Compressor work Calculator

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Components of Gas Turbine

Jet Propulsion

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Thermodynamics and Governing Equations

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✖Enthalpy at Exit of Compressor is the heat energy of the flow after compression.ⓘ Enthalpy at Exit of Compressor [h₂]			+10% -10%
✖Enthalpy at Compressor Inlet is the heat energy of flow at the entry of compressor.ⓘ Enthalpy at Compressor Inlet [h₁]			+10% -10%

✖Compressor Work is the work done by the compressor.ⓘ Compressor work [W_c]

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Formula

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Compressor work

Formula

`"W"_{"c"} = "h"_{"2"}-"h"_{"1"}`

Example

`"160.9KJ"="548.5KJ"-"387.6KJ"`

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Compressor work Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet
W_c = h₂-h₁
This formula uses 3 Variables

Variables Used

Compressor Work - (Measured in Joule) - Compressor Work is the work done by the compressor.
Enthalpy at Exit of Compressor - (Measured in Joule) - Enthalpy at Exit of Compressor is the heat energy of the flow after compression.
Enthalpy at Compressor Inlet - (Measured in Joule) - Enthalpy at Compressor Inlet is the heat energy of flow at the entry of compressor.

STEP 1: Convert Input(s) to Base Unit

Enthalpy at Exit of Compressor: 548.5 Kilojoule --> 548500 Joule (Check conversion here)
Enthalpy at Compressor Inlet: 387.6 Kilojoule --> 387600 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_c = h₂-h₁ --> 548500-387600

Evaluating ... ...

W_c = 160900

STEP 3: Convert Result to Output's Unit

160900 Joule -->160.9 Kilojoule (Check conversion here)

FINAL ANSWER

160.9 Kilojoule <-- Compressor Work

(Calculation completed in 00.004 seconds)

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Credits

Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

< 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

Compressor work Formula

Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet
W_c = h₂-h₁

How does compressor work?

Compressors work by forcing air into a container and pressurizing it. Then, the air is forced through an opening in the tank, where pressure builds up.

How to Calculate Compressor work?

Compressor work calculator uses Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet to calculate the Compressor Work, The Compressor work formula is defined as the difference between the enthalpy at end of compressor and enthalpy at starting of compressor. Compressor Work is denoted by W_c symbol.

How to calculate Compressor work using this online calculator? To use this online calculator for Compressor work, enter Enthalpy at Exit of Compressor (h₂) & Enthalpy at Compressor Inlet (h₁) and hit the calculate button. Here is how the Compressor work calculation can be explained with given input values -> 0.1609 = 548500-387600.

FAQ

What is Compressor work?

The Compressor work formula is defined as the difference between the enthalpy at end of compressor and enthalpy at starting of compressor and is represented as W_c = h₂-h₁ or Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet. Enthalpy at Exit of Compressor is the heat energy of the flow after compression & Enthalpy at Compressor Inlet is the heat energy of flow at the entry of compressor.

How to calculate Compressor work?

The Compressor work formula is defined as the difference between the enthalpy at end of compressor and enthalpy at starting of compressor is calculated using Compressor Work = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet. To calculate Compressor work, you need Enthalpy at Exit of Compressor (h₂) & Enthalpy at Compressor Inlet (h₁). With our tool, you need to enter the respective value for Enthalpy at Exit of Compressor & Enthalpy at Compressor Inlet 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 Compressor Work?

In this formula, Compressor Work uses Enthalpy at Exit of Compressor & Enthalpy at Compressor Inlet. We can use 2 other way(s) to calculate the same, which is/are as follows -

Compressor Work = (1/Mechanical Efficiency)*Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)

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