Journals / Turkish Journal of Engineering and Environmental Sciences / 2002 / Cilt: 26 - Sayı: 6
Analytical Solutions for Some Simple Flows of a Binary Mixture of Incompressible Newtonian Fluids
- Pages
- 455–471
- DOI
- —
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.
Özet
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.