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General Formulation of a Perturbation Theory for Unsteady Cavity Flows

Wang, D. P. and Wu, T. Yao-tsu (1965) General Formulation of a Perturbation Theory for Unsteady Cavity Flows. California Institute of Technology , Pasadena, CA. (Unpublished)

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The problem of a two-dimensional cavity flow of an ideal fluid with small unsteady disturbances in a gravity free field is considered. By regarding the unsteady motion as a small perturbation of an established steady cavity flow, a fundamental formulation of the problem is presented. It is shown that the unsteady disturbance generates a surface wave propagating downstream along the free cavity boundary, much in the same way as the classical gravity waves in water, only with the centrifugal acceleration owing to the curvature of the streamlines in the basic flow playing the role of an equivalent gravity effect. As a particularly simple example, the surface waves in a hollow potential vortex flow is calculated by using the present theory.

Item Type:Report or Paper (Technical Report)
Additional Information:This work is sponsored in part by the Office of Naval Research of the U. S. Navy, under contract Nonr-220(35). Reproduction in whole or in part is permitted for any purpose of the United States Government.
Group:Hydrodynamics Laboratory
Funding AgencyGrant Number
Office of Naval Research (ONR)Nonr-220(35)
Record Number:CaltechAUTHORS:HydroLabRpt97-7
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:401
Deposited By: Archive Administrator
Deposited On:09 Jun 2005
Last Modified:20 Nov 2020 22:46

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