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Published February 2010 | Published
Journal Article Open

Deriving Features of Reacting Hypersonic Flow from Gradients at a Curved Shock

Abstract

The shock jump relations for gradients of flow variables are presented in the case of a uniform steady freestream with a curved shock that may trigger an endothermic or exothermic chemical reaction. The rich information that can be obtained from these is used in order to derive field information for flow variables as well as details about the sonic line. This presentation collects, reviews, and extends work that has been published previously in various places. Comparisons with experiment and with numerical computation are given in some cases. The gradient-jump relations are likely to be useful for higher-order numerical schemes that use shock fitting.

Additional Information

© 2008 American Institute of Aeronautics and Astronautics, Inc. Presented as Paper 4340 at the Theoretical Fluid Mechanics Conference, Seattle, WA, 23–26 June 2008; received 23 July 2008; revision received 25 July 2008; accepted for publication 7 November 2008. This work has benefitted greatly from discussions with my colleague Joseph E. Shepherd and with graduate students to whom I have taught some of the material over many years and on three continents.

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Created:
August 19, 2023
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October 20, 2023