Prandtl–Meyer function
Prandtl–Meyer function describes the angle through which a flow can turn isentropically for the given initial and final Mach number. It is the maximum angle through which a sonic (M = 1) flow can be turned around a convex corner. For an ideal gas, it is expressed as follows,
where is the Prandtl–Meyer function, is the Mach number of the flow and is the ratio of the specific heat capacities.
By convention, the constant of integration is selected such that
As Mach number varies from 1 to , takes values from 0 to , where
For isentropic expansion, | |
For isentropic compression, | |
where, is the absolute value of the angle through which the flow turns, is the flow Mach number and the suffixes "1" and "2" denote the initial and final conditions respectively.
See also
References
- Liepmann, Hans W.; Roshko, A. (2001) [1957]. Elements of Gasdynamics. Dover Publications. ISBN 0-486-41963-0.
This article is issued from Wikipedia - version of the 10/16/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.