HAVA Laboratory Tools

Compressible Flow Calculator

Interactive gas-dynamics relations for course work and preliminary analysis. This version includes perfect-gas relations and reacting-air equilibrium species concentrations for high-temperature estimates.

Isentropic Flow Relations

Perfect gas

Gamma, γ Input Mach number T/T₀ p/p₀ ρ/ρ₀ A/A* subsonic A/A* supersonic Mach angle, deg. Prandtl-Meyer angle, deg. Value

Normal Shock Relations

Perfect gas

Non Dimensional Analysis

Gamma, γ Input M₁ M₂ p₂/p₁ ρ₂/ρ₁ T₂/T₁ p₀₂/p₀₁ p₁/p₀₂ Value

Dimensional Analysis

M₁ Gamma, γ p₁, Pa T₁, K

Reacting Normal Shock

Hansen equilibrium

M₁ T₁, K p₁, Pa

Oblique Shock Relations

Perfect gas θ-β-M

Non Dimensional Analysis

Gamma, γ M₁ θ (turn angle), deg.

Dimensional Analysis

Gamma, γ M₁ p₁, Pa T₁, K θ (turn angle), deg.

Reacting Oblique Shock

Hansen equilibrium

M₁ T₁, K p₁, Pa θ (turn angle), deg.

Speed of Sound

a = sqrt(γRT)

Gas Air CO₂ Argon N₂ O₂ Helium Custom Gamma, γ R, J/(kg K) MW, kg/kmol T, K

Reacting Air Species

Hansen equilibrium

T, K p, Pa

Air composition is N₂/O₂ = 80/20 by feed mole fraction. Species are reported as mole fraction, mass fraction, and mol/m³.
X is mole fraction, Y is mass fraction, and Z is the reacting-air compressibility factor.