Analytical Solutions for Some Simple Flows of a Binary Mixture of Incompressible Newtonian Fluids

Authors: SERDAR BARIŞ, M. SALİH DOKUZ

Abstract: 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.

Keywords: Mixture, Newtonian fluid, Non-inertial flow.

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