Isentropic Efficiency of Expansion Machine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Turbine Efficiency = Actual Work/Isentropic Work Output
ηT = Wactual/Ws,out
This formula uses 3 Variables
Variables Used
Turbine Efficiency - Turbine Efficiency represents the ratio of the actual work output of a turbine to the maximum(isentropic) work output it could theoretically achieve.
Actual Work - (Measured in Joule) - Actual Work refers to the effective work done by a system or device, considering loss and efficiency.
Isentropic Work Output - (Measured in Joule) - Isentropic work output is the work transfer which involves no frictional and energy transfer losses.
STEP 1: Convert Input(s) to Base Unit
Actual Work: 104 Kilojoule --> 104000 Joule (Check conversion here)
Isentropic Work Output: 121 Kilojoule --> 121000 Joule (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηT = Wactual/Ws,out --> 104000/121000
Evaluating ... ...
ηT = 0.859504132231405
STEP 3: Convert Result to Output's Unit
0.859504132231405 --> No Conversion Required
FINAL ANSWER
0.859504132231405 0.859504 <-- Turbine Efficiency
(Calculation completed in 00.020 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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12 Efficiency Metrics Calculators

Net work output in simple gas turbine cycle
Go Net Work Output = Specific Heat Capacity at Constant Pressure*((Temperature at Inlet of Turbine-Temperature at Exit of Turbine)-(Temperature at Exit of Compressor-Temperature at Inlet of Compressor))
Change in Kinetic Energy of Jet Engine
Go Change in Kinetic Energy = (((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2)-(Mass Flow Rate*Flight Speed^2 ))/2
Propulsive power
Go Propulsive Power = 1/2*((Mass Flow Rate+Fuel Flow Rate)*Exit Velocity^2-(Mass Flow Rate*Flight Speed^2))
Thermal Efficiency of Jet Engines given Effective Speed Ratio
Go Thermal Efficiency = (Exit Velocity^2*(1-Effective Speed Ratio^2))/(2*Fuel Air Ratio*Fuel Calorific Value)
Overall Efficiency given Specific Fuel Consumption
Go Overall Efficiency = Flight Speed/(Thrust-Specific Fuel Consumption*Fuel Calorific Value)
Overall Efficiency of Propulsive System
Go Overall Efficiency = Thermal Efficiency*Efficiency of Transmission*Propulsive Efficiency
Propulsive efficiency given aircraft velocity
Go Propulsive Efficiency = (2*Flight Speed)/(Exit Velocity+Flight Speed)
Transmission Efficiency given Output and Input of Transmission
Go Efficiency of Transmission = Transmission Output Power/Transmission Input Power
Propulsive Efficiency given Effective Speed Ratio
Go Propulsive Efficiency = (2*Effective Speed Ratio)/(1+Effective Speed Ratio)
Isentropic Efficiency of Expansion Machine
Go Turbine Efficiency = Actual Work/Isentropic Work Output
Propulsive efficiency
Go Propulsive Efficiency = Thrust Power/Propulsive Power
Effective speed ratio
Go Effective Speed Ratio = Flight Speed/Exit Velocity

Isentropic Efficiency of Expansion Machine Formula

Turbine Efficiency = Actual Work/Isentropic Work Output
ηT = Wactual/Ws,out

what is isentropic efficiency?

Isentropic efficiency is a parameter to measure the degree of degradation of energy, It involves a comparison between the actual performance of a device and the performance that would be achieved under idealized circumstances for the same inlet and exit conditions.

How to Calculate Isentropic Efficiency of Expansion Machine?

Isentropic Efficiency of Expansion Machine calculator uses Turbine Efficiency = Actual Work/Isentropic Work Output to calculate the Turbine Efficiency, The Isentropic efficiency of expansion machine formula is defined as the ratio ofactual work output to isentropic work output. Turbine Efficiency is denoted by ηT symbol.

How to calculate Isentropic Efficiency of Expansion Machine using this online calculator? To use this online calculator for Isentropic Efficiency of Expansion Machine, enter Actual Work (Wactual) & Isentropic Work Output (Ws,out ) and hit the calculate button. Here is how the Isentropic Efficiency of Expansion Machine calculation can be explained with given input values -> 0.866667 = 104000/121000.

FAQ

What is Isentropic Efficiency of Expansion Machine?
The Isentropic efficiency of expansion machine formula is defined as the ratio ofactual work output to isentropic work output and is represented as ηT = Wactual/Ws,out or Turbine Efficiency = Actual Work/Isentropic Work Output. Actual Work refers to the effective work done by a system or device, considering loss and efficiency & Isentropic work output is the work transfer which involves no frictional and energy transfer losses.
How to calculate Isentropic Efficiency of Expansion Machine?
The Isentropic efficiency of expansion machine formula is defined as the ratio ofactual work output to isentropic work output is calculated using Turbine Efficiency = Actual Work/Isentropic Work Output. To calculate Isentropic Efficiency of Expansion Machine, you need Actual Work (Wactual) & Isentropic Work Output (Ws,out ). With our tool, you need to enter the respective value for Actual Work & Isentropic Work Output 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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