Abstract

A three-dimensio nal steady-state mathematical model of a cable used to suspend a sonar body from a helicopter is derived. Two-dimensional power and log laws are assumed for the wind above the sea, and a three-dimensional Ekman spiral is assumed for the sea current. Solutions are obtained in dimensionless form for a length of cable totally immersed in any Newtonian fluid, and may therefore be applied to a number of practical cable problems. Various approximations are made in order to obtain an analytical solution for a uniform fluid velocity. For nonuniform fluid velocities, a procedure is developed whereby the velocity function is replaced by an equivalent mean value in order that the approximate analytical solution for a uniform fluid velocity may be used.

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