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A wake model for free-streamline flow theory. Part 2. Cavity flows past obstacles of arbitrary profile

Wu, T. Yao-Tsu and Wang, D. P. (1964) A wake model for free-streamline flow theory. Part 2. Cavity flows past obstacles of arbitrary profile. Journal of Fluid Mechanics, 18 (1). pp. 65-93. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:WUTjfm64

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Abstract

In Part 1 of this paper a free-streamline wake model mas 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 funnctional equations for which several methods of solutioii are developed and discussed. As a few typictbl examples the analysis is carried out in detail for the specific cases of wedges, two-step wedges, flapped hydrofoils, and inclined circular arc plates. For these cases the present theory is found to be in good agreement with the experimental results available.


Item Type:Article
Additional Information:"Reprinted with the permission of Cambridge University Press." (Received 6 June 1963). This work was supported by the U.S. Office of Naval Research under Contract Nonr 220 (35).
Record Number:CaltechAUTHORS:WUTjfm64
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:WUTjfm64
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:349
Collection:CaltechAUTHORS
Deposited By: Theodore Yao-tsu Wu
Deposited On:05 Jun 2005
Last Modified:26 Dec 2012 08:39

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