GUIDED AND UNGUIDED INTERFACIAL SOLITARY WAVES

摘要

This paper deals with progressing solitary waves at the interface of two superimposed fluids of different densities. In the case of a two-fluid system bounded above and below by rigid walls, we refer to the wave as guided. If the top wall is absent, that is, the top fluid has its free surface exposed to air, the wave is unguided. The problem is formulated by using a generalized Schwartz-Christoffel transformation technique which results in a system of nonlinear integro-differential equations for the interfacial angle θ_i, free surface angle θ_s and a connection equation for the jump in the potential across the interface. Numerical solutions for the system are presented for a range of Froude numbers showing the effect of density and depth ratios.