Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Calculator

✖Actual shaft work is work done by the shaft in a turbine/ compressor.ⓘ Actual Shaft Work [W_s]			+10% -10%
✖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.ⓘ Isentropic Work Done using Turbine Efficiency and Actual Shaft Work [W_sisentropic]

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Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Actual Shaft Work: 120 Joule --> 120 Joule No Conversion Required
Turbine Efficiency: 0.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_sisentropic = W_s/η_T --> 120/0.75

Evaluating ... ...

W_sisentropic = 160

STEP 3: Convert Result to Output's Unit

160 Joule --> No Conversion Required

FINAL ANSWER

160 Joule <-- Shaft Work (Isentropic)

(Calculation completed in 00.004 seconds)

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Created by Shivam Sinha

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

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Formula

LaTeX Go

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

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 Isentropic Work Done using Turbine Efficiency and Actual Shaft Work?

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

How to calculate Isentropic Work Done using Turbine Efficiency and Actual Shaft Work using this online calculator? To use this online calculator for Isentropic Work Done using Turbine Efficiency and Actual Shaft Work, enter Actual Shaft Work (W_s) & Turbine Efficiency (η_T) and hit the calculate button. Here is how the Isentropic Work Done using Turbine Efficiency and Actual Shaft Work calculation can be explained with given input values -> 160 = 120/0.75.

FAQ

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

The Isentropic Work Done using Turbine Efficiency and Actual Shaft Work formula is defined as the ratio of actual shaft work done by the turbine to the turbine efficiency and is represented as W_sisentropic = W_s/η_T or Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency. Actual shaft work is work done by the shaft in a turbine/ compressor & Turbine Efficiency is the ratio of actual work output of the turbine to the net input energy supplied in the form of fuel.

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

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

In this formula, Shaft Work (Isentropic) uses Actual Shaft Work & Turbine Efficiency. 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) = Compressor Efficiency*Actual Shaft Work

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