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Transition to Mach reflexion of shock waves in steady and pseudosteady flow with and without relaxation

Hornung, H. G. and Oertel, H. and Sandeman, R. J. (1979) Transition to Mach reflexion of shock waves in steady and pseudosteady flow with and without relaxation. Journal of Fluid Mechanics, 90 (3). pp. 541-560. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20170801-105123667

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Abstract

Experiments were conducted in the free-piston shock tube and shock tunnel with dissociating nitrogen and carbon dioxide, ionizing argon and frozen argon to measure the transition condition in pseudosteady and steady flow. The transition condition in the steady flow, in which the wall was eliminated by symmetry, agrees with the calculated von Neumann condition. In the real gases this calculation assumed thermo-dynamic equilibrium after the reflected shock. In the pseudosteady flow of reflexion from a wedge the measured transition angle lies on the Mach-reflexion side of the calculated detachment condition by an amount which may be explained in terms of the displacement effect of the boundary layer on the wedge surface. A single criterion based on the availability of a length scale at the reflexion point explains the difference between the pseudosteady and steady flow transition condition and predicts a hysteresis effect in the transition angle when the shock angle is varied during steady flow. No significant effects on the transition condition due to finite relaxation length could be detected. However, new experiments in which interesting relaxation effects should be evident are suggested.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/S002211207900238XDOIArticle
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/transition-to-mach-reflexion-of-shock-waves-in-steady-and-pseudosteady-flow-with-and-without-relaxation/86FBBADE634E4EC21CD21EE119BBA935PublisherArticle
Additional Information:© 1979 Cambridge University Press. Received 8 May 1978. The project was given financial support by the Australian Research Grants Committee and by Deutsche Forschungs Gemeinschaft, which is gratefully acknowledged. The work also benefited from discussions with Professor E. Becker during his visit to ANU. Thanks are due to R. French, V. Adams and K. Smith for their technical support.
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Australian Research Grants CommitteeUNSPECIFIED
Deutsche Forschungsgemeinschaft (DFG)UNSPECIFIED
Record Number:CaltechAUTHORS:20170801-105123667
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170801-105123667
Official Citation:Hornung, H., Oertel, H., & Sandeman, R. (1979). Transition to Mach reflexion of shock waves in steady and pseudosteady flow with and without relaxation. Journal of Fluid Mechanics, 90(3), 541-560. doi:10.1017/S002211207900238X
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79679
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:01 Aug 2017 19:08
Last Modified:01 Aug 2017 19:08

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