The formula to calculate Brayton Cycle Efficiency is:
\[ \text{BCE} = 1 - \frac{1}{r_p^{\left(\frac{Y-1}{Y}\right)}} \]
Thermal efficiency of Brayton cycle (single compressor and single turbine) uses the first law of thermodynamics in terms of enthalpy rather than in terms of internal energy. Pressure Ratio is the ratio of final to initial pressure. Gamma is the ratio of heat capacities at constant pressure and volume.
Let's assume the following values:
Using the formula:
\[ \text{BCE} = 1 - \frac{1}{6^{\left(\frac{2.6-1}{2.6}\right)}} \approx 0.668000299386509 \]
The Brayton Cycle Efficiency is approximately 0.668000299386509.
| Pressure Ratio | Brayton Cycle Efficiency |
|---|---|
| 5 | 0.628580575519096 |
| 5.2 | 0.637437771360442 |
| 5.4 | 0.645761183856046 |
| 5.6 | 0.653601024599289 |
| 5.8 | 0.661001202394283 |
| 6 | 0.668000299386509 |
| 6.2 | 0.674632369228102 |
| 6.4 | 0.680927594301172 |
| 6.6 | 0.686912830426069 |
| 6.8 | 0.692612061076419 |