Shaft Work in Compressible Flow Machines Calculator

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Components of Gas Turbine

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Thermodynamics and Governing Equations

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✖Enthalpy at Compressor Inlet is the heat energy of flow at the entry of compressor.ⓘ Enthalpy at Compressor Inlet [h₁]			+10% -10%
✖Compressor Inlet Velocity is the velocity of gases entering the compressor.ⓘ Compressor Inlet Velocity [C₁]			+10% -10%
✖Enthalpy at Exit of Compressor is the heat energy of the flow after compression.ⓘ Enthalpy at Exit of Compressor [h₂]			+10% -10%
✖Compressor Exit Velocity is the velocity of gases exiting the compressor.ⓘ Compressor Exit Velocity [C₂]			+10% -10%

✖Shaft Work is mechanical energy used to drive a mechanism, such as a pump, compressor, or turbine.ⓘ Shaft Work in Compressible Flow Machines [W_s]

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Formula

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Shaft Work in Compressible Flow Machines

Formula

`"W"_{"s"} = ("h"_{"1"}+"C"_{"1"}^2/2)-("h"_{"2"}+"C"_{"2"}^2/2)`

Example

`"-160.57018KJ"=("387.6KJ"+("30.8m/s")^2/2)-("548.5KJ"+("17m/s")^2/2)`

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Shaft Work in Compressible Flow Machines Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shaft Work = (Enthalpy at Compressor Inlet+Compressor Inlet Velocity^2/2)-(Enthalpy at Exit of Compressor+Compressor Exit Velocity^2/2)
W_s = (h₁+C₁^2/2)-(h₂+C₂^2/2)
This formula uses 5 Variables

Variables Used

Shaft Work - (Measured in Joule) - Shaft Work is mechanical energy used to drive a mechanism, such as a pump, compressor, or turbine.
Enthalpy at Compressor Inlet - (Measured in Joule) - Enthalpy at Compressor Inlet is the heat energy of flow at the entry of compressor.
Compressor Inlet Velocity - (Measured in Meter per Second) - Compressor Inlet Velocity is the velocity of gases entering the compressor.
Enthalpy at Exit of Compressor - (Measured in Joule) - Enthalpy at Exit of Compressor is the heat energy of the flow after compression.
Compressor Exit Velocity - (Measured in Meter per Second) - Compressor Exit Velocity is the velocity of gases exiting the compressor.

STEP 1: Convert Input(s) to Base Unit

Enthalpy at Compressor Inlet: 387.6 Kilojoule --> 387600 Joule (Check conversion here)
Compressor Inlet Velocity: 30.8 Meter per Second --> 30.8 Meter per Second No Conversion Required
Enthalpy at Exit of Compressor: 548.5 Kilojoule --> 548500 Joule (Check conversion here)
Compressor Exit Velocity: 17 Meter per Second --> 17 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_s = (h₁+C₁^2/2)-(h₂+C₂^2/2) --> (387600+30.8^2/2)-(548500+17^2/2)

Evaluating ... ...

W_s = -160570.18

STEP 3: Convert Result to Output's Unit

-160570.18 Joule -->-160.57018 Kilojoule (Check conversion here)

FINAL ANSWER

-160.57018 Kilojoule <-- Shaft Work

(Calculation completed in 00.004 seconds)

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Home » Physics » Aeroengines » Components of Gas Turbine » Compressor » Shaft Work in Compressible Flow Machines

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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

Shaft Work in Compressible Flow Machines Formula

Shaft Work = (Enthalpy at Compressor Inlet+Compressor Inlet Velocity^2/2)-(Enthalpy at Exit of Compressor+Compressor Exit Velocity^2/2)
W_s = (h₁+C₁^2/2)-(h₂+C₂^2/2)

What is shaft work?

Shaft work is defined as the mechanical energy used to drive a mechanism, such as a pump, compressor, or turbine.

How to Calculate Shaft Work in Compressible Flow Machines?

Shaft Work in Compressible Flow Machines calculator uses Shaft Work = (Enthalpy at Compressor Inlet+Compressor Inlet Velocity^2/2)-(Enthalpy at Exit of Compressor+Compressor Exit Velocity^2/2) to calculate the Shaft Work, Shaft work in compressible flow machines formula is defined as the sum of enthalpy and half of square of inlet velocity subtracted by the sum of enthalpy at exit and half of square of exit velocity. Shaft Work is denoted by W_s symbol.

How to calculate Shaft Work in Compressible Flow Machines using this online calculator? To use this online calculator for Shaft Work in Compressible Flow Machines, enter Enthalpy at Compressor Inlet (h₁), Compressor Inlet Velocity (C₁), Enthalpy at Exit of Compressor (h₂) & Compressor Exit Velocity (C₂) and hit the calculate button. Here is how the Shaft Work in Compressible Flow Machines calculation can be explained with given input values -> -0.16057 = (387600+30.8^2/2)-(548500+17^2/2).

FAQ

What is Shaft Work in Compressible Flow Machines?

Shaft work in compressible flow machines formula is defined as the sum of enthalpy and half of square of inlet velocity subtracted by the sum of enthalpy at exit and half of square of exit velocity and is represented as W_s = (h₁+C₁^2/2)-(h₂+C₂^2/2) or Shaft Work = (Enthalpy at Compressor Inlet+Compressor Inlet Velocity^2/2)-(Enthalpy at Exit of Compressor+Compressor Exit Velocity^2/2). Enthalpy at Compressor Inlet is the heat energy of flow at the entry of compressor, Compressor Inlet Velocity is the velocity of gases entering the compressor, Enthalpy at Exit of Compressor is the heat energy of the flow after compression & Compressor Exit Velocity is the velocity of gases exiting the compressor.

How to calculate Shaft Work in Compressible Flow Machines?

Shaft work in compressible flow machines formula is defined as the sum of enthalpy and half of square of inlet velocity subtracted by the sum of enthalpy at exit and half of square of exit velocity is calculated using Shaft Work = (Enthalpy at Compressor Inlet+Compressor Inlet Velocity^2/2)-(Enthalpy at Exit of Compressor+Compressor Exit Velocity^2/2). To calculate Shaft Work in Compressible Flow Machines, you need Enthalpy at Compressor Inlet (h₁), Compressor Inlet Velocity (C₁), Enthalpy at Exit of Compressor (h₂) & Compressor Exit Velocity (C₂). With our tool, you need to enter the respective value for Enthalpy at Compressor Inlet, Compressor Inlet Velocity, Enthalpy at Exit of Compressor & Compressor Exit Velocity 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 Shaft Work?

In this formula, Shaft Work uses Enthalpy at Compressor Inlet, Compressor Inlet Velocity, Enthalpy at Exit of Compressor & Compressor Exit Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shaft Work = Enthalpy at Compressor Inlet-Enthalpy at Exit of Compressor

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