Some Notes on the Theory of Higher Order Wave-making Resistance : 1st Report-Wave-making Resistance in Steady Flow

Abstract

The theory of higher order wave-making resistace of Michell type ship were developed by Sisov, Maruo and Wehausen etc... In this report, the relationship between the theories are discussed and the velocity potentials and the formulas of the wave-making resistance obtained there are investigated in various phases. The results clarified that Sisov-Maruo theory is based on the analytical continuation of the boundary conditions on wave surface and ship surface to those on the free surface of the still water and the center plane of the ship, respectively, and hence the boundary condition of the ship surface above the free surface of the still water cannot contribute to the solution. It is also shown that the term of the line integral corresponding to the water line is useless. The above is recognized from the fact that, while the formulas of the wave-making resistance derived by the method of pressure integral and momentum theory coincide with each other in case of the velocity potential without the line integral, they do not in case of that with the line integral.