Efficiency of compressor in actual gas turbine cycle Calculator

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Components of Gas Turbine

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Thermodynamics and Governing Equations

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✖Temperature at Compressor Exit is the temperature of the gases exiting the compressor.ⓘ Temperature at Compressor Exit [T₂]			+10% -10%
✖Temperature at Compressor Inlet is the temperature of the gases entering the compressor.ⓘ Temperature at Compressor Inlet [T₁]			+10% -10%
✖Actual Temperature at Compressor Exit is the temperature of the gases exiting the compressor considering the losses throughout the compression process.ⓘ Actual Temperature at Compressor Exit [T_2,actual]			+10% -10%

✖Isentropic Efficiency of compressor is the ratio of isentropic work of compressor to actual work of compressor.ⓘ Efficiency of compressor in actual gas turbine cycle [η_C]

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Formula

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Efficiency of compressor in actual gas turbine cycle

Formula

`"η"_{"C"} = ("T"_{"2"}-"T"_{"1"})/("T"_{"2,actual"}-"T"_{"1"})`

Example

`"0.924156"=("420K"-"298.15K")/("430K"-"298.15K")`

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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)
η_C = (T₂-T₁)/(T_2,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

η_C = (T₂-T₁)/(T_2,actual-T₁) --> (420-298.15)/(430-298.15)

Evaluating ... ...

η_C = 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 00.004 seconds)

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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

Efficiency of compressor in actual gas turbine cycle Formula

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 formula is defined as the ratio of difference between exit, inlet temperatures at end of isentropic compression to the difference between exit, inlet temperatures at end of actual compression. Isentropic Efficiency of Compressor is denoted by η_C 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 (T_2,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 formula is defined as the ratio of difference between exit, inlet temperatures at end of isentropic compression to the difference between exit, inlet temperatures at end of actual compression and is represented as η_C = (T₂-T₁)/(T_2,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 formula is defined as the ratio of difference between exit, inlet temperatures at end of isentropic compression to the difference between exit, inlet temperatures at end of actual compression 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 (T_2,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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