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
Wsisentropic = ηc*Ws
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
Wsisentropic = ηc*Ws --> 0.56*120
Evaluating ... ...
Wsisentropic = 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 00.004 seconds)

Credits

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Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Application of Thermodynamics to Flow Processes Calculators

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma
​ LaTeX ​ 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)
Isentropic Work done rate for Adiabatic Compression Process using Cp
​ LaTeX ​ 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
​ LaTeX ​ Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency
Nozzle Efficiency
​ LaTeX ​ Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work Formula

​LaTeX ​Go
Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work
Wsisentropic = ηc*Ws

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 Wsisentropic 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 c) & Actual Shaft Work (Ws) 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 Wsisentropic = ηc*Ws 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 c) & Actual Shaft Work (Ws). 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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