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
Wsisentropic = Ws/ηT
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
Wsisentropic = WsT --> 120/0.75
Evaluating ... ...
Wsisentropic = 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)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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National Institute of Information Technology (NIIT), Neemrana
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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

Isentropic Work Done using Turbine Efficiency and Actual Shaft Work Formula

Shaft Work (Isentropic) = Actual Shaft Work/Turbine Efficiency
Wsisentropic = Ws/ηT

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 Wsisentropic 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 (Ws) & Turbine Efficiency 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 Wsisentropic = WsT 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 (Ws) & Turbine Efficiency 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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