressor Inlet)/(Actual Enthalpy after Compression-Enthalpy at Compressor Inlet)
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