Compressor Efficiency using Actual and Isentropic Shaft Work Solution

STEP 0: Pre-Calculation Summary
Formula Used
Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work
ηc = Wsisentropic/Ws
This formula uses 3 Variables
Variables Used
Compressor Efficiency - Compressor Efficiency shows how efficient the compressor is in the process.
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.
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
Shaft Work (Isentropic): 145 Joule --> 145 Joule No Conversion Required
Actual Shaft Work: 120 Joule --> 120 Joule No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηc = Wsisentropic/Ws --> 145/120
Evaluating ... ...
ηc = 1.20833333333333
STEP 3: Convert Result to Output's Unit
1.20833333333333 --> No Conversion Required
FINAL ANSWER
1.20833333333333 1.208333 <-- Compressor Efficiency
(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Surathkal
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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

Compressor Efficiency using Actual and Isentropic Shaft Work Formula

​LaTeX ​Go
Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work
ηc = Wsisentropic/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 Compressor Efficiency using Actual and Isentropic Shaft Work?

Compressor Efficiency using Actual and Isentropic Shaft Work calculator uses Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work to calculate the Compressor Efficiency, The Compressor Efficiency using Actual and Isentropic Shaft Work formula is defined as the ratio of the shaft work done by the compressor under reversible and adiabatic conditions (which is isentropic condition) to the actual shaft work done by the compressor. Compressor Efficiency is denoted by ηc symbol.

How to calculate Compressor Efficiency using Actual and Isentropic Shaft Work using this online calculator? To use this online calculator for Compressor Efficiency using Actual and Isentropic Shaft Work, enter Shaft Work (Isentropic) (Wsisentropic) & Actual Shaft Work (Ws) and hit the calculate button. Here is how the Compressor Efficiency using Actual and Isentropic Shaft Work calculation can be explained with given input values -> 1.208333 = 145/120.

FAQ

What is Compressor Efficiency using Actual and Isentropic Shaft Work?
The Compressor Efficiency using Actual and Isentropic Shaft Work formula is defined as the ratio of the shaft work done by the compressor under reversible and adiabatic conditions (which is isentropic condition) to the actual shaft work done by the compressor and is represented as ηc = Wsisentropic/Ws or Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work. Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically & Actual shaft work is work done by the shaft in a turbine/ compressor.
How to calculate Compressor Efficiency using Actual and Isentropic Shaft Work?
The Compressor Efficiency using Actual and Isentropic Shaft Work formula is defined as the ratio of the shaft work done by the compressor under reversible and adiabatic conditions (which is isentropic condition) to the actual shaft work done by the compressor is calculated using Compressor Efficiency = Shaft Work (Isentropic)/Actual Shaft Work. To calculate Compressor Efficiency using Actual and Isentropic Shaft Work, you need Shaft Work (Isentropic) (Wsisentropic) & Actual Shaft Work (Ws). With our tool, you need to enter the respective value for Shaft Work (Isentropic) & 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 Compressor Efficiency?
In this formula, Compressor Efficiency uses Shaft Work (Isentropic) & Actual Shaft Work. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Compressor Efficiency = Change in Enthalpy (Isentropic)/Change in Enthalpy
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