Analytical solutions for some simple flows of a binary mixture of incompressible Newtonian fluids

The problems dealing with some simple flows of a mixture of two incompressible Newtonian fluids have been analysed. By using the theory of binary mixtures of Newtonian fluids, the equations governing the velocity fields are reduced to a system of coupled ordinary differential equations. In the case of non-inertial flow the analytical solutions of these equations have been obtained for the following three problems: (i) the parallel flow with a free surface; (ii) the flow between intersecting planes, one of which is moving; (iii) the flow between two coaxial moving cylinders.