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

Published online by Cambridge University Press:  28 March 2006

T. Yao-Tsu Wu Wu  and
D. P. Wang
T. Yao-Tsu Wu Wu
Affiliation:
Kármán Laboratory, California Institute of Technology
D. P. Wang
Affiliation:
Kármán Laboratory, California Institute of Technology
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Abstract

In Part 1 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 are plates. For these cases the present theory is found to be in good agreement with the experimental results available.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 18 , Issue 1 , January 1964 , pp. 65 - 93
Copyright
© 1964 Cambridge University Press

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