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

Formula

`"W"_{"s"} = "η"_{"T"}*("W"_{"s"}"isentropic")`

Example

`"108.75J"="0.75"*"145J"`

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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 00.004 seconds)

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

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National Institute Of Technology (NIT), Surathkal

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< 23 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)

Volume Expansivity for Pumps using Entropy

Go Volume Expansivity = ((Specific Heat Capacity at Constant Pressure per K*ln(Temperature of Surface 2/Temperature of Surface 1))-Change in Entropy)/(Volume*Difference in Pressure)

Enthalpy for Pumps using Volume Expansivity for Pump

Go Change in Enthalpy = (Specific Heat Capacity at Constant Pressure per K*Overall Difference in Temperature)+(Specific Volume*(1-(Volume Expansivity*Temperature of Liquid))*Difference in Pressure)

Volume Expansivity for Pumps using Enthalpy

Go Volume Expansivity = ((((Specific Heat Capacity at Constant Pressure*Overall Difference in Temperature)-Change in Enthalpy)/(Volume*Difference in Pressure))+1)/Temperature of Liquid

Entropy for Pumps using Volume Expansivity for Pump

Go Change in Entropy = (Specific Heat Capacity*ln(Temperature of Surface 2/Temperature of Surface 1))-(Volume Expansivity*Volume*Difference in Pressure)

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

Shaft Power

Go Shaft Power = 2*pi*Revolutions per Second*Torque Exerted on Wheel

Isentropic Change in Enthalpy using Compressor Efficiency and Actual Change in Enthalpy

Go Change in Enthalpy (Isentropic) = Compressor Efficiency*Change in Enthalpy

Compressor Efficiency using Actual and Isentropic Change in Enthalpy

Go Compressor Efficiency = Change in Enthalpy (Isentropic)/Change in Enthalpy

Actual Enthalpy Change using Isentropic Compression Efficieny

Go Change in Enthalpy = Change in Enthalpy (Isentropic)/Compressor Efficiency

Isentropic Change in Enthalpy using Turbine Efficiency and Actual Change in Enthalpy

Go Change in Enthalpy (Isentropic) = Change in Enthalpy/Turbine Efficiency

Actual Change in Enthalpy using Turbine Efficiency and Isentropic Change in Enthalpy

Go Change in Enthalpy = Turbine Efficiency*Change in Enthalpy (Isentropic)

Actual Work done using Compressor Efficiency and Isentropic Shaft Work

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

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work

Go Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work

Compressor Efficiency using Actual and Isentropic Shaft Work

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

Actual Work Done using Turbine Efficiency and Isentropic Shaft Work

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

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work

Go Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency

Turbine Efficiency using Actual and Isentropic Shaft Work

Go Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic)

Nozzle Efficiency

Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy

Mass Flow Rate of Stream in Turbine (Expanders)

Go Mass Flow Rate = Work Done Rate/Change in Enthalpy

Change in Enthalpy in Turbine (Expanders)

Go Change in Enthalpy = Work Done Rate/Mass Flow Rate

Work Done Rate by Turbine (Expanders)

Go Work Done Rate = Change in Enthalpy*Mass Flow Rate

Actual Work Done using Turbine Efficiency and Isentropic Shaft Work Formula

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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