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Calculation of the added mass of elliptical cylinders in shallow water

Lookup NU author(s): Dr David Clarke

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Abstract

In order to carry out any studies of ship motions, concerning either seakeeping or manoeuvring, it is usually necessary to have knowledge of the added mass of the hull section shapes. In deep water, the added mass can be found using conformal mapping techniques combined with residue calculus, or by means of surface singularity distributions. In shallow water, the need to utilise an infinite number of mirror images, to represent the effects of the seabed and the free surface, precludes the use of the deep-water methods in this case. In a previous paper, the author presented methods to evaluate the added mass of semi-circular sections. In this paper, a quite different but more general technique using Schwarz–Christoffel methods is developed. This technique gives entirely new results for the added mass of elliptical body sections and compares the special case of semi-circular sections with those from the previous paper.

Publication metadata

Author(s): Clarke D

Publication type: Article

Publication status: Published

Journal: Ocean Engineering

Year: 2001

Volume: 28

Issue: 10

Pages: 1361-1381

ISSN (print): 0029-8018

ISSN (electronic): 1873-5258

Publisher: Pergamon

URL: http://dx.doi.org/10.1016/S0029-8018(00)00054-8

DOI: 10.1016/S0029-8018(00)00054-8

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