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Diffraction of a plane shock by an analytic blunt body

Published online by Cambridge University Press:  29 March 2006

John P. Moran  and
William K. Van Moorhem
John P. Moran
Affiliation:
University of Minnesota, Minneapolis
William K. Van Moorhem
Affiliation:
Cornell University, Ithaca, N.Y.
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Abstract

A study is made of the transient flow which results from the impingement of a plane shock on a blunt body. The analysis is based on Taylor-series expansions in the space and time variables of the flow properties and of the shape of the reflected shock. Coefficients of the series are determined numerically so as to satisfy the exact equations of motion and shock jump conditions. Convergence problems are ameliorated by recasting the series into continued fractions. While the analysis does not treat the transition from regular to Mach reflexion, it remains valid for all time in the subsonic region of the flow if the incident shock is sufficiently strong. In any case, it is accurate enough where it is valid to be useful for evaluation of more conventional numerical methods.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 1 , 14 August 1969 , pp. 127 - 136
Copyright
© 1969 Cambridge University Press

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