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Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Formula

GoIsentropic Work done rate for Adiabatic Compression Process using Cp Formula

GoIsentropic Work Done Rate for Adiabatic Compression Process using Gamma Formula

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Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically. Check FAQs

W s isentropic = \frac{W s}{η T}

W_sisentropic - Shaft Work (Isentropic)?W_s - Actual Shaft Work?η_T - Turbine Efficiency?

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Example

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Here is how the Isentropic Work Done using Turbine Efficiency and Actual Shaft Work equation looks like with Values.

Here is how the Isentropic Work Done using Turbine Efficiency and Actual Shaft Work equation looks like with Units.

Here is how the Isentropic Work Done using Turbine Efficiency and Actual Shaft Work equation looks like.

160 = \frac{120}{0.75}

160J = \frac{120J}{0.75}

160 = \frac{120}{0.75}

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Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Solution

Follow our step by step solution on how to calculate Isentropic Work Done using Turbine Efficiency and Actual Shaft Work?

FIRST Step Consider the formula

W s isentropic = \frac{W s}{η T}

Next Step Substitute values of Variables

∴

W s isentropic = \frac{120J}{0.75}

Next Step Prepare to Evaluate

∴

W s isentropic = \frac{120}{0.75}

LAST Step Evaluate

∴

W s isentropic = 160J

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Formula Elements

Variables

Shaft Work (Isentropic)

Shaft work (Isentropic) is work done by the shaft in a turbine/ compressor when the turbine expands reversibly and adiabatically.

Symbol: W_sisentropic

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Shaft Work (Isentropic)

Actual Shaft Work

Actual shaft work is work done by the shaft in a turbine/ compressor.

Symbol: W_s

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Actual Shaft Work

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.

Symbol: η_T

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Turbine Efficiency

Other Formulas to find Shaft Work (Isentropic)

Go Isentropic Work done rate for Adiabatic Compression Process using Cp

W s isentropic = c \cdot T 1 \cdot ({(\frac{P 2}{P 1})}^{\frac{[R]}{c}} - 1)

Go Isentropic Work Done Rate for Adiabatic Compression Process using Gamma

W s isentropic = [R] \cdot (\frac{T 1}{\frac{γ - 1}{γ}}) \cdot ({(\frac{P 2}{P 1})}^{\frac{γ - 1}{γ}} - 1)

Go Isentropic Work Done using Compressor Efficiency and Actual Shaft Work

W s isentropic = η c \cdot W s

Other formulas in Application of Thermodynamics to Flow Processes category

Go Nozzle Efficiency

NE = \frac{ΔKE}{KE}

Go Overall Efficiency given Boiler, Cycle, Turbine, Generator, and Auxiliary Efficiency

η o = η B \cdot η C \cdot η T \cdot η G \cdot η Aux

Go Enthalpy for Pumps using Volume Expansivity for Pump

ΔH = (C pk \cdot ΔT) + (V Specific \cdot (1 - (β \cdot T)) \cdot ΔP)

Go Entropy for Pumps using Volume Expansivity for Pump

ΔS = (c \cdot \ln (\frac{T 2}{T 1})) - (β \cdot V T \cdot ΔP)

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

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work evaluator uses Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency to evaluate 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 evaluate Isentropic Work Done using Turbine Efficiency and Actual Shaft Work using this online evaluator? To use this online evaluator 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.

FAQs on Isentropic Work Done using Turbine Efficiency and Actual Shaft Work

What is the formula to find Isentropic Work Done using Turbine Efficiency and Actual Shaft Work?

The formula of Isentropic Work Done using Turbine Efficiency and Actual Shaft Work is expressed as Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency. Here is an example- 160 = 120/0.75.

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

With Actual Shaft Work (W_s) & Turbine Efficiency (η_T) we can find Isentropic Work Done using Turbine Efficiency and Actual Shaft Work using the formula - Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency.

What are the other ways to Calculate Shaft Work (Isentropic)?

Here are the different ways to Calculate Shaft Work (Isentropic)-

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

Can the Isentropic Work Done using Turbine Efficiency and Actual Shaft Work be negative?

Yes, the Isentropic Work Done using Turbine Efficiency and Actual Shaft Work, measured in Energy can be negative.

Which unit is used to measure Isentropic Work Done using Turbine Efficiency and Actual Shaft Work?

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Isentropic Work Done using Turbine Efficiency and Actual Shaft Work can be measured.

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Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Formula

​GoIsentropic Work done rate for Adiabatic Compression Process using Cp Formula

​GoIsentropic Work Done Rate for Adiabatic Compression Process using Gamma Formula

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Example

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Solution

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Formula Elements

Other Formulas to find Shaft Work (Isentropic)

Other formulas in Application of Thermodynamics to Flow Processes category

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

FAQs on Isentropic Work Done using Turbine Efficiency and Actual Shaft Work

Variable Name

GoIsentropic Work done rate for Adiabatic Compression Process using Cp Formula

GoIsentropic Work Done Rate for Adiabatic Compression Process using Gamma Formula