कंप्रेसर शक्ति कैलकुलेटर — सूत्र

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.

हल किया गया उदाहरण

Compressing 1 kg/s of air from 300 K with pressure ratio 4, gamma=1.4, eta=80%.

  1. (gamma-1)/gamma = 0.4/1.4 = 0.2857
  2. PR^0.2857 = 4^0.2857 = 1.486
  3. Ideal power = 1 × 1.005 × 300 × (1.486 - 1) = 301.5 × 0.486 = 146.5 kW
  4. Actual power = 146.5 / 0.80 = 183.2 kW
  5. T2 = 300 × (1 + 0.486/0.80) = 300 × 1.608 = 482.3 K