Enter the compression ratio and specific heat ratio into the calculator to determine the Brayton cycle efficiency. The Brayton cycle is an ideal cycle for gas turbines and describes the workings of a constant-pressure heat engine.
Brayton Cycle Efficiency Formula
The following formula is used to calculate the Brayton cycle efficiency:
η = 1 - r^{(1 - k)}Variables:
- η is the Brayton cycle efficiency (%)
- r is the compression ratio
- k is the specific heat ratio (Cp/Cv)
To calculate the Brayton cycle efficiency, subtract the compression ratio raised to the power of one minus the specific heat ratio from one, and then multiply by 100 to get the percentage.
What is Brayton Cycle Efficiency?
Brayton cycle efficiency is a measure of the thermodynamic efficiency of a Brayton cycle, which is the idealized cycle for a gas turbine engine. It represents the fraction of heat energy converted into useful work and is influenced by the compression ratio and the specific heat ratio of the gas. Higher efficiencies indicate a more effective engine that can do more work with the same amount of heat energy.
How to Calculate Brayton Cycle Efficiency?
The following steps outline how to calculate the Brayton Cycle Efficiency.
- First, determine the compression ratio (r) of the gas turbine engine.
- Next, determine the specific heat ratio (k) of the gas being used in the engine.
- Use the formula above to calculate the Brayton cycle efficiency (η).
- Finally, convert the efficiency to a percentage by multiplying by 100.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Compression Ratio (r) = 10
Specific Heat Ratio (k) = 1.4
