STUDY OF PLANING HYDRODYNAMICS USING STRIPS OF TRANSVERSELY VARIABLE-PRESSURE

A pressure strip method is developed for the prediction of hydrodynami c forces acting on planing hulls moving on the surface of calm water. Within the frame of linearized potential flow theory, the presence of a planing surface is represented by an assemblage of strips of transve rsely variable pressure placed on the mean free surface. The unknown p ressure distribution on each strip is represented by a sine series wit h unknown coefficients which are determined by solving an integral equ ation relating the pressure distribution to the free-surface elevation underneath the planing hull. Numerical solutions are obtained for the planing of 3-D flat plate and three basic profiles of 2-D planing sur faces, which are taken as the extreme cases of large-aspect-ratio 3-D planing surfaces. The results are compared with experimental data and good agreement is achieved.