Equation Map - Prandtl-Meyer

prandtl_meyer_turn

$\nu = \left( \frac{\gamma + 1}{\gamma -1} \right)^{\frac{1}{2}} \tan^{-1} \left[ \frac{\gamma-1}{\gamma+1} (M^2 -1) \right] ^{\frac{1}{2}} - \tan^{-1}(M^2 - 1)^{\frac{1}{2}}$

prandtl_meyer_mach employs an equation solver to return the Mach number in the equation above.

mach_wave_angle

$\mu = \tan^{-1} \left( \frac{1} {(M^2 -1)^{1/2}} \right)$