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Isentropic Efficiency of Expansion Machine Formula

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Turbine Efficiency represents the ratio of the actual work output of a turbine to the maximum(isentropic) work output it could theoretically achieve. Check FAQs

η T = \frac{W actual}{W s,out}

η_T - Turbine Efficiency?W_actual - Actual Work?W_s,out - Isentropic Work Output?

Isentropic Efficiency of Expansion Machine Example

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Here is how the Isentropic Efficiency of Expansion Machine equation looks like with Values.

Here is how the Isentropic Efficiency of Expansion Machine equation looks like with Units.

Here is how the Isentropic Efficiency of Expansion Machine equation looks like.

0.8595 = \frac{104}{121}

0.8595 = \frac{104KJ}{121KJ}

0.8595 = \frac{104}{121}

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Isentropic Efficiency of Expansion Machine Solution

Follow our step by step solution on how to calculate Isentropic Efficiency of Expansion Machine?

FIRST Step Consider the formula

η T = \frac{W actual}{W s,out}

Next Step Substitute values of Variables

∴

η T = \frac{104KJ}{121KJ}

Next Step Convert Units

∴

η T = \frac{104000J}{121000J}

Next Step Prepare to Evaluate

∴

η T = \frac{104000}{121000}

Next Step Evaluate

∴

η T = 0.859504132231405

LAST Step Rounding Answer

∴

η T = 0.8595

Isentropic Efficiency of Expansion Machine Formula Elements

Variables

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.

Symbol: η_T

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Turbine Efficiency

Actual Work

Actual Work refers to the effective work done by a system or device, considering loss and efficiency.

Symbol: W_actual

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Actual Work

Isentropic Work Output

Isentropic work output is the work transfer which involves no frictional and energy transfer losses.

Symbol: W_s,out

Measurement: EnergyUnit: KJ

Note: Value should be greater than 0.

Formulas to find Isentropic Work Output

Other formulas in Efficiency Metrics category

Go Net work output in simple gas turbine cycle

W Net = C p \cdot ((T 3 - T 4) - (T 2 - T 1))

Go Propulsive power

P = \frac{1}{2} \cdot ((m a + m f) \cdot {V e}^{2} - (m a \cdot V^{2}))

Go Thermal Efficiency of Jet Engines given Effective Speed Ratio

η th = \frac{{V e}^{2} \cdot (1 - α^{2})}{2 \cdot f \cdot Q}

Go Transmission Efficiency given Output and Input of Transmission

η transmission = \frac{P out}{P in}

How to Evaluate Isentropic Efficiency of Expansion Machine?

Isentropic Efficiency of Expansion Machine evaluator uses Turbine Efficiency = Actual Work/Isentropic Work Output to evaluate the Turbine Efficiency, Isentropic Efficiency of Expansion Machine is a measure of the ratio of actual work output to the maximum possible work output, comparing the performance of an expansion machine to its ideal isentropic performance. Turbine Efficiency is denoted by η_T symbol.

How to evaluate Isentropic Efficiency of Expansion Machine using this online evaluator? To use this online evaluator for Isentropic Efficiency of Expansion Machine, enter Actual Work (W_actual) & Isentropic Work Output (W_s,out) and hit the calculate button.

FAQs on Isentropic Efficiency of Expansion Machine

What is the formula to find Isentropic Efficiency of Expansion Machine?

The formula of Isentropic Efficiency of Expansion Machine is expressed as Turbine Efficiency = Actual Work/Isentropic Work Output. Here is an example- 0.866667 = 104000/121000.

How to calculate Isentropic Efficiency of Expansion Machine?

With Actual Work (W_actual) & Isentropic Work Output (W_s,out) we can find Isentropic Efficiency of Expansion Machine using the formula - Turbine Efficiency = Actual Work/Isentropic Work Output.

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Isentropic Efficiency of Expansion Machine Formula

Isentropic Efficiency of Expansion Machine Example

Isentropic Efficiency of Expansion Machine Solution

Isentropic Efficiency of Expansion Machine Formula Elements

Other formulas in Efficiency Metrics category

How to Evaluate Isentropic Efficiency of Expansion Machine?

FAQs on Isentropic Efficiency of Expansion Machine

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