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Efficiency of compressor in actual gas turbine cycle Formula

GoIsentropic Efficiency of Compression Machine 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{T 2 - T 1}{T 2,actual - T 1}

η_C - Isentropic Efficiency of Compressor?T₂ - Temperature at Compressor Exit?T₁ - Temperature at Compressor Inlet?T_2,actual - Actual Temperature at Compressor Exit?

Efficiency of compressor in actual gas turbine cycle Example

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Here is how the Efficiency of compressor in actual gas turbine cycle equation looks like with Values.

Here is how the Efficiency of compressor in actual gas turbine cycle equation looks like with Units.

Here is how the Efficiency of compressor in actual gas turbine cycle equation looks like.

0.9242 = \frac{420 - 298.15}{430 - 298.15}

0.9242 = \frac{420K - 298.15K}{430K - 298.15K}

0.9242 = \frac{420 - 298.15}{430 - 298.15}

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Efficiency of compressor in actual gas turbine cycle Solution

Follow our step by step solution on how to calculate Efficiency of compressor in actual gas turbine cycle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η C = \frac{420K - 298.15K}{430K - 298.15K}

Next Step Prepare to Evaluate

∴

η C = \frac{420 - 298.15}{430 - 298.15}

Next Step Evaluate

∴

η C = 0.924156238149412

LAST Step Rounding Answer

∴

η C = 0.9242

Efficiency of compressor in actual gas turbine cycle 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

Temperature at Compressor Exit

Temperature at Compressor Exit is the temperature of the gases exiting the compressor.

Symbol: T₂

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature at Compressor Exit

Temperature at Compressor Inlet

Temperature at Compressor Inlet is the temperature of the gases entering the compressor.

Symbol: T₁

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Temperature at Compressor Inlet

Actual Temperature at Compressor Exit

Actual Temperature at Compressor Exit is the temperature of the gases exiting the compressor considering the losses throughout the compression process.

Symbol: T_2,actual

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Actual Temperature at Compressor Exit

Other Formulas to find Isentropic Efficiency of Compressor

Go Isentropic Efficiency of Compression Machine

η C = \frac{W s,in}{W in}

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 Efficiency of compressor in actual gas turbine cycle?

Efficiency of compressor in actual gas turbine cycle evaluator uses Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet) to evaluate the Isentropic Efficiency of Compressor, The Efficiency of Compressor in Actual Gas Turbine Cycle measures how effectively the compressor increases the temperature of the air compared to the theoretical maximum. This formula calculates the isentropic efficiency by comparing the temperature rise in the compressor under actual conditions to the temperature rise in an ideal, isentropic process. Isentropic Efficiency of Compressor is denoted by η_C symbol.

How to evaluate Efficiency of compressor in actual gas turbine cycle using this online evaluator? To use this online evaluator for Efficiency of compressor in actual gas turbine cycle, enter Temperature at Compressor Exit (T₂), Temperature at Compressor Inlet (T₁) & Actual Temperature at Compressor Exit (T_2,actual) and hit the calculate button.

FAQs on Efficiency of compressor in actual gas turbine cycle

What is the formula to find Efficiency of compressor in actual gas turbine cycle?

The formula of Efficiency of compressor in actual gas turbine cycle is expressed as Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet). Here is an example- 0.924156 = (420-298.15)/(430-298.15).

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

With Temperature at Compressor Exit (T₂), Temperature at Compressor Inlet (T₁) & Actual Temperature at Compressor Exit (T_2,actual) we can find Efficiency of compressor in actual gas turbine cycle using the formula - Isentropic Efficiency of Compressor = (Temperature at Compressor Exit-Temperature at Compressor Inlet)/(Actual Temperature at Compressor Exit-Temperature at Compressor Inlet).

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

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Efficiency of compressor in actual gas turbine cycle Formula

​GoIsentropic Efficiency of Compression Machine Formula

​GoEfficiency of Compressor given Enthalpy Formula

Efficiency of compressor in actual gas turbine cycle Example

Efficiency of compressor in actual gas turbine cycle Solution

Efficiency of compressor in actual gas turbine cycle Formula Elements

Other Formulas to find Isentropic Efficiency of Compressor

Other formulas in Compressor category

How to Evaluate Efficiency of compressor in actual gas turbine cycle?

FAQs on Efficiency of compressor in actual gas turbine cycle

Variable Name

GoIsentropic Efficiency of Compression Machine Formula

GoEfficiency of Compressor given Enthalpy Formula