The distribution of singularities kinematically equivalent to a moving hull in the presence of a free surface

Abstract

This paper is an analysis of the properties of different singularities distributed over the surface of a partially immersed hull. The wave field associated with these distributions is characterized by a function H(k, θ), which identifies with Kochin’s function only when the hull is completely immersed.

The coefficient of wave resistance associated with the modified Kochin’s function H(k, θ) cancels out as F⁶ when the Froude number F goes to zero, and that happens whatever the nature of the singularities distributed over a partially immersed hull.