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A Perturbation Theory for Unsteady Cavity Flows


Wang, Duen-Pao (1962) A Perturbation Theory for Unsteady Cavity Flows. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/NKPW-4612.


This investigation deals with a perturbation theory for unsteady cavity flows in which the time-dependent part of the flow may be considered as a small perturbation superimposed on an established steady cavity flow of an ideal fluid, the gravity effect being neglected in this study. In order to make a comparison between the various existing steady-cavity-flow models when applied to unsteady motions, some of these models have been employed to evaluate the small time behavior of, and the initial reaction to an unsteady disturbance. Furthermore, the mechanism by which the cavity volume may be changed with time is studied and the initial hydrodynamic force resulting from such change is calculated.

The second kind of unsteady cavity flow problems treated here is characterized by the fact that the disturbances are limited to be small for all time instants. Based on a systematic linearization with respect to the steady basic flow, a general perturbation theory for unsteady cavity flows is formulated. From this perturbation theory the generation of surface waves along the cavity boundary is revealed, much in the same way as the classical gravity waves in water, except with the centrifugal acceleration due to the curvature of the free-streamlines in the basic flow playing the role of an equivalent gravity effect.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Engineering Science)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Wu, Theodore Yao-tsu
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1962
Record Number:CaltechTHESIS:08192011-142844454
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6610
Deposited By: Dan Anguka
Deposited On:19 Aug 2011 22:48
Last Modified:21 Dec 2023 22:21

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