Isentropic Efficiency of Expansion Machine Calculator

⤿

Jet Propulsion

Components of Gas Turbine

Rocket Propulsion

Thermodynamics and Governing Equations

⤿

Performance Parameters

Turbofans

Turbojets

Turbomachinery Equations

Turboprops

⤿

Efficiency Metrics

Thrust Generation

✖Actual Work refers to the effective work done by a system or device, considering loss and efficiency.ⓘ Actual Work [W_actual]			+10% -10%
✖Isentropic work output is the work transfer which involves no frictional and energy transfer losses.ⓘ Isentropic Work Output [W_s,out]			+10% -10%

✖Turbine Efficiency represents the ratio of the actual work output of a turbine to the maximum(isentropic) work output it could theoretically achieve.ⓘ Isentropic Efficiency of Expansion Machine [η_T]

⎘ Copy

👎

Formula

✖

Isentropic Efficiency of Expansion Machine

Formula

`"η"_{"T"} = "W"_{"actual"}/"W"_{"s,out "}`

Example

`"0.859504"="104KJ"/"121KJ"`

Calculator

LaTeX

Reset

👍

Download Aeroengines Formula PDF PDF Image

Isentropic Efficiency of Expansion Machine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Turbine Efficiency = Actual Work/Isentropic Work Output
η_T = W_actual/W_s,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

η_T = W_actual/W_s,out --> 104000/121000

Evaluating ... ...

η_T = 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 00.004 seconds)

You are here -

Home » Physics » Aeroengines » Jet Propulsion » Performance Parameters » Efficiency Metrics » Isentropic Efficiency of Expansion Machine

Credits

Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has verified this Calculator and 200+ more calculators!

< 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
η_T = W_actual/W_s,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 η_T 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 (W_actual) & Isentropic Work Output (W_s,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 η_T = W_actual/W_s,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 (W_actual) & Isentropic Work Output (W_s,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.

Home

FREE PDFs

🔍 Search