Turbine Efficiency using Actual and Isentropic Shaft Work Solution

STEP 0: Pre-Calculation Summary
Formula Used
Turbine Efficiency = Actual Shaft Work/Shaft Work (Isentropic)
ηT = Ws/Wsisentropic
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
ηT = Ws/Wsisentropic --> 120/145
Evaluating ... ...
ηT = 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 00.020 seconds)

Credits

Creator Image
Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
Shivam Sinha has created this Calculator and 300+ more calculators!
Verifier Image
Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

Application of Thermodynamics to Flow Processes Calculators

Isentropic Work Done Rate for Adiabatic Compression Process using Gamma
​ LaTeX ​ 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)
Isentropic Work done rate for Adiabatic Compression Process using Cp
​ LaTeX ​ 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
​ LaTeX ​ Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency
Nozzle Efficiency
​ LaTeX ​ Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy

Turbine Efficiency using Actual and Isentropic Shaft Work Formula

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

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 ηT 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 (Ws) & Shaft Work (Isentropic) (Wsisentropic) 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 ηT = Ws/Wsisentropic 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 (Ws) & Shaft Work (Isentropic) (Wsisentropic). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!