Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Calculator

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Components of Gas Turbine

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Thermodynamics and Governing Equations

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✖Turbine Inlet Enthalpy is the total energy per unit mass of the fluid entering a turbine.ⓘ Turbine Inlet Enthalpy [h₃]			+10% -10%
✖Turbine Exit Enthalpy is the energy of the gases after expanding through the turbine.ⓘ Turbine Exit Enthalpy [h₄]			+10% -10%
✖Isentropic Turbine Exit Enthalpy refers to the enthalpy of the fluid leaving a turbine under isentropic (reversible adiabatic) conditions.ⓘ Isentropic Turbine Exit Enthalpy [h4_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 given Enthalpy [η_T]

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Formula

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Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy

Formula

`"η"_{"T"} = ("h"_{"3"}-"h"_{"4"})/("h"_{"3"}-"h4"_{"s"})`

Example

`"0.90675"=("1622KJ"-"748.8KJ")/("1622KJ"-"659KJ")`

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Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy)
η_T = (h₃-h₄)/(h₃-h4_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 Enthalpy - (Measured in Joule) - Turbine Inlet Enthalpy is the total energy per unit mass of the fluid entering a turbine.
Turbine Exit Enthalpy - (Measured in Joule) - Turbine Exit Enthalpy is the energy of the gases after expanding through the turbine.
Isentropic Turbine Exit Enthalpy - (Measured in Joule) - Isentropic Turbine Exit Enthalpy refers to the enthalpy of the fluid leaving a turbine under isentropic (reversible adiabatic) conditions.

STEP 1: Convert Input(s) to Base Unit

Turbine Inlet Enthalpy: 1622 Kilojoule --> 1622000 Joule (Check conversion here)
Turbine Exit Enthalpy: 748.8 Kilojoule --> 748800 Joule (Check conversion here)
Isentropic Turbine Exit Enthalpy: 659 Kilojoule --> 659000 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_T = (h₃-h₄)/(h₃-h4_s) --> (1622000-748800)/(1622000-659000)

Evaluating ... ...

η_T = 0.9067497403946

STEP 3: Convert Result to Output's Unit

0.9067497403946 --> No Conversion Required

FINAL ANSWER

0.9067497403946 ≈ 0.90675 <-- Efficiency of Turbine

(Calculation completed in 00.004 seconds)

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Home » Physics » Aeroengines » Components of Gas Turbine » Turbine » Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy

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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 given Enthalpy Formula

Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy)
η_T = (h₃-h₄)/(h₃-h4_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 given Enthalpy?

Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy calculator uses Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy) to calculate the Efficiency of Turbine, The Efficiency of turbine in actual gas turbine cycle given enthalpy formula is defined as the ratio of difference of enthalpy at inlet of turbine and enthalpy at exit of turbine in actual process to the difference of enthalpy at inlet of turbine and enthalpy at exit of turbine in ideal process. Efficiency of Turbine is denoted by η_T symbol.

How to calculate Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy using this online calculator? To use this online calculator for Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy, enter Turbine Inlet Enthalpy (h₃), Turbine Exit Enthalpy (h₄) & Isentropic Turbine Exit Enthalpy (h4_s) and hit the calculate button. Here is how the Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy calculation can be explained with given input values -> 0.947072 = (1622000-748800)/(1622000-659000).

FAQ

What is Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy?

The Efficiency of turbine in actual gas turbine cycle given enthalpy formula is defined as the ratio of difference of enthalpy at inlet of turbine and enthalpy at exit of turbine in actual process to the difference of enthalpy at inlet of turbine and enthalpy at exit of turbine in ideal process and is represented as η_T = (h₃-h₄)/(h₃-h4_s) or Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy). Turbine Inlet Enthalpy is the total energy per unit mass of the fluid entering a turbine, Turbine Exit Enthalpy is the energy of the gases after expanding through the turbine & Isentropic Turbine Exit Enthalpy refers to the enthalpy of the fluid leaving a turbine under isentropic (reversible adiabatic) conditions.

How to calculate Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy?

The Efficiency of turbine in actual gas turbine cycle given enthalpy formula is defined as the ratio of difference of enthalpy at inlet of turbine and enthalpy at exit of turbine in actual process to the difference of enthalpy at inlet of turbine and enthalpy at exit of turbine in ideal process is calculated using Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy). To calculate Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy, you need Turbine Inlet Enthalpy (h₃), Turbine Exit Enthalpy (h₄) & Isentropic Turbine Exit Enthalpy (h4_s). With our tool, you need to enter the respective value for Turbine Inlet Enthalpy, Turbine Exit Enthalpy & Isentropic Turbine Exit Enthalpy 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 Enthalpy, Turbine Exit Enthalpy & Isentropic Turbine Exit Enthalpy. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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