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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 (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:HydroLabRpt97-7

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Abstract

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-22O(35). Reproduction in whole or in part is permitted for any purpose of the United States Government.
Group:Hydrodynamics Laboratory
Record Number:CaltechAUTHORS:HydroLabRpt97-7
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:HydroLabRpt97-7
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:401
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:09 Jun 2005
Last Modified:07 May 2015 15:18

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