Prandtl-Meyer Expansion Calculator
Free calculate expansion angle and flow deflection in supersonic flow using the prandtl-meyer function.
Input Parameters
Must be ≥ 1 (supersonic)
Must be ≥ M₁
Air: 1.4, Helium: 1.67
Results
Enter Mach numbers to calculate
Prandtl-Meyer Function
Prandtl-Meyer Function
ν(M) = √((γ+1)/(γ-1)) × arctan(√((γ-1)/(γ+1) × (M²-1))) - arctan(√(M²-1))
Where:
- • ν = Prandtl-Meyer function (degrees)
- • M = Mach number
- • γ = specific heat ratio
Expansion Angle
θ = ν(M₂) - ν(M₁)
Flow deflection angle during expansion