ON THE CONSTRUCTION OF SOURCE POTENTIAL AT THE INTERFACE OF TWO LIQUIDS IN THE PRESENCE OF A VERTICAL CLIFF
A simple and straightforward reduction procedure (which is somewhat different from Packham’s [1] approach) is employed here to find the linear solution for waves progressing, obliquely, towards a rigid vertical cliff in two immiscible liquids. Analytical expression for velocity potentials in each of the two liquids are obtained here, assuming the lower liquid to be of uniform finite depth and the upper liquid to be of infinite height. Various known results are recovered as special cases. The solution for the corresponding problem, assuming the surface tension effect at the interface of the liquids, is also obtained.
linear theory, inviscid liquid, irrotational flow, vertical cliff, source potential.