These solutions were used to produce the supersonic/hypersonic flow past an Side of an oscillating fiat plate in an otherwise steady uniform supersonic stream. ДЄlso obtained by Hui was a solution for the unsteady flow over the expansion For the simpler case of small amplitude slow oscillation, such a solution for an oscillating supersonic wedge was given by Hui. Hypersonic flow theory that is applicable for thick as well as thin airfoils atДЄrbitrary angle of attack. While the former theory holds for moderate supersonic Mach numbers, the latter for hypersonic Mach numbers, and both for small angle of attackДЄnd thin bodies only, there is evidently a need for a unified supersonic/ It has been studied extensively using potentialДЇlow theory (Miles Van Dyke ) and piston theory (Lighthill ZartarianД®t. In unsteady flow, such as that due to the oscillation of an airfoil, the al., and Mahony ), these basic solutions have alsoД«een combined to yield good approximations for flow past airfoils of more Past a fiat plate and a diamond shaped airfoil. Examples include the exact supersonic flows The basic building blocks whereby steady supersonic/hypersonic flow past sharpД®dged airfoils can be constructed. Wedge flow solution and the Prandtl-Meyer expansion flow solution constitute It is well-known in steady supersonic/hypersonic flow theory that the exact of Applied Mathematics, University of Waterloo, Unified unsteady supersonic/hypersonic theoryД«y W. Journal of Applied Mathematics and Physics (ZAMP)

Double wedge airfoil