May 2014
Intermediate to advanced
1048 pages
34h 57m
English
In sonic and supersonic flows, Mach waves are formed. The local Mach wave angle is called a Mach angle μ, and it is related to the local Mach number via
Each Mach wave causes an infinitesimal turn of the flow and a corresponding infinitesimal change in fluid pressure, temperature, density, and Mach number. Through infinitely many such waves, that is, Mach waves, flow can turn a finite angle and attain a finite change in static pressure, static temperature, static density, and Mach number. The Prandtl–Meyer function
defines an angle (in radians) that a sonic flow has to turn in order to achieve a supersonic Mach number M.
A graphical representation of the Prandtl–Meyer function and the Mach angle is shown.
| M | v (deg) | M | v (deg) | M | v (deg) | (deg) | ||
| 1.0 | 0.00 ... |
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