SCATTERING OF SURFACE WAVES BY A SUBMERGED CIRCULAR CYLINDER IN A FLUID OF FINITE DEPTH

Abstract

when a wave train is normally invident on a submerged infinitely long cylinder with horizontal axis in a fluid of infinite depth, it is well known that it passes over the cylinder with a change of phase without any change of amplitude and experiences no reflection. But when the depth of fluid idea into account it is shown here that the normally incident wave train does experience reflection and the  reflection coefficient can be asymptotically evaluated for large depth 6 hours of the fluid train and the  series in powers,  starting with 'a' being the radius of the cylinder. For particular values of the wave number and depth of the axis of the cylinder below the mean free surface numarical values of the reflection coefficient are obtained for different values of h/a.