Compressible Aerodynamics Calculator
Calculate Mach number, shockwave properties, nozzle flows, and more for compressible fluid dynamics analysis
Flow Regime
Subsonic
M < 0.8
Transonic
0.8 ≤ M ≤ 1.2
Supersonic
1.2 < M < 5
Hypersonic
M ≥ 5
M = 0.00
Compressible Flow Results
M
Mach Number
-
P/P₀
Pressure Ratio
-
T/T₀
Temperature Ratio
-
ρ/ρ₀
Density Ratio
-
A/A*
Area Ratio
-
Z
Compressibility Factor
-
Normal Shock Relations
Downstream Mach (M₂)
-
Pressure Ratio (P₂/P₁)
-
Temperature Ratio (T₂/T₁)
-
Density Ratio (ρ₂/ρ₁)
-
Stagnation Pressure Ratio (P₀₂/P₀₁)
-
Entropy Change (Δs/R)
-
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Flow Choking Detected
The flow has reached Mach 1 at the throat. Further decrease in back pressure will not increase mass flow rate.