Compressor Work in Gas Turbine given Temperature Calculator

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Components of Gas Turbine

Jet Propulsion

Rocket Propulsion

Thermodynamics and Governing Equations

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✖Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖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%

✖Compressor Work is the work done by the compressor.ⓘ Compressor Work in Gas Turbine given Temperature [W_c]

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Formula

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Compressor Work in Gas Turbine given Temperature

Formula

`"W"_{"c"} = "C"_{"p"}*("T"_{"2"}-"T"_{"1"})`

Example

`"152.0688KJ"="1.248kJ/kg*K"*("420K"-"298.15K")`

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Compressor Work in Gas Turbine given Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
W_c = C_p*(T₂-T₁)
This formula uses 4 Variables

Variables Used

Compressor Work - (Measured in Joule) - Compressor Work is the work done by the compressor.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
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.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Capacity at Constant Pressure: 1.248 Kilojoule per Kilogram per K --> 1248 Joule per Kilogram per K (Check conversion here)
Temperature at Compressor Exit: 420 Kelvin --> 420 Kelvin No Conversion Required
Temperature at Compressor Inlet: 298.15 Kelvin --> 298.15 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_c = C_p*(T₂-T₁) --> 1248*(420-298.15)

Evaluating ... ...

W_c = 152068.8

STEP 3: Convert Result to Output's Unit

152068.8 Joule -->152.0688 Kilojoule (Check conversion here)

FINAL ANSWER

152.0688 Kilojoule <-- Compressor Work

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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National Institute of Technology (NIT), Tiruchirapalli

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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

Compressor Work in Gas Turbine given Temperature Formula

Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet)
W_c = C_p*(T₂-T₁)

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 in Gas Turbine given Temperature?

Compressor Work in Gas Turbine given Temperature calculator uses Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet) to calculate the Compressor Work, The Compressor work in gas turbine given temperature formula is defined as the product of specific heat at constant pressure and difference of inlet and exit temperatures of compressor. Compressor Work is denoted by W_c symbol.

How to calculate Compressor Work in Gas Turbine given Temperature using this online calculator? To use this online calculator for Compressor Work in Gas Turbine given Temperature, enter Specific Heat Capacity at Constant Pressure (C_p), Temperature at Compressor Exit (T₂) & Temperature at Compressor Inlet (T₁) and hit the calculate button. Here is how the Compressor Work in Gas Turbine given Temperature calculation can be explained with given input values -> 0.152069 = 1248*(420-298.15).

FAQ

What is Compressor Work in Gas Turbine given Temperature?

The Compressor work in gas turbine given temperature formula is defined as the product of specific heat at constant pressure and difference of inlet and exit temperatures of compressor and is represented as W_c = C_p*(T₂-T₁) or Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet). Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure, 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.

How to calculate Compressor Work in Gas Turbine given Temperature?

The Compressor work in gas turbine given temperature formula is defined as the product of specific heat at constant pressure and difference of inlet and exit temperatures of compressor is calculated using Compressor Work = Specific Heat Capacity at Constant Pressure*(Temperature at Compressor Exit-Temperature at Compressor Inlet). To calculate Compressor Work in Gas Turbine given Temperature, you need Specific Heat Capacity at Constant Pressure (C_p), Temperature at Compressor Exit (T₂) & Temperature at Compressor Inlet (T₁). With our tool, you need to enter the respective value for Specific Heat Capacity at Constant Pressure, Temperature at Compressor Exit & Temperature 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 Specific Heat Capacity at Constant Pressure, Temperature at Compressor Exit & Temperature 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 = Enthalpy at Exit of Compressor-Enthalpy at Compressor Inlet

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