Author(s)

B. Widodo, X. Wen & D.B. Ingham

Abstract

The problem of free surface fluid flow which is induced by a submerged line sink in a three-layer fluid, incorporating the effects of both gravity and surface tension at infinite Froude numbers, is considered. Assuming steady, ideal and irrotational fluid flow, the boundary integral equations, which are based on the Riemann Hilbert technique for mixed boundary value problems of an analytical function, are derived and solved numerically for infinite Froude numbers on each free surface and for different values of the Weber number. In order to obtain the free surface profiles with surface tension, and for which there are no waves, when the Weber number is set to be greater than zero then the grid siz

Keywords