Modification of Whitham's ray shock theory for analyzing the reflection of weak shock waves over small wedge angles |
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| Authors: | H Li G Ben-Dor Z Y Han |
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| Institution: | (1) Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer Sheva, Israel;(2) Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui, P. R. China |
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| Abstract: | The weak Mach reflection phenomenon has been analyzed by applying both the shock dynamics approach and the disturbance propagation concept. The analysis which is based on modified Whitham's ray shock theory results in analytical expressions for the triple point trajectory angle, , and the shape of the curved Mach stem, which are functions of the incident shock wave Mach number,M
i, and the reflecting wedge angle,
w. The analytical results were found to be in good agreement with experimental results.This article was processed using Springer-Verlag TEX Shock Waves macro package 1.0 and the AMS fonts, developed by the American Mathematical Society. |
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| Keywords: | Ray shock theory Reflection von Neumann paradox Weak shock |
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