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Swimming of a Flexible Hydrofoil near a Free Surface
Author(s) -
Reece J. W.,
Siekmann J.
Publication year - 1964
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19640441205
Subject(s) - thrust , surface (topology) , free surface , ideal (ethics) , compressibility , mechanics , zero (linguistics) , fish <actinopterygii> , waves and shallow water , classical mechanics , expression (computer science) , physics , perfect fluid , geometry , geology , mathematics , computer science , philosophy , linguistics , epistemology , fishery , biology , thermodynamics , programming language
This paper represents some of the results obtained from a study which extended an exact linearized potential theory to include the problem of the thrust generated by an oscillating, flexible, flat, two‐dimensional plate of zero thickness moving near the free surface of an ideal incompressible fluid. Of particular interest is the applicability of the model to the problem of a thin flat fish (such as rays) swimming near the surface of a body of water. The theoretical expression for the thrust is presented and it is shown to reduce to that obtained previously by a different method for the case of swimming at an infinite depth. Numerical results are given for swimming at both shallow and infinite depths.