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Analytical and numerical study of the near flow field and shape of the Mach stem in steady flows

Published online by Cambridge University Press:  21 December 2005

LIAN-HUA TAN ,
YU-XIN REN  and
ZI-NIU WU
LIAN-HUA TAN
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China
YU-XIN REN
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China
ZI-NIU WU
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China
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Abstract

The flow fields behind the Mach stem in steady-state Mach reflections are analysed theoretically and numerically. When the angle between the slipline and the reflecting plane is sufficiently small, the subsonic flow just behind the Mach stem can be described by the isentropic small-disturbance equation. Using this analytical model, a very simple algebraic expression for the shape of the Mach stem is obtained. It is found that the Mach stem is well-approximated by a circular arc with very small curvature. The prediction by the model agrees very well with numerical computations.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 546 , 10 January 2006 , pp. 341 - 362
Copyright
© 2005 Cambridge University Press

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