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Topological interpretation of the surface flow visualization of conical viscous/inviscid interactions

Published online by Cambridge University Press:  26 April 2006

B. W. Van Oudheusden ,
C. Nebbeling  and
W. J. Bannink
B. W. Van Oudheusden
Affiliation:
Delft University of Technology, Dept. Aerospace Engineering, Lab. for High Speed Aerodynamics, PO Box 5058, 2600 GB Delft, The Netherlands
C. Nebbeling
Affiliation:
Delft University of Technology, Dept. Aerospace Engineering, Lab. for High Speed Aerodynamics, PO Box 5058, 2600 GB Delft, The Netherlands
W. J. Bannink
Affiliation:
Delft University of Technology, Dept. Aerospace Engineering, Lab. for High Speed Aerodynamics, PO Box 5058, 2600 GB Delft, The Netherlands
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Abstract

The asymptotic flow structure is considered for a viscous–inviscid conical interaction, in particular that between a swept shock wave and a boundary layer. A flow model is devised based on the three-layer interaction concept. Assuming conicity of the inviscid flow regions, a viscous layer structure is established that is compatible with the inviscid outer flow, and which produces a geometrically conical surface flow pattern. This result is obtained from a dimensional analysis, which reveals similarity of the viscous layer in cross-flow planes at different radial distances from the conical origin. The results of this analysis provide a tool for the quantitative interpretation of surface flow visualizations in terms of the related topological structure of the flow in the cross-flow plane. This method is illustrated by application to the surface flow visualization of a Mach 3 shock-wave/boundary-layer interaction.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 316 , 10 June 1996 , pp. 115 - 137
Copyright
© 1996 Cambridge University Press

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