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A weak shock wave reflection over wedges
Authors:A Sasoh  K Takayama  T Saito
Institution:(1) Shock Wave Research Center, Institute of Fluid Science, Tohoku University, 2-1-1 Katahira, Aoba, 980 Sendai, Japan;(2) Cray Research Japan Co., Ichiban Cho, Chiyoda, Tokyo, Japan
Abstract:When a weak shock wave reflects from wedges its reflection pattern does not appear to be a simple Mach reflection. This reflection pattern is known to be von Neumann Mach reflection in which a Mach stem can not necessarily be straight. In this paper the local change of the Mach stem curvature was experimentally and numerically investigated. A distinct triple point, at which the curvature becomes infinite as appears in a simple Mach reflection, was not observed but the Mach stem curvature became a maximum between foot of the Mach stem and a point, P1, at which an incident shock met with a reflected shock. Maximum curvature point P2 and P1 do not coincide for small wedge angles and tend to merge over a certain wedge angle. Experimental results agreed with numerical results. The trajectory angle of P2 was found to be expressed well by Whitham's shock-shock angle.This article was processed using Springer-Verlag TEX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society.
Keywords:von Neumann paradox  Weak shock reflection  Shock-shock angle  Mach reflection  Mach stem curvature
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