Wave loads by an oscillating water column in presence of bottom-mounted obstacle in the channel of finite width

Abstract

In the present study, we solved the problem of diffraction in water waves with consists of a pair of vertical cylinders in a channel having finite width. It consists of a partially submerged floating hollow cylinder place above a fixed coaxial bottom-mounted obstacle. With the help of matched eigenfunction expansion, channel multipole and variables separation methods, the analytical expression of potentials are obtained. Using these analytical expressions of diffracted velocity potentials, we can derive the expressions of exciting forces exerted by the cylinders. The influence of various parameters viz draft of the hollow cylinder, radius of the cylinders, the gap between the cylinders and the width of the channel walls on the exciting forces have been investigated. The results have been validated by comparing our results with available results. All the observations are validated through suitable graphs.