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

Abstract

The velocity potential due to a submerged horizontal circular ring source of time-dependent strength outside an Immersed vertical coaxial circular cylinder is derived for a liquid with an inertial surface. A reduction procedure is used to obtain the transformed potential after using Laplace transform in time. For time-harmonic source strengths, the steady-state development demonstrates that the progressive waves originating from the ring source cannot propagate in the inertial surface is too heavy.