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contributor authorWang, C. Y.
date accessioned2022-02-04T14:14:50Z
date available2022-02-04T14:14:50Z
date copyright2020/03/05/
date issued2020
identifier issn0098-2202
identifier otherfe_142_06_064502.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4273265
description abstractThe classical theory of small amplitude shallow water waves is applied to regular polygonal basins. The natural frequencies of the basins are related to the eigenvalues of the Helmholtz equation. Exact solutions are presented for triangular, square, and circular basins while pentagonal, hexagonal, and octagonal basins are solved, for the first time, by an efficient Ritz method. The first five eigenvalues of each basin are tabulated and the corresponding mode shapes are discussed. Tileability conditions are presented. Some modes (eigenmodes) can be tiled into larger domains.
publisherThe American Society of Mechanical Engineers (ASME)
titleSloshing in Regular Polygonal Basins—Frequencies, Modes, and Tileability
typeJournal Paper
journal volume142
journal issue6
journal titleJournal of Fluids Engineering
identifier doi10.1115/1.4046189
page64502
treeJournal of Fluids Engineering:;2020:;volume( 142 ):;issue: 006
contenttypeFulltext


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