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Viscous flow over a cone at moderate incidence. Part 2. Supersonic boundary layer

Published online by Cambridge University Press:  29 March 2006

T. C. Lin  and
S. G. Rubin
T. C. Lin
Affiliation:
Polytechnic Institute of Brooklyn, Preston R. Bassett Research Laboratory, Farmingdale, New York
S. G. Rubin
Affiliation:
Polytechnic Institute of Brooklyn, Preston R. Bassett Research Laboratory, Farmingdale, New York
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Abstract

A finite-difference method recently developed to study three-dimensional viscous flow is applied here to the supersonic boundary layer on a sharp cone at moderate angles of incidence (α/θ [les ] 2, angle of attack α, cone half-angle θ). The present analysis differs from previous investigations of this region in that (i) boundary-layer similarity is not assumed, (ii) the system of governing equations incorporates lateral diffusion and centrifugal force effects, and (iii) an improved numerical scheme for three-dimensional viscous flows of the type considered here is used. Solutions are shown to be non-similar at the separation streamline with local shear-layer formation. Detailed flow structure, including surface heat transfer, boundary-layer profiles and thickness, and the formation of swirling pairwise symmetric vortices, associated with cross-flow separation, are obtained. Good agreement is obtained between the present theoretical results and the existing experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 3 , 17 July 1973 , pp. 593 - 620
Copyright
© 1973 Cambridge University Press

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