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On the lengthscales of laminar shock/boundary-layer interaction

Published online by Cambridge University Press:  26 April 2006

Edgar Katzer
Edgar Katzer
Affiliation:
Institute of Theoretical Fluid Mechanics, DLR-AVA, Bunsenstr. 10, D-3400 Göttingen, FRG Present address: Institute for Informatics and Applied Mathematics, Christian-Albrechts University, D-2300 Kiel, Fedral Republic of Germany.
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Abstract

The interaction of an oblique shock with a laminar boundary layer on an adiabatic flat plate is analysed by solving the Navier-Stokes equations numerically. Mach numbers range from 1.4 to 3.4 and Reynolds numbers range from 105 to 6 × 105. The numerical results agree well with experiments. The pressure distribution at the edge of the boundary layer is proposed as a sensitive indicator of the numerical resolution. Local and global properties of the interaction region are discussed. In the vicinity of the separation point, local scaling laws of the free interaction are confirmed. For the length of the separation bubble a new similarity law reveals a linear influence of the shock strength. A comparison with the triple-deck theory shows that, for finite Reynolds numbers, the triple deck tends to overestimate the lengthscale substantially and that this discrepancy increases with increasing Mach number. The triple-deck model of displacing the main part of the boundary layer is substantiated by the numerical results. An asymmetrical structure within the separation bubble causes a characteristic distribution of the wall shear stress.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 206 , September 1989 , pp. 477 - 496
Copyright
© 1989 Cambridge University Press

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