A cylindrical wave-maker in liquid of finite depth with an inertial surface (Q1118473)

This paper is concerned with the generation of waves in a liquid of uniform finite depth with an inertial surface composed of uniformly distributed non-interacting floating particles, due to forced symmetric motion prescribed on the surface of an immersed circular vertical wave- maker. The techniques of Laplace transform in time and a suitable Weber transform in the radial co-ordinate are used to solve the problem. It is shown that if the inertial surface is too heavy, time-harmonic disturbance due to the wave-maker has only local influence on the liquid.