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The Quarterly Journal of Mechanics and Applied Mathematics 1979 32(1):63-71; doi:10.1093/qjmam/32.1.63
© 1979 by Oxford University Press
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TRANSONIC LAMINAR BOUNDARY-LAYER FLOW NEAR CONVEX CORNERS

R. J. BODONYI

( Department of Mathematical Sciences, Indiana-Purdue University Indianapolis, Indiana, USA )

A viscous-inviscid interaction is generated when a boundary layer meets a corner. The correct mathematical structure for these interactions at large Reynolds number is given by the asymptotic triple-deck theory developed by Stewartson (1, 2). In this paper the triple-deck equations for transonic flows are solved for a sharp expansion corner and several values of the transonic interaction parameter. The results are shown to be qualitatively the same as those for the supersonic flow case. Furthermore, for small turning angles a linearized analysis shows that the flow is, to leading order, equivalent to that found by Stewartson for the supersonic flow case.


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