Hydrodynamic coefficients of some swaying and rolling cylinders of arbitrary shape

Abstract

Two dimensional hydrodynamic properties are computed for cylinders swaying and rolling in the free surface of an infinite ideal fluid. The cylinders may be of arbitrary cross section. A potential flow solution is employed using multipole expansion and conformal mapping techniques. Results are given for triangular, rectangular, chine, fine and bulbous sections and, wherever it is possible, comparisons are made with previous theoretical and experimental findings for these section shapes. To illustrate the versatility of the method, a pair of rudimentary bilge keels are attached to a ship-shaped section and the influence on the hydrodynamic properties is investigated.