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On the shock transition, the hydraulic jump, and vortex breakdown

Hsieh, Din-Yu (1967) On the shock transition, the hydraulic jump, and vortex breakdown. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:HSIrpt85-39

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Abstract

The normal shock, hydraulic jump, and vortex breakdown have a common feature: they are all marked by a transition from a supercritical to a subcritical flow state. These phenomena are due to the nonlinearity of the flow, and it will be shown that viscosity also plays an essential role. This paper demonstrates explicitly how viscosity enters into these flows, The treatment of normal shock served a starting illustration. Then an equation governing the phenomenon of hydraulic jump is derived with the inclusion of the effect of viscosity. It is explicitly shown that supercritical flow is not stable and has to go through a transition to a conjugate subcritical flow state downstream. Similar treatment is also applied to vortex breakdown with largely similar results.


Item Type:Report or Paper (Technical Report)
Additional Information:Office of Naval Research, Department of the Navy, Contract N00014-67-0094-0009. Also NTIS AD0649558.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-67-0094-0009
Subject Keywords:Hydrodynamics; Channel flows; Flow of rotating fluids
Record Number:CaltechAUTHORS:HSIrpt85-39
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:HSIrpt85-39
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7591
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:09 Mar 2007
Last Modified:07 May 2015 05:06

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