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Influence of surface roughness on the transition from regular to Mach reflection in pseudo-steady flows

Published online by Cambridge University Press:  21 April 2006

G. Ben-Dor ,
G. Mazor ,
K. Takayama  and
O. Igra
G. Ben-Dor
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
G. Mazor
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
K. Takayama
Affiliation:
Institute of High Speed Mechanics, Tohoku University, Sendai Japan
O. Igra
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel
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Abstract

The effect of surface roughness on the transition form regualr (RR) to Mach reflection (MR) over straight wedges in pseudo-steady flows was investigated both experimentally and analytically. A model for predicting the RR \rightleftarrows$ MR transition in the (Mi, θw)-plane was developed (Mi is the incident shock wave Mach number and θw is the reflecting wedge angle). Its valdity was checked agnainst experimental results. Since the experimental results are limited to the ranges 1 < Mi < 2 and surface roughness heights of 0 < ε [les ] 0.2 cm, the proposed model is applicalbe to these ranges only. In the proposed model (the boundary-layer displacement-thickness model), the RR \rightleftarrows$ MR transition is related to the boundary - layer thickness which in turn depneds on the surface roughness.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 333 - 356
Copyright
© 1987 Cambridge University Press

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