Efficiency of turbine in actual gas turbine cycle Calculator

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Components of Gas Turbine

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✖Turbine Inlet Temperature refers to the temperature of the fluid entering a turbine, such as the hot gases from combustion in a gas turbine engine.ⓘ Turbine Inlet Temperature [T₃]			+10% -10%
✖Turbine Exit Temperature is the flow temperature after expanding through the turbine.ⓘ Turbine Exit Temperature [T₄]			+10% -10%
✖Isentropic Turbine Exit Temperature is the temperature of the fluid leaving a turbine under isentropic (reversible adiabatic) conditions.ⓘ Isentropic Turbine Exit Temperature [T_4,s]			+10% -10%

✖Efficiency of Turbine is the ratio of work obtained from turbine to the heat supplied to turbine.ⓘ Efficiency of turbine in actual gas turbine cycle [η_T]

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Formula

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Efficiency of turbine in actual gas turbine cycle

Formula

`"η"_{"T"} = ("T"_{"3"}-"T"_{"4"})/("T"_{"3"}-"T"_{"4,s"})`

Example

`"0.903226"=("1300K"-"600K")/("1300K"-"525K")`

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Efficiency of turbine in actual gas turbine cycle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of Turbine = (Turbine Inlet Temperature-Turbine Exit Temperature)/(Turbine Inlet Temperature-Isentropic Turbine Exit Temperature)
η_T = (T₃-T₄)/(T₃-T_4,s)
This formula uses 4 Variables

Variables Used

Efficiency of Turbine - Efficiency of Turbine is the ratio of work obtained from turbine to the heat supplied to turbine.
Turbine Inlet Temperature - (Measured in Kelvin) - Turbine Inlet Temperature refers to the temperature of the fluid entering a turbine, such as the hot gases from combustion in a gas turbine engine.
Turbine Exit Temperature - (Measured in Kelvin) - Turbine Exit Temperature is the flow temperature after expanding through the turbine.
Isentropic Turbine Exit Temperature - (Measured in Kelvin) - Isentropic Turbine Exit Temperature is the temperature of the fluid leaving a turbine under isentropic (reversible adiabatic) conditions.

STEP 1: Convert Input(s) to Base Unit

Turbine Inlet Temperature: 1300 Kelvin --> 1300 Kelvin No Conversion Required
Turbine Exit Temperature: 600 Kelvin --> 600 Kelvin No Conversion Required
Isentropic Turbine Exit Temperature: 525 Kelvin --> 525 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_T = (T₃-T₄)/(T₃-T_4,s) --> (1300-600)/(1300-525)

Evaluating ... ...

η_T = 0.903225806451613

STEP 3: Convert Result to Output's Unit

0.903225806451613 --> No Conversion Required

FINAL ANSWER

0.903225806451613 ≈ 0.903226 <-- Efficiency of Turbine

(Calculation completed in 00.020 seconds)

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Home » Physics » Aeroengines » Components of Gas Turbine » Turbine » Efficiency of turbine in actual gas turbine cycle

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< 6 Turbine Calculators

Ideal Turbine Work given Pressure Ratio

Go Turbine Work = Specific heat at constant pressure*Turbine Inlet Temperature*((Turbine Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)-1)/(Turbine Pressure Ratio^((Heat Capacity Ratio-1)/Heat Capacity Ratio)))

Efficiency of turbine in actual gas turbine cycle

Go Efficiency of Turbine = (Turbine Inlet Temperature-Turbine Exit Temperature)/(Turbine Inlet Temperature-Isentropic Turbine Exit Temperature)

Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy

Go Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy)

Turbine Work in Gas Turbine given Temperature

Go Turbine Work = Specific heat at constant pressure*(Turbine Inlet Temperature-Turbine Exit Temperature)

Degree of Reaction for Turbine

Go Degree of Reaction = (Enthalpy Drop in Rotor)/(Enthalpy Drop in Stage)

Turbine Work given Enthalpy

Go Turbine Work = Turbine Inlet Enthalpy-Turbine Exit Enthalpy

Efficiency of turbine in actual gas turbine cycle Formula

Efficiency of Turbine = (Turbine Inlet Temperature-Turbine Exit Temperature)/(Turbine Inlet Temperature-Isentropic Turbine Exit Temperature)
η_T = (T₃-T₄)/(T₃-T_4,s)

What is turbine efficiency?

Efficiency of turbine is defined as the ratio of output produced by turbine to the input given to the turbine.

How to Calculate Efficiency of turbine in actual gas turbine cycle?

Efficiency of turbine in actual gas turbine cycle calculator uses Efficiency of Turbine = (Turbine Inlet Temperature-Turbine Exit Temperature)/(Turbine Inlet Temperature-Isentropic Turbine Exit Temperature) to calculate the Efficiency of Turbine, The Efficiency of turbine in actual gas turbine cycle formula is defined as the ratio of difference between inlet, exit temperatures of actual expansion to the difference between inlet and exit temperatures of isentropic expansion. Efficiency of Turbine is denoted by η_T symbol.

How to calculate Efficiency of turbine in actual gas turbine cycle using this online calculator? To use this online calculator for Efficiency of turbine in actual gas turbine cycle, enter Turbine Inlet Temperature (T₃), Turbine Exit Temperature (T₄) & Isentropic Turbine Exit Temperature (T_4,s) and hit the calculate button. Here is how the Efficiency of turbine in actual gas turbine cycle calculation can be explained with given input values -> 0.555556 = (1300-600)/(1300-525).

FAQ

What is Efficiency of turbine in actual gas turbine cycle?

The Efficiency of turbine in actual gas turbine cycle formula is defined as the ratio of difference between inlet, exit temperatures of actual expansion to the difference between inlet and exit temperatures of isentropic expansion and is represented as η_T = (T₃-T₄)/(T₃-T_4,s) or Efficiency of Turbine = (Turbine Inlet Temperature-Turbine Exit Temperature)/(Turbine Inlet Temperature-Isentropic Turbine Exit Temperature). Turbine Inlet Temperature refers to the temperature of the fluid entering a turbine, such as the hot gases from combustion in a gas turbine engine, Turbine Exit Temperature is the flow temperature after expanding through the turbine & Isentropic Turbine Exit Temperature is the temperature of the fluid leaving a turbine under isentropic (reversible adiabatic) conditions.

How to calculate Efficiency of turbine in actual gas turbine cycle?

The Efficiency of turbine in actual gas turbine cycle formula is defined as the ratio of difference between inlet, exit temperatures of actual expansion to the difference between inlet and exit temperatures of isentropic expansion is calculated using Efficiency of Turbine = (Turbine Inlet Temperature-Turbine Exit Temperature)/(Turbine Inlet Temperature-Isentropic Turbine Exit Temperature). To calculate Efficiency of turbine in actual gas turbine cycle, you need Turbine Inlet Temperature (T₃), Turbine Exit Temperature (T₄) & Isentropic Turbine Exit Temperature (T_4,s). With our tool, you need to enter the respective value for Turbine Inlet Temperature, Turbine Exit Temperature & Isentropic Turbine Exit Temperature 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 Efficiency of Turbine?

In this formula, Efficiency of Turbine uses Turbine Inlet Temperature, Turbine Exit Temperature & Isentropic Turbine Exit Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy)

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