Brayton Cycle

1 min read Updated Fri Apr 24 2026 03:19:45 GMT+0000 (Coordinated Universal Time)

Ideal cycle for gas turbines. Open cycle. Named after George Brayton.

The cycle is converted to a close cycle using a heat exchanger (aka. heat recovery steam generator).

Processes

1 → 2: isentropic compression (compressor) 2 → 3: constant-pressure heat addition (combustor) 3 → 4: isentropic expansion (turbine) 4 → 1: constant-pressure heat rejection

Pressure Ratio

rp=P2P1r_p = \frac{P_2}{P_1}

Efficiency

η=11rp11k\eta = 1 - \frac{1}{r_p^{1 - \frac{1}{k}}}

Back-Work Ratio

BWR=WcompWturb=WinWoutBWR = \frac{W_\text{comp}}{W_\text{turb}} = \frac{W_\text{in}}{W_\text{out}}