Ring source potential outside a vertical co-axial circular cylinder in a liquid of finite depth with an inertial surface

Abstract

The velocity potential due to a submerged circular ring source of time-dependent strength outside an immersed vertical co-axial circular cylinder is obtained for a liquid of finite depth bounded by an inertial surface composed of uniformly distributed noninteracting floating particles. The modified Weber transform formula as used in [1] in the radial coordinate has been employed to obtain the transformed velocity potential after using Laplace transform in time. For time-harmonic source strength, the steady-state development shows that the progressive waves generated by the ring source in the presence of the cylinder cannot propagate if the inertial surface is too heavy.