Isentropic Work Done using Compressor Efficiency and Actual Shaft Work Calculator

✖Compressor Efficiency shows how efficient the compressor is in the process.ⓘ Compressor Efficiency [η_c]			+10% -10%
✖Actual shaft work is work done by the shaft in a turbine/ compressor.ⓘ Actual Shaft Work [W_s]			+10% -10%

✖Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically.ⓘ Isentropic Work Done using Compressor Efficiency and Actual Shaft Work [W_sisentropic]

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Formula

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Isentropic Work Done using Compressor Efficiency and Actual Shaft Work

Formula

`("W"_{"s"}"isentropic") = "η"_{"c"}*"W"_{"s"}`

Example

`"67.2J"="0.56"*"120J"`

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Isentropic Work Done using Compressor Efficiency and Actual Shaft Work Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work
W_sisentropic = η_c*W_s
This formula uses 3 Variables

Variables Used

Shaft Work (Isentropic) - (Measured in Joule) - Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically.
Compressor Efficiency - Compressor Efficiency shows how efficient the compressor is in the process.
Actual Shaft Work - (Measured in Joule) - Actual shaft work is work done by the shaft in a turbine/ compressor.

STEP 1: Convert Input(s) to Base Unit

Compressor Efficiency: 0.56 --> No Conversion Required
Actual Shaft Work: 120 Joule --> 120 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_sisentropic = η_c*W_s --> 0.56*120

Evaluating ... ...

W_sisentropic = 67.2

STEP 3: Convert Result to Output's Unit

67.2 Joule --> No Conversion Required

FINAL ANSWER

67.2 Joule <-- Shaft Work (Isentropic)

(Calculation completed in 00.008 seconds)

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Home » Engineering » Chemical Engineering » Thermodynamics » Application of Thermodynamics to Flow Processes » Isentropic Work Done using Compressor Efficiency and Actual Shaft Work

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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National Institute of Information Technology (NIIT), Neemrana

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< 23 Application of Thermodynamics to Flow Processes Calculators

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma

Go Shaft Work (Isentropic) = [R]*(Temperature of Surface 1/((Heat Capacity Ratio-1)/Heat Capacity Ratio))*((Pressure 2/Pressure 1)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)

Volume Expansivity for Pumps using Entropy

Go Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure)

Enthalpy for Pumps using Volume Expansivity for Pump

Go Change in Enthalpy = (Specific Heat Capacity at Constant Pressure per K*Overall Difference in Temperature)+(Specific Volume*(1-(Volume Expansivity*Temperature of Liquid))*Difference in Pressure)

Volume Expansivity for Pumps using Enthalpy

Go Volume Expansivity = ((((Specific Heat Capacity at Constant Pressure*Overall Difference in Temperature)-Change in Enthalpy)/(Volume*Difference in Pressure))+1)/Temperature of Liquid

Entropy for Pumps using Volume Expansivity for Pump

Go Change in Entropy = (Specific Heat Capacity*ln(Temperature of Surface 2/Temperature of Surface 1))-(Volume Expansivity*Volume*Difference in Pressure)

Isentropic Work done rate for Adiabatic Compression Process using Cp

Go Shaft Work (Isentropic) = Specific Heat Capacity*Temperature of Surface 1*((Pressure 2/Pressure 1)^([R]/Specific Heat Capacity)-1)

Overall Efficiency given Boiler, Cycle, Turbine, Generator, and Auxiliary Efficiency

Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency

Shaft Power

Go Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel

Isentropic Change in Enthalpy using Compressor Efficiency and Actual Change in Enthalpy

Go Change in Enthalpy (Isentropic) = Compressor Efficiency*Change in Enthalpy

Compressor Efficiency using Actual and Isentropic Change in Enthalpy

Go Compressor Efficiency = Change in Enthalpy (Isentropic)/Change in Enthalpy

Actual Enthalpy Change using Isentropic Compression Efficieny

Go Change in Enthalpy = Change in Enthalpy (Isentropic)/Compressor Efficiency

Isentropic Change in Enthalpy using Turbine Efficiency and Actual Change in Enthalpy

Go Change in Enthalpy (Isentropic) = Change in Enthalpy/Turbine Efficiency

Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy

Go Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)

Actual Work done using Compressor Efficiency and Isentropic Shaft Work

Go Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work

Go Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work

Compressor Efficiency using Actual and Isentropic Shaft Work

Go Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work

Actual Work Done using Turbine Efficiency and Isentropic Shaft Work

Go Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic)

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work

Go Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency

Turbine Efficiency using Actual and Isentropic Shaft Work

Go Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic)

Nozzle Efficiency

Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy

Mass Flow Rate of Stream in Turbine (Expanders)

Go Mass Flow Rate = Work Done Rate/Change in Enthalpy

Change in Enthalpy in Turbine (Expanders)

Go Change in Enthalpy = Work Done Rate/Mass Flow Rate

Work Done Rate by Turbine (Expanders)

Go Work Done Rate = Change in Enthalpy*Mass Flow Rate

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work Formula

Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work
W_sisentropic = η_c*W_s

Explain working of compressor.

The compression of gases may be accomplished in equipment with rotating blades (like a turbine operating in reverse) or in cylinders with reciprocating pistons. Rotary equipment is used for high-volume flow where the discharge pressure is not too high. For high pressures, reciprocating compressors are often required. The energy equations are independent of the type of equipment; indeed, they are the same as for turbines or expanders because here, too, potential and kinetic energy changes are presumed negligible.

How to Calculate Isentropic Work Done using Compressor Efficiency and Actual Shaft Work?

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work calculator uses Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work to calculate the Shaft Work (Isentropic), The Isentropic Work Done using Compressor Efficiency and Actual Shaft Work formula is defined as the product of actual shaft work done by the turbine and the compressor efficiency. Shaft Work (Isentropic) is denoted by W_sisentropic symbol.

How to calculate Isentropic Work Done using Compressor Efficiency and Actual Shaft Work using this online calculator? To use this online calculator for Isentropic Work Done using Compressor Efficiency and Actual Shaft Work, enter Compressor Efficiency (η_c) & Actual Shaft Work (W_s) and hit the calculate button. Here is how the Isentropic Work Done using Compressor Efficiency and Actual Shaft Work calculation can be explained with given input values -> 67.2 = 0.56*120.

FAQ

What is Isentropic Work Done using Compressor Efficiency and Actual Shaft Work?

The Isentropic Work Done using Compressor Efficiency and Actual Shaft Work formula is defined as the product of actual shaft work done by the turbine and the compressor efficiency and is represented as W_sisentropic = η_c*W_s or Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work. Compressor Efficiency shows how efficient the compressor is in the process & Actual shaft work is work done by the shaft in a turbine/ compressor.

How to calculate Isentropic Work Done using Compressor Efficiency and Actual Shaft Work?

The Isentropic Work Done using Compressor Efficiency and Actual Shaft Work formula is defined as the product of actual shaft work done by the turbine and the compressor efficiency is calculated using Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work. To calculate Isentropic Work Done using Compressor Efficiency and Actual Shaft Work, you need Compressor Efficiency (η_c) & Actual Shaft Work (W_s). With our tool, you need to enter the respective value for Compressor Efficiency & Actual Shaft Work 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 (Isentropic)?

In this formula, Shaft Work (Isentropic) uses Compressor Efficiency & Actual Shaft Work. We can use 3 other way(s) to calculate the same, which is/are as follows -

Shaft Work (Isentropic) = Specific Heat Capacity*Temperature of Surface 1*((Pressure 2/Pressure 1)^([R]/Specific Heat Capacity)-1)
Shaft Work (Isentropic) = [R]*(Temperature of Surface 1/((Heat Capacity Ratio-1)/Heat Capacity Ratio))*((Pressure 2/Pressure 1)^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)
Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency

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