Brayton Cycle Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Efficiency of Brayton Cycle = 1-1/(Pressure Ratio^((Gamma-1)/Gamma))
BCE = 1-1/(rp^((Y-1)/Y))
This formula uses 3 Variables
Variables Used
Thermal Efficiency of Brayton Cycle - Thermal efficiency of Brayton cycle (single compressor and single turbine) we use the first law of thermodynamics in terms of enthalpy rather than in terms of internal energy.
Pressure Ratio - Pressure Ratio is ratio of final to initial pressure.
Gamma - Gamma is ratio of heat capacities at constant pressure and volume.
STEP 1: Convert Input(s) to Base Unit
Pressure Ratio: 6 --> No Conversion Required
Gamma: 2.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
BCE = 1-1/(rp^((Y-1)/Y)) --> 1-1/(6^((2.6-1)/2.6))
Evaluating ... ...
BCE = 0.668000299386509
STEP 3: Convert Result to Output's Unit
0.668000299386509 --> No Conversion Required
FINAL ANSWER
0.668000299386509 0.668 <-- Thermal Efficiency of Brayton Cycle
(Calculation completed in 00.004 seconds)

Credits

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Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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Thermal Efficiency Calculators

Brayton Cycle Efficiency
​ LaTeX ​ Go Thermal Efficiency of Brayton Cycle = 1-1/(Pressure Ratio^((Gamma-1)/Gamma))
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​ LaTeX ​ Go Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature
Brake Thermal Efficiency
​ LaTeX ​ Go Brake Thermal Efficiency = Brake Power/Heat Energy
Compressor Efficiency
​ LaTeX ​ Go Compressor Efficiency = Kinetic Energy/Work

Brayton Cycle Efficiency Formula

​LaTeX ​Go
Thermal Efficiency of Brayton Cycle = 1-1/(Pressure Ratio^((Gamma-1)/Gamma))
BCE = 1-1/(rp^((Y-1)/Y))

What does a Brayton cycle include?

A Brayton cycle includes 2 adiabatic quasi-static process and 2 isobaric process . it depends on the degree of freedom of material.

How to Calculate Brayton Cycle Efficiency?

Brayton Cycle Efficiency calculator uses Thermal Efficiency of Brayton Cycle = 1-1/(Pressure Ratio^((Gamma-1)/Gamma)) to calculate the Thermal Efficiency of Brayton Cycle, Brayton cycle efficiency (or Joule cycle) represents the operation of a gas turbine engine. Thermal Efficiency of Brayton Cycle is denoted by BCE symbol.

How to calculate Brayton Cycle Efficiency using this online calculator? To use this online calculator for Brayton Cycle Efficiency, enter Pressure Ratio (rp) & Gamma (Y) and hit the calculate button. Here is how the Brayton Cycle Efficiency calculation can be explained with given input values -> 0.49628 = 1-1/(6^((2.6-1)/2.6)).

FAQ

What is Brayton Cycle Efficiency?
Brayton cycle efficiency (or Joule cycle) represents the operation of a gas turbine engine and is represented as BCE = 1-1/(rp^((Y-1)/Y)) or Thermal Efficiency of Brayton Cycle = 1-1/(Pressure Ratio^((Gamma-1)/Gamma)). Pressure Ratio is ratio of final to initial pressure & Gamma is ratio of heat capacities at constant pressure and volume.
How to calculate Brayton Cycle Efficiency?
Brayton cycle efficiency (or Joule cycle) represents the operation of a gas turbine engine is calculated using Thermal Efficiency of Brayton Cycle = 1-1/(Pressure Ratio^((Gamma-1)/Gamma)). To calculate Brayton Cycle Efficiency, you need Pressure Ratio (rp) & Gamma (Y). With our tool, you need to enter the respective value for Pressure Ratio & Gamma 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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