Efficiency of cycle Calculator

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✖Turbine Work represents the work done by a turbine in converting the thermal energy of a fluid into mechanical energy.ⓘ Turbine Work [W_T]			+10% -10%
✖Compressor Work is the work done by the compressor.ⓘ Compressor Work [W_c]			+10% -10%
✖Heat refers to the transfer of thermal energy between systems or objects due to a temperature difference.ⓘ Heat [Q]			+10% -10%

✖Efficiency of Cycle is the ratio of net work output from cycle to heat supplied to cycle.ⓘ Efficiency of cycle [η_cycle]

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Formula

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Efficiency of cycle

Formula

`"η"_{"cycle"} = ("W"_{"T"}-"W"_{"c"})/"Q"`

Example

`"0.467213"=("600KJ"-"315KJ")/"610KJ"`

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Download Thermodynamics and Governing Equations Formulas PDF

Efficiency of cycle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat
η_cycle = (W_T-W_c)/Q
This formula uses 4 Variables

Variables Used

Efficiency of Cycle - Efficiency of Cycle is the ratio of net work output from cycle to heat supplied to cycle.
Turbine Work - (Measured in Joule) - Turbine Work represents the work done by a turbine in converting the thermal energy of a fluid into mechanical energy.
Compressor Work - (Measured in Joule) - Compressor Work is the work done by the compressor.
Heat - (Measured in Joule) - Heat refers to the transfer of thermal energy between systems or objects due to a temperature difference.

STEP 1: Convert Input(s) to Base Unit

Turbine Work: 600 Kilojoule --> 600000 Joule (Check conversion here)
Compressor Work: 315 Kilojoule --> 315000 Joule (Check conversion here)
Heat: 610 Kilojoule --> 610000 Joule (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_cycle = (W_T-W_c)/Q --> (600000-315000)/610000

Evaluating ... ...

η_cycle = 0.467213114754098

STEP 3: Convert Result to Output's Unit

0.467213114754098 --> No Conversion Required

FINAL ANSWER

0.467213114754098 ≈ 0.467213 <-- Efficiency of Cycle

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!

Verified by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< 19 Thermodynamics and Governing Equations Calculators

Max work output in Brayton cycle

Go Maximum Work done in Brayton Cycle = (1005*1/Compressor Efficiency)*Temperature at Inlet of Compressor in Brayton*(sqrt(Temperature at Inlet to Turbine in Brayton Cycle/Temperature at Inlet of Compressor in Brayton*Compressor Efficiency*Turbine Efficiency)-1)^2

Choked Mass Flow Rate given specific heat ratio

Go Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))

Choked Mass Flow Rate

Go Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

Stagnation Velocity of Sound given Specific Heat at Constant Pressure

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)

Specific Heat of mixed out gas

Go Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)

Stagnation Temperature

Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)

Stagnation Velocity of Sound

Go Stagnation Velocity of Sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)

Speed of Sound

Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Stagnation Velocity of Sound given Stagnation Enthalpy

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy)

Heat Capacity Ratio

Go Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume

Efficiency of cycle

Go Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat

Internal Energy of Perfect Gas at given Temperature

Go Internal Energy = Specific Heat Capacity at Constant Volume*Temperature

Enthalpy of Ideal Gas at given Temperature

Go Enthalpy = Specific Heat Capacity at Constant Pressure*Temperature

Stagnation enthalpy

Go Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2

Efficiency of Joule cycle

Go Efficiency of Joule Cycle = Net Work Output/Heat

Pressure Ratio

Go Pressure Ratio = Final Pressure/Initial Pressure

Work ratio in practical cycle

Go Work Ratio = 1-(Compressor Work/Turbine Work)

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

Efficiency of cycle Formula

Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat
η_cycle = (W_T-W_c)/Q

What is efficiency?

Efficiency is the ratio of the useful work performed by a machine to the total energy used by a machine.

How to Calculate Efficiency of cycle?

Efficiency of cycle calculator uses Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat to calculate the Efficiency of Cycle, The Efficiency of cycle formula is defined as the ratio of difference of turbine work, compressor work to heat supplied. Efficiency of Cycle is denoted by η_cycle symbol.

How to calculate Efficiency of cycle using this online calculator? To use this online calculator for Efficiency of cycle, enter Turbine Work (W_T), Compressor Work (W_c) & Heat (Q) and hit the calculate button. Here is how the Efficiency of cycle calculation can be explained with given input values -> 1.529508 = (600000-315000)/610000.

FAQ

What is Efficiency of cycle?

The Efficiency of cycle formula is defined as the ratio of difference of turbine work, compressor work to heat supplied and is represented as η_cycle = (W_T-W_c)/Q or Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat. Turbine Work represents the work done by a turbine in converting the thermal energy of a fluid into mechanical energy, Compressor Work is the work done by the compressor & Heat refers to the transfer of thermal energy between systems or objects due to a temperature difference.

How to calculate Efficiency of cycle?

The Efficiency of cycle formula is defined as the ratio of difference of turbine work, compressor work to heat supplied is calculated using Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat. To calculate Efficiency of cycle, you need Turbine Work (W_T), Compressor Work (W_c) & Heat (Q). With our tool, you need to enter the respective value for Turbine Work, Compressor Work & Heat and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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