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The Quarterly Journal of Mechanics and Applied Mathematics 1982 35(2):265-277; doi:10.1093/qjmam/35.2.265
© 1982 by Oxford University Press
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SUPERCRITICAL TRANSONIC TRAILING-EDGE FLOW

R. J. BODONYI and A. KLUWICK

( Department of mathematical Sciences, Indian University0Purdue University at Indianaolis Indianapolis, Indiana 46205, USA
Technische Universitat Wien A-1040 Vienna, Austria )

As shown by Stewartson (1) a viscous-inviscid interaction is generated in the vicinity of the trailing edge of a flat plate. The correct mathematical structure of the solution in the limit as the Reynolds number R<-{infty} has been given by Stewartson (1) and Messiter (2) for incompressible flow and by Daniels (8) for supersonic flow. It is the aim of the present paper to extend these results into the transonic flow regime. However, due to the numerical difficulties encountered when dealing with mixed flow problems we shall restrict ourselves to the case that the external flow is never subsonic. The fundamental boundary-value problem is studied both analytically and numerically for several values of the transonic interaction parameter.


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