Actual Work Done using Turbine Efficiency and Isentropic Shaft Work Calculator

✖Turbine Efficiency is the ratio of actual work output of the turbine to the net input energy supplied in the form of fuel.ⓘ Turbine Efficiency [η_T]			+10% -10%
✖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%

✖Actual shaft work is work done by the shaft in a turbine/ compressor.ⓘ Actual Work Done using Turbine Efficiency and Isentropic Shaft Work [W_s]

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Actual Work Done using Turbine Efficiency and Isentropic Shaft Work Solution

STEP 0: Pre-Calculation Summary

Formula Used

Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic)
W_s = η_T*W_sisentropic
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.
Turbine Efficiency - Turbine Efficiency is the ratio of actual work output of the turbine to the net input energy supplied in the form of fuel.
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.

STEP 1: Convert Input(s) to Base Unit

Turbine Efficiency: 0.75 --> No Conversion Required
Shaft Work (Isentropic): 145 Joule --> 145 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_s = η_T*W_sisentropic --> 0.75*145

Evaluating ... ...

W_s = 108.75

STEP 3: Convert Result to Output's Unit

108.75 Joule --> No Conversion Required

FINAL ANSWER

108.75 Joule <-- Actual Shaft Work

(Calculation completed in 00.020 seconds)

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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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< 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

Actual Work Done using Turbine Efficiency and Isentropic Shaft Work Formula

LaTeX Go

Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic)
W_s = η_T*W_sisentropic

Explain working of turbine (expanders).

The expansion of a gas in a nozzle to produce a high-velocity stream is a process that converts internal energy into kinetic energy, which in turn is converted into shaft work when the stream impinges on blades attached to a rotating shaft. Thus a turbine (or expander) consists of alternate sets of nozzles and rotating blades through which vapor or gas flows in a steady-state expansion process. The overall result is the conversion of the internal energy of a high-pressure stream into shaft work. When steam provides the motive force as in most power plants, the device is called a turbine; when it is a high-pressure gas, such as ammonia or ethylene in a chemical plant, the device is usually called an expander.

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

Actual Work Done using Turbine Efficiency and Isentropic Shaft Work calculator uses Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic) to calculate the Actual Shaft Work, The Actual Work Done using Turbine Efficiency and Isentropic Shaft Work formula is defined as the product of turbine efficiency and the shaft work done by the turbine under reversible and adiabatic conditions (which is isentropic condition). Actual Shaft Work is denoted by W_s symbol.

How to calculate Actual Work Done using Turbine Efficiency and Isentropic Shaft Work using this online calculator? To use this online calculator for Actual Work Done using Turbine Efficiency and Isentropic Shaft Work, enter Turbine Efficiency (η_T) & Shaft Work (Isentropic) (W_sisentropic) and hit the calculate button. Here is how the Actual Work Done using Turbine Efficiency and Isentropic Shaft Work calculation can be explained with given input values -> 108.75 = 0.75*145.

FAQ

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

The Actual Work Done using Turbine Efficiency and Isentropic Shaft Work formula is defined as the product of turbine efficiency and the shaft work done by the turbine under reversible and adiabatic conditions (which is isentropic condition) and is represented as W_s = η_T*W_sisentropic or Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic). Turbine Efficiency is the ratio of actual work output of the turbine to the net input energy supplied in the form of fuel & Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically.

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

The Actual Work Done using Turbine Efficiency and Isentropic Shaft Work formula is defined as the product of turbine efficiency and the shaft work done by the turbine under reversible and adiabatic conditions (which is isentropic condition) is calculated using Actual Shaft Work = Turbine Efficiency*Shaft Work (Isentropic). To calculate Actual Work Done using Turbine Efficiency and Isentropic Shaft Work, you need Turbine Efficiency (η_T) & Shaft Work (Isentropic) (W_sisentropic). With our tool, you need to enter the respective value for Turbine Efficiency & Shaft Work (Isentropic) 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 Turbine Efficiency & Shaft Work (Isentropic). We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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