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Interaction of oblique shock waves and planar mixing regions

Published online by Cambridge University Press:  26 April 2006

D. R. Buttsworth
D. R. Buttsworth
Affiliation:
Department of Mechanical Engineering, University of Queensland, Australia Present address: Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK.
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Abstract

An analysis for predicting the interaction of a steady oblique shock wave and a planar mixing region is presented. Specifically, an equation for the shock curvature was obtained from the shock wave and isentropic wave difference equations which govern the shock transmission within a region of varying Mach number. The effects of nonuniform gas composition within the mixing region were assessed using a similar treatment; however, the wave equations were expanded in terms of a varying ratio of specific heats instead of a varying Mach number. An expression for the shock-induced vorticity due to velocity and density gradients within the mixing region was also obtained. This expression provides a means of estimating the possible mixing augmentation induced in various shock wave-mixing region interactions. When the velocity and density gradients within the mixing region oppose each other, it is demonstrated that the pre-shock vorticity may be attenuated by the shock. Applications of the analysis are discussed with reference to specific examples involving mixing augmentation and shock oscillation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 306 , 10 January 1996 , pp. 43 - 57
Copyright
© 1996 Cambridge University Press

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