Non-stationary Unidirectional Motion of Binary Mixture in Long Flat Layer

Abstract

The properties of solutions of non-stationary Oberbeck–Boussinesq equations are studied. The solutions describe unidirectional motions of binary mixture in a long horizontal layer. New non-stationary solution of inverse problem is constructed. In this problem basic characteristics of solution together with longitudinal pressure gradient are found. The condition of overdefinition for flow rate is used for searching of all unknowns. The convergence of the obtained non-stationary solution to the stationary one is proved with some restrictions on the initial data of the problem.