Turbine Efficiency using Actual and Isentropic Shaft Work Calculator

✖Actual shaft work is work done by the shaft in a turbine/ compressor.ⓘ Actual Shaft Work [W_s]			+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%

✖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 using Actual and Isentropic Shaft Work [η_T]

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Turbine Efficiency using Actual and Isentropic Shaft Work

Formula

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

Example

`"0.827586"="120J"/"145J"`

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Turbine Efficiency using Actual and Isentropic Shaft Work Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic)
η_T = W_s/W_sisentropic
This formula uses 3 Variables

Variables Used

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.
Actual Shaft Work - (Measured in Joule) - Actual shaft work is work done by the shaft in a turbine/ compressor.
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

Actual Shaft Work: 120 Joule --> 120 Joule No Conversion Required
Shaft Work (Isentropic): 145 Joule --> 145 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_T = W_s/W_sisentropic --> 120/145

Evaluating ... ...

η_T = 0.827586206896552

STEP 3: Convert Result to Output's Unit

0.827586206896552 --> No Conversion Required

FINAL ANSWER

0.827586206896552 ≈ 0.827586 <-- Turbine Efficiency

(Calculation completed in 00.006 seconds)

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Home » Engineering » Chemical Engineering » Thermodynamics » Application of Thermodynamics to Flow Processes » Turbine Efficiency using Actual 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

Turbine Efficiency using Actual and Isentropic Shaft Work Formula

Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic)
η_T = W_s/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 Turbine Efficiency using Actual and Isentropic Shaft Work?

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

How to calculate Turbine Efficiency using Actual and Isentropic Shaft Work using this online calculator? To use this online calculator for Turbine Efficiency using Actual and Isentropic Shaft Work, enter Actual Shaft Work (W_s) & Shaft Work (Isentropic) (W_sisentropic) and hit the calculate button. Here is how the Turbine Efficiency using Actual and Isentropic Shaft Work calculation can be explained with given input values -> 0.827586 = 120/145.

FAQ

What is Turbine Efficiency using Actual and Isentropic Shaft Work?

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

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

The Turbine Efficiency using Actual and Isentropic Shaft Work formula is defined as the ratio of actual shaft work done by the turbine to the shaft work done by the turbine under reversible and adiabatic conditions (which is isentropic condition) is calculated using Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic). To calculate Turbine Efficiency using Actual and Isentropic Shaft Work, you need Actual Shaft Work (W_s) & Shaft Work (Isentropic) (W_sisentropic). With our tool, you need to enter the respective value for Actual Shaft Work & Shaft Work (Isentropic) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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