Singularities in a two-fluid medium separated by an inertial surface

Abstract

Velocity potentials due to the presence of a line source of variable strength in one of the fluids of a two-fluid medium that are separated by an inertial surface composed of uniformly distributed dissonnected materials, are obtained. The study of internal waves at the surface separating the two fluids requires the consideration of such a source in either of the two fluids. If the density of the upper fluid is made zero, known results for a fluid with an inertial surface are recovered.