Hornung, H. G. (1976) Non-equilibrium ideal-gas dissociation after a curved shock wave. Journal of Fluid Mechanics, 74 (1). pp. 143-159. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:HORjfm76a
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Analytic solutions are obtained for non-equilibrium dissociating flow of an inviscid Lighthill-Freeman gas after a curved shock, by dividing the flow into a thin reacting layer near the shock and a frozen region further downstream. The method of matched asymptotic expansions is used, with the product of shock curvature and reaction length as the small parameter. In particular, the solution gives expressions for the reacting-layer thickness, the frozen dissociation level, effective shock values of the frozen flow and the maximum density on a stream-line as functions of free-stream, gas and shock parameters. Numerical examples are presented and the results are compared with experiments.
|Additional Information:||Copyright © 1976 Cambridge University Press. Reprinted with permission. (Received 2 December 1974 and in revised form 30 September 1975) This work was supported by an Alexander von Humboldt fellowship at the Technische Hochschule Darmstadt. I wish to thank the Humboldt foundation for its generous support. It is with great pleasure that I thank Professor Becker and members of his group at the Institut für Mechanik for many discussions and for the pleasant surroundings provided for me. The interferogram was obtained in a shock tunnel financed by the Australian Research Grants Committee, whose support is gratefully acknowledged.|
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