International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 3, Pages 535-541

Ring source potentials in two superposed fluids separeted by an inertial surface

B. N. Mandal and Krishna Kundu

Department of Applied Mathematics, Calcutta University, 92, A.P.C. Road, Calcutta 700009, India

Received 23 May 1986; Revised 4 November 1986

Copyright © 1988 B. N. Mandal and Krishna Kundu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The study of waves at the interface of two superposed fluids due to the presence of a vertical body of revolution requires the consideration of potentials due to horizontal ring sources submerged in one of the fluids. In this paper, the velocity potentials in the two fluids are computed due to a horizontal ring of sources of time-dependent strength submerged in either of the fluids of a two-fluid medium that are separated by an inertial surface.