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Isentropic Efficiency of Compression Machine Formula

GoEfficiency of compressor in actual gas turbine cycle Formula

GoEfficiency of Compressor given Enthalpy Formula

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Isentropic Efficiency of Compressor is the ratio of isentropic work of compressor to actual work of compressor. Check FAQs

η C = \frac{W s,in}{W in}

η_C - Isentropic Efficiency of Compressor?W_s,in - Isentropic Work Input?W_in - Actual Work Input?

Isentropic Efficiency of Compression Machine Example

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

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

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

0.9274 = \frac{230}{248}

0.9274 = \frac{230KJ}{248KJ}

0.9274 = \frac{230}{248}

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Isentropic Efficiency of Compression Machine Solution

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

FIRST Step Consider the formula

η C = \frac{W s,in}{W in}

Next Step Substitute values of Variables

∴

η C = \frac{230KJ}{248KJ}

Next Step Convert Units

∴

η C = \frac{230000J}{248000J}

Next Step Prepare to Evaluate

∴

η C = \frac{230000}{248000}

Next Step Evaluate

∴

η C = 0.92741935483871

LAST Step Rounding Answer

∴

η C = 0.9274

Isentropic Efficiency of Compression Machine Formula Elements

Variables

Isentropic Efficiency of Compressor

Isentropic Efficiency of Compressor is the ratio of isentropic work of compressor to actual work of compressor.

Symbol: η_C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Isentropic Efficiency of Compressor

Isentropic Work Input

Isentropic Work Input is the work transfer to the system are frictionless, and there is no transfer of heat or matter.

Symbol: W_s,in

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Isentropic Work Input

Actual Work Input

Actual Work Input is the work transfer which include some energy losses.

Symbol: W_in

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Actual Work Input

Other Formulas to find Isentropic Efficiency of Compressor

Go Efficiency of compressor in actual gas turbine cycle

η C = \frac{T 2 - T 1}{T 2,actual - T 1}

Go Efficiency of Compressor given Enthalpy

η C = \frac{h 2,ideal - h 1}{h 2,actual - h 1}

Other formulas in Compressor category

Go Degree of Reaction for Compressor

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

Go Mean Diameter of Impeller

D m = \sqrt{\frac{{D t}^{2} + {D h}^{2}}{2}}

Go Tip Velocity of Impeller given Mean Diameter

U t = π \cdot {(2 \cdot {D m}^{2} - {D h}^{2})}^{0.5} \cdot \frac{N}{60}

Go Tip Velocity of Impeller given Hub Diameter

U t = π \cdot \frac{N}{60} \cdot \sqrt{\frac{{D t}^{2} + {D h}^{2}}{2}}

How to Evaluate Isentropic Efficiency of Compression Machine?

Isentropic Efficiency of Compression Machine evaluator uses Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input to evaluate the Isentropic Efficiency of Compressor, The Isentropic Efficiency of Compression Machine evaluates its performance by comparing the ideal work input to the actual work input required for compression. This formula calculates the isentropic efficiency by dividing the isentropic work input by the actual work input. Isentropic Efficiency of Compressor is denoted by η_C symbol.

How to evaluate Isentropic Efficiency of Compression Machine using this online evaluator? To use this online evaluator for Isentropic Efficiency of Compression Machine, enter Isentropic Work Input (W_s,in) & Actual Work Input (W_in) and hit the calculate button.

FAQs on Isentropic Efficiency of Compression Machine

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

The formula of Isentropic Efficiency of Compression Machine is expressed as Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input. Here is an example- 0.5 = isentropic_work_input/248000.

How to calculate Isentropic Efficiency of Compression Machine?

With Isentropic Work Input (W_s,in) & Actual Work Input (W_in) we can find Isentropic Efficiency of Compression Machine using the formula - Isentropic Efficiency of Compressor = Isentropic Work Input/Actual Work Input.

What are the other ways to Calculate Isentropic Efficiency of Compressor?

Here are the different ways to Calculate Isentropic Efficiency of Compressor-

Isentropic Efficiency of Compressor=(Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet)
Isentropic Efficiency of Compressor=(Ideal Enthalpy after Compression-Enthalpy at Compressor Inlet)/(Actual Enthalpy after Compression-Enthalpy at Compressor Inlet)

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