Actual Work done using Compressor Efficiency and Isentropic Shaft Work Calculator

✖Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically.ⓘ Shaft Work (Isentropic) [W_sisentropic]			+10% -10%
✖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 Work done using Compressor Efficiency and Isentropic Shaft Work [W_s]

⎘ Copy

👎

Formula

✖

Actual Work done using Compressor Efficiency and Isentropic Shaft Work

Formula

W s = \frac{W s isentropic}{η c}

Example

258.9286 J = \frac{145 J}{0.56}

Calculator

LaTeX

Reset

👍

Download Chemical Engineering Formula PDF PDF Image

Actual Work done using Compressor Efficiency and Isentropic Shaft Work Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Actual Shaft Work - (Measured in Joule) - Actual shaft work is work done by the shaft in a turbine/ compressor.
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.

STEP 1: Convert Input(s) to Base Unit

Shaft Work (Isentropic): 145 Joule --> 145 Joule No Conversion Required
Compressor Efficiency: 0.56 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_s = W_sisentropic/η_c --> 145/0.56

Evaluating ... ...

W_s = 258.928571428571

STEP 3: Convert Result to Output's Unit

258.928571428571 Joule --> No Conversion Required

FINAL ANSWER

258.928571428571 ≈ 258.9286 Joule <-- Actual Shaft Work

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

Shivam Sinha has created this Calculator and 300+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< 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)

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

Nozzle Efficiency

Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy

Actual Work done using Compressor Efficiency and Isentropic Shaft Work Formula

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

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 Actual Work done using Compressor Efficiency and Isentropic Shaft Work?

Actual Work done using Compressor Efficiency and Isentropic Shaft Work calculator uses Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency to calculate the Actual Shaft Work, The Actual Work done using Compressor Efficiency 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 compressor efficiency. Actual Shaft Work is denoted by W_s symbol.

How to calculate Actual Work done using Compressor Efficiency and Isentropic Shaft Work using this online calculator? To use this online calculator for Actual Work done using Compressor Efficiency and Isentropic Shaft Work, enter Shaft Work (Isentropic) (W_sisentropic) & Compressor Efficiency (η_c) and hit the calculate button. Here is how the Actual Work done using Compressor Efficiency and Isentropic Shaft Work calculation can be explained with given input values -> 258.9286 = 145/0.56.

FAQ

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

The Actual Work done using Compressor Efficiency 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 compressor efficiency and is represented as W_s = W_sisentropic/η_c or Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency. Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically & Compressor Efficiency shows how efficient the compressor is in the process.

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

The Actual Work done using Compressor Efficiency 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 compressor efficiency is calculated using Actual Shaft Work = Shaft Work (Isentropic)/Compressor Efficiency. To calculate Actual Work done using Compressor Efficiency and Isentropic Shaft Work, you need Shaft Work (Isentropic) (W_sisentropic) & Compressor Efficiency (η_c). With our tool, you need to enter the respective value for Shaft Work (Isentropic) & Compressor Efficiency 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 Actual Shaft Work?

In this formula, Actual Shaft Work uses Shaft Work (Isentropic) & Compressor Efficiency. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search