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Three-dimensional shock wave reflection transition in steady flow

Published online by Cambridge University Press:  06 November 2018

Divek Surujhlal Open the ORCID record for Divek Surujhlal [Opens in a new window]  and
Beric W. Skews Open the ORCID record for Beric W. Skews [Opens in a new window]
Divek Surujhlal*
Affiliation:
Flow Research Unit, Department of Mechanical, Industrial and Aeronautical Engineering, University of the Witwatersrand, Braamfontein, PO WITS, 2050, South Africa
Beric W. Skews
Affiliation:
Flow Research Unit, Department of Mechanical, Industrial and Aeronautical Engineering, University of the Witwatersrand, Braamfontein, PO WITS, 2050, South Africa
*
†Email address for correspondence: [email protected]
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Abstract

Three-dimensional shock wave reflection comprises flow physics that is significantly different from the well-documented two-dimensional cases in a number of aspects. The most important differentiating factor is the sweep of the shock system. In particular, this work examines the nature of flow fields in which there is a transition of shock reflection configuration in three-dimensional space. The flow fields investigated have been made to exist in the absence of edge effects influencing the shock interaction and transition, as found previously to exist in conventional double-wedge studies. In general, the shock configurations are those with central regular and peripheral Mach reflection portions. It is shown that the sweep angle of the portions on either side of the transition point is subject to a cusp, as per an analytical model that is developed. This is confirmed with the use of numerical models with additional evidence provided by experimental results using oblique shadow photography. Further application of the principles of three-dimensional shock analysis and those pertaining to the sweep cusp model yield important insights regarding the overall shock geometry and that at transition.

JFM classification

Aerodynamics: Aerodynamics Compressible Flows: Compressible Flows Compressible Flows: Shock waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 858 , 10 January 2019 , pp. 565 - 587
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Copyright
© 2018 Cambridge University Press 

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