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A Wake Model for Free-Streamline Flow Theory, Part II. Cavity Flows Past Obstacles of Arbitrary Profile

Wu, T. Yao-tsu and Wang, D. P. (1963) A Wake Model for Free-Streamline Flow Theory, Part II. Cavity Flows Past Obstacles of Arbitrary Profile. California Institute of Technology , Pasadena, CA. (Unpublished)

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In Part I of this paper a free-streamline wake model was introduced to treat the fully and partially developed wake flow or cavity flow past an oblique flat plate. This theory is generalized here to investigate the cavity flow past an obstacle of arbitrary profile at an arbitrary cavitation number. Consideration is first given to the cavity flow past a polygonal obstacle whose wetted sides may be concave towards the flow and may also possess some gentle convex corners. The general case of curved walls is then obtained by a limiting process. The analysis in this general case leads to a set of two functional equations for which several methods of solution are developed and discussed. As a few typical examples the analysis is carried out in detail for the specific cases of wedges, two-step wedges, flapped hydrofoils, and inclined circular arc plate. For these cases the present theory is found in good agreement with the experimental results available.

Item Type:Report or Paper (Technical Report)
Additional Information:This work was supported by the U. S. Office of Naval Research under Contract Nonr 220 (35). The assistance rendered by Mrs. Z. Harrison, Miss C. Lin and Mrs. M. Goodwin in preharing the manuscript is greatly appreciated.
Group:Hydrodynamics Laboratory
Funding AgencyGrant Number
Office of Naval Research (ONR)Nonr 220 (35)
Record Number:CaltechAUTHORS:HydroLabRpt97-4
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:426
Deposited By: Archive Administrator
Deposited On:17 Jun 2005
Last Modified:02 Oct 2019 22:33

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