Wave Structure Interaction Problem on an Immersed Prolate Spheroid in the Presence of Surface Tension
摘要
The present study focuses on wave structure interaction problem of a stationary submerged prolate spheroid in water of infinite depth when the effect of surface tension on the free surface is included. The formulation is established on employing multipole expansion method based on Havelock’s spheroid theorem (1952). A prolate spheroidal coordinate system is introduced to utilize the symmetry of the body. An approximate form of velocity potential in prolate spheroidal coordinates is thus obtained to determine hydrodynamic loads (both surge and heave forces) exerted on a fixed spheroid exposed to monochromatic time-harmonic incident waves. Magnitudes of exciting forces have been plotted against wave numbers by varying surface tension, depth of submergence and eccentricity of the spheroidal body. The current results are verified with the results already existing in the literature, which implies the accuracy of the method presented here. It is noticed that presence of surface tension plays a pivotal role in the present study.