Compressor Power Calculator — Formule
## Adiabatic Compressor Power
The isentropic (ideal adiabatic) compression process provides the theoretical minimum power needed. Real compressors require more power due to irreversibilities.
### Formula
**W_ideal = m × Cp × T1 × (PR^((gamma-1)/gamma) - 1)**
**W_actual = W_ideal / eta_isentropic**
**T2 = T1 × (1 + (PR^((gamma-1)/gamma) - 1) / eta)**
where PR is the pressure ratio, gamma is the specific heat ratio, and eta is the isentropic efficiency.
The isentropic (ideal adiabatic) compression process provides the theoretical minimum power needed. Real compressors require more power due to irreversibilities.
### Formula
**W_ideal = m × Cp × T1 × (PR^((gamma-1)/gamma) - 1)**
**W_actual = W_ideal / eta_isentropic**
**T2 = T1 × (1 + (PR^((gamma-1)/gamma) - 1) / eta)**
where PR is the pressure ratio, gamma is the specific heat ratio, and eta is the isentropic efficiency.
Exemple Résolu
Compressing 1 kg/s of air from 300 K with pressure ratio 4, gamma=1.4, eta=80%.
- (gamma-1)/gamma = 0.4/1.4 = 0.2857
- PR^0.2857 = 4^0.2857 = 1.486
- Ideal power = 1 × 1.005 × 300 × (1.486 - 1) = 301.5 × 0.486 = 146.5 kW
- Actual power = 146.5 / 0.80 = 183.2 kW
- T2 = 300 × (1 + 0.486/0.80) = 300 × 1.608 = 482.3 K