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

Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
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17 Thermal Efficiency Calculators

Diesel Efficiency
Go Diesel Efficiency = 1-1/(Compression Ratio^Gamma-1)*(Cutoff Ratio^Gamma-1/(Gamma*(Cutoff Ratio-1)))
Overall Efficiency given Boiler, Cycle, Turbine, Generator, and Auxiliary Efficiency
Go Overall Efficiency = Boiler Efficiency*Cycle Efficiency*Turbine Efficiency*Generator Efficiency*Auxiliary Efficiency
Volumetric Efficiency given Compression and Pressure Ratio
Go Volumetric Efficiency = 1+Compression Ratio+Compression Ratio* Pressure Ratio^(1/Gamma)
Thermal Efficiency of Carnot Engine
Go Thermal Efficiency of Carnot Engine = 1-Absolute Temperature of Cold Reservoir/Absolute Temperature of Hot Reservoir
Brayton Cycle Efficiency
Go Thermal Efficiency of Brayton Cycle = 1-1/(Pressure Ratio^((Gamma-1)/Gamma))
Thermal Efficiency given Mechanical Energy
Go Thermal Efficiency given Mechanical energy = Mechanical Energy/Thermal Energy
Thermal Efficiency given Waste Energy
Go Thermal efficiency given Waste energy = 1-Waste Heat/Thermal Energy
Carnot Cycle Efficiency of Heat Engine using Temperature of Source and Sink
Go Carnot Cycle Efficiency = 1-Initial Temperature/Final Temperature
Nozzle Efficiency
Go Nozzle Efficiency = Change in Kinetic Energy/Kinetic Energy
Indicated Thermal Efficiency
Go Indicated Thermal Efficiency = Brake Power/Heat Energy
Thermal Efficiency of Heat Engine
Go Thermal Efficiency of Heat Engine = Work/Heat Energy
Cooled Compressor Efficiency
Go Cooled Compressor Efficiency = Kinetic Energy/Work
Brake Thermal Efficiency
Go Brake Thermal Efficiency = Brake Power/Heat Energy
Otto Cycle Efficiency
Go OTE = 1-Initial Temperature/Final Temperature
Compressor Efficiency
Go Compressor Efficiency = Kinetic Energy/Work
Turbine Efficiency
Go Turbine Efficiency = Work/Kinetic Energy
Ranking Cycle Efficiency
Go Ranking Cycle = 1-Heat Ratio

Brayton Cycle Efficiency Formula

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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