Prandtl—Meyer Expansion

Abstract

This table of Prandtl—Meyer Angle as a function of Mach Number is calculated from the single equation:

$${\rm{Prandtl - Meyer}}\;{\rm{Angle = }}\sqrt {\left( {{{\gamma + 1} \over {\gamma - 1}}} \right)} {\tan ^{ - 1}}\sqrt {\left\{ {{{\gamma - 1} \over {\gamma + 1}}({M^2} - 1)} \right\}} {\tan ^{ - 1}}\sqrt {({M^2} - 1)} ({\rm{radians}})$$

((6.1))

(see above diagram)

Direct (Mach Number to Angle) and Inverse (Angle to Mach Number) tables are given on page 91, for a range of Mach Number from I to 5, for intervals of 0.1, and for a range of Angle from 0 to 130 degrees, for intervals of 5 degrees, for γ = 1.400