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Isentropic Work Done using Compressor 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 = η c \cdot W s

W_sisentropic - Shaft Work (Isentropic)?η_c - Compressor Efficiency?W_s - Actual Shaft Work?

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work Example

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

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

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

67.2 = 0.56 \cdot 120

67.2J = 0.56 \cdot 120J

67.2 = 0.56 \cdot 120

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Isentropic Work Done using Compressor Efficiency and Actual Shaft Work Solution

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

FIRST Step Consider the formula

W s isentropic = η c \cdot W s

Next Step Substitute values of Variables

∴

W s isentropic = 0.56 \cdot 120J

Next Step Prepare to Evaluate

∴

W s isentropic = 0.56 \cdot 120

LAST Step Evaluate

∴

W s isentropic = 67.2J

Isentropic Work Done using Compressor 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)

Compressor Efficiency

Compressor Efficiency shows how efficient the compressor is in the process.

Symbol: η_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Compressor Efficiency

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

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 Turbine Efficiency and Actual Shaft Work

W s isentropic = \frac{W s}{η T}

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 Compressor Efficiency and Actual Shaft Work?

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work evaluator uses Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work to evaluate the Shaft Work (Isentropic), The Isentropic Work Done using Compressor Efficiency and Actual Shaft Work formula is defined as the product of actual shaft work done by the turbine and the compressor efficiency. Shaft Work (Isentropic) is denoted by W_sisentropic symbol.

How to evaluate Isentropic Work Done using Compressor Efficiency and Actual Shaft Work using this online evaluator? To use this online evaluator for Isentropic Work Done using Compressor Efficiency and Actual Shaft Work, enter Compressor Efficiency (η_c) & Actual Shaft Work (W_s) and hit the calculate button.

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

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

The formula of Isentropic Work Done using Compressor Efficiency and Actual Shaft Work is expressed as Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work. Here is an example- 67.2 = 0.56*120.

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

With Compressor Efficiency (η_c) & Actual Shaft Work (W_s) we can find Isentropic Work Done using Compressor Efficiency and Actual Shaft Work using the formula - Shaft Work (Isentropic) = Compressor Efficiency*Actual Shaft Work.

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)=Actual Shaft Work/Turbine Efficiency

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

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

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

Isentropic Work Done using Compressor 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 Compressor Efficiency and Actual Shaft Work can be measured.

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Isentropic Work Done using Compressor 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 Compressor Efficiency and Actual Shaft Work Example

Isentropic Work Done using Compressor Efficiency and Actual Shaft Work Solution

Isentropic Work Done using Compressor 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 Compressor Efficiency and Actual Shaft Work?

FAQs on Isentropic Work Done using Compressor 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