Free-Surface Effects for Yawed Surface-Piercing Plates

Abstract

The problem of a yawed surface-piercing flat plate is solved by applying the slender-body approximation and solving the resulting equations by a finite-difference method. The solution is shown to depend on two parameters & the product of the length Froude number and the square root of the aspect ratio of the plate, and the ratio of the angle of attack to the aspect ratio. Numerical methods are developed with linear, second-order, and nonlinear free-surface conditions. Calculated side force and yawing moment coefficients show good agreement with experimental values near the limit of zero angle of attack. At finite angles of attack, the experimental data exhibit nonlinearities not contained in the present formulation.