Hydrodynamic forces and moments acting on a body emerging from an infinite plane

An iteration procedure has been developed for calculating the time‐dependent velocity potential on the wetted surface of a prescribed body emerging into a fluid from an infinite, moving plane at an arbitrary angle of attack. The mathematical singularities encountered in the velocity‐potential computations are removed by exact, analytical means. The classic motion equations of Kelvin–Kirchhoff have been extended for the present case to include the effects of the time‐varying inertia terms. A simple illustrative example, that of a half‐emerged sphere, is given. Numerical values obtained are compared with those of the pressure integration method, and of an exact analytically derived solution. Numerical solutions for a spheroid of fineness ratio 2 with linear and angular velocities emerging from an infinite, moving plane at two different angles, are presented.