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Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Formula

GoEfficiency of turbine in actual gas turbine cycle Formula

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Efficiency of Turbine is the ratio of work obtained from turbine to the heat supplied to turbine. Check FAQs

η T = \frac{h 3 - h 4}{h 3 - h4 s}

η_T - Efficiency of Turbine?h₃ - Turbine Inlet Enthalpy?h₄ - Turbine Exit Enthalpy?h4_s - Isentropic Turbine Exit Enthalpy?

Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Example

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Here is how the Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy equation looks like with Values.

Here is how the Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy equation looks like with Units.

Here is how the Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy equation looks like.

0.9067 = \frac{1622 - 748.8}{1622 - 659}

0.9067 = \frac{1622KJ - 748.8KJ}{1622KJ - 659KJ}

0.9067 = \frac{1622 - 748.8}{1622 - 659}

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Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Solution

Follow our step by step solution on how to calculate Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy?

FIRST Step Consider the formula

η T = \frac{h 3 - h 4}{h 3 - h4 s}

Next Step Substitute values of Variables

∴

η T = \frac{1622KJ - 748.8KJ}{1622KJ - 659KJ}

Next Step Convert Units

∴

η T = \frac{1.6E+6J - 748800J}{1.6E+6J - 659000J}

Next Step Prepare to Evaluate

∴

η T = \frac{1.6E+6 - 748800}{1.6E+6 - 659000}

Next Step Evaluate

∴

η T = 0.9067497403946

LAST Step Rounding Answer

∴

η T = 0.9067

Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Formula Elements

Variables

Efficiency of Turbine

Efficiency of Turbine is the ratio of work obtained from turbine to the heat supplied to turbine.

Symbol: η_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency of Turbine

Turbine Inlet Enthalpy

Turbine Inlet Enthalpy is the total energy per unit mass of the fluid entering a turbine.

Symbol: h₃

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Turbine Inlet Enthalpy

Turbine Exit Enthalpy

Turbine Exit Enthalpy is the energy of the gases after expanding through the turbine.

Symbol: h₄

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Turbine Exit Enthalpy

Isentropic Turbine Exit Enthalpy

Isentropic Turbine Exit Enthalpy refers to the enthalpy of the fluid leaving a turbine under isentropic (reversible adiabatic) conditions.

Symbol: h4_s

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Isentropic Turbine Exit Enthalpy

Other Formulas to find Efficiency of Turbine

Go Efficiency of turbine in actual gas turbine cycle

η T = \frac{T 3 - T 4}{T 3 - T 4,s}

Other formulas in Turbine category

Go Degree of Reaction for Turbine

R = \frac{ΔE rotor drop}{ΔE stage drop}

Go Ideal Turbine Work given Pressure Ratio

W T = C p \cdot T 3 \cdot (\frac{{P r}^{\frac{γ - 1}{γ}} - 1}{{P r}^{\frac{γ - 1}{γ}}})

Go Turbine Work given Enthalpy

W T = h 3 - h 4

Go Turbine Work in Gas Turbine given Temperature

W T = C p \cdot (T 3 - T 4)

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

Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy evaluator uses Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy) to evaluate 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 evaluate Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy using this online evaluator? To use this online evaluator 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.

FAQs on Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy

What is the formula to find Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy?

The formula of Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy is expressed as Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy). Here is an example- 0.947072 = (1622000-748800)/(1622000-659000).

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

With Turbine Inlet Enthalpy (h₃), Turbine Exit Enthalpy (h₄) & Isentropic Turbine Exit Enthalpy (h4_s) we can find Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy using the formula - Efficiency of Turbine = (Turbine Inlet Enthalpy-Turbine Exit Enthalpy)/(Turbine Inlet Enthalpy-Isentropic Turbine Exit Enthalpy).

What are the other ways to Calculate Efficiency of Turbine?

Here are the different ways to Calculate Efficiency of Turbine-

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

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Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Formula

​GoEfficiency of turbine in actual gas turbine cycle Formula

Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Example

Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Solution

Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy Formula Elements

Other Formulas to find Efficiency of Turbine

Other formulas in Turbine category

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

FAQs on Efficiency of Turbine in actual Gas Turbine Cycle given Enthalpy

Variable Name

GoEfficiency of turbine in actual gas turbine cycle Formula