Study on the Non-Linear Free Surface Problem Around Bow

Abstract

The general equation of flow near the free surface is derived by considering up to the 2nd order terms of velocity components. It is given by the non-linear 2nd partial differential equation, whose mathematical type is classified by the sign of its discriminant.
By solving the discriminant approximately, clear explanation of the breakdown of bow wave in deep water, which is important for a full hull form, can be given. The assumptions used in the calculation are supported by the model experiments of Inuid Model S. 201.
According to the above test results the law of conservation of energy is maintained by the occurrence of vorticity with lateral axis during the breakdown of bow wave. Thus the mechanism of the occurrence of the wave breaking resistance becomes clear.