Wave formation in a two-layer band of liquid from a source located in the lower layer

Abstract

Abstract The article is devoted to the construction of an analytical algorithm for solving the problem of wave formation in a two-layer liquid from a source located in the lower layer of the liquid. In the process of solving the problem, it is reduced to a boundary value problem for a system of differential equations with respect to the velocity potentials of the disturbed flow of liquids. Next, the problem is divided into three simpler edge subtasks. Expressions describing the evolution of the free boundary and the separation line of the liquid layers are obtained. This evolution is also represented graphically. Conclusions are made about the influence of the ratio of densities, layer width and source power on the process of wave formation.