Linearized Theory of a Two-Dimensional Planing Flat Plate in a Channel of Finite Depth - I

Linearized free-streamline theory is used to calculate the spray-sheet thickness and lift-slope for a flat plate, cavitating, two-dimensional hydrofoil in a channel of finite depth with an upper free surface and lower boundary partly free and partly rigid. Only the case of zero cavitation number is considered. Some measurements were made of the submergence of a hydrofoil of four inches chord beneath the undisturbed free surface at velocities of 12 and 18ft./sec. These agree with the trends of the theory but not with the magnitudes, the submergence always being greater than that predicted by the theory.