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Analogy Between Surface Shock Waves in a Liquid and Shocks in Compressible Gases: Experimental Study of Hydraulic-Jump Interactions

Crossley, H. E., Jr. (1949) Analogy Between Surface Shock Waves in a Liquid and Shocks in Compressible Gases: Experimental Study of Hydraulic-Jump Interactions. California Institute of Technology , Pasadena, CA. (Unpublished)

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It has been known for some time that an analogy exists between the flow of a liquid with a free surface and the flow of a compressible gas. A less accurate analogy has been shown to obtain between hydraulic jumps and compression shocks. The interaction of shocks can occur in two forms; the regular or two-shock configuration and the Mach or three-shock configuration. The latter configuration is not yet completely understood, either in the case of hydraulic jumps in a free-surface liquid or in the case of shocks in a compressible gas. This experimental study was primarily concerned with the Mach interactions of hydraulic jumps. The conclusions of this study are: (a) there is a definite disagreement between experiment and existing theory; (b) a depth discontinuity, or wave, rather than a velocity discontinuity separates the region behind the Mach wave from the region behind the reflected wave; (c) there is evidence that, for interactions of weak hydraulic jumps, there is a deviation from constant depth between waves; (d) the Mach wave is convex for the interaction of the stronger hydraulic jumps, but is concave for the interaction of weak hydraulic jumps; (e) measurements should not be made so as to allow for curvature of the Mach without considering the curvature of the incident and reflected waves in the neighborhood of the triple point.

Item Type:Report or Paper (Technical Report)
Additional Information:A Report on Research Conducted Under Contract with the Office of Naval research and the Bureau of Ordnance of the Department of the Navy. Study Sponsored by Navy Contracts NOrd 9612 and NR-062-059. Report No. N-54.1. This study was jointly supported by the Fluid Mechanics Branch of the Office of Naval Research and the Research and Development Section of the Navy Bureau of Ordnance. This study was proposed by Professor M. S. Plesset, whom the author wishes to thank for advice and helpful discussions. The author is indebted to F. R. Gilmore for his assistance with the theory, and to the personnel of the Hydrodynamics Laboratory for their helpful cooperation.
Group:Hydrodynamics Laboratory
Funding AgencyGrant Number
Department of the Navy Bureau of OrdnanceNOrd 9612
Office of Naval Research (ONR)NR-062-059
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Other Numbering System NameOther Numbering System ID
Hydrodynamics Laboratory81
Record Number:CaltechAUTHORS:20150529-110331320
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:57904
Deposited On:29 May 2015 18:22
Last Modified:03 Oct 2019 08:30

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