| A pseudo-2-D numerical model for analyzing the unsteady heat transfer and flow, of an electrically conducting, viscous, incompressible fluid in a channel formed between two concentric cylinders is developed. In the model, the fluid is driven along the channel by a constant pressure gradient and an external magnetic field is applied in the direction perpendicular to the channel flow. Two cylinders are considered electrically insulated, and the surfaces are maintained at constant but different temperatures with the outer cylinder being at a higher temperature. The viscosity and electrical conductivity of the fluid are considered varying with time and temperature.; The equations governing the flow and temperature distributions are solved numerically using the finite element method. The explicit time marching procedure is used to advance the numerical solution for the dependent variables, i.e. temperature and velocity.; The thesis discusses the effect of the applied magnetic field and the variation of viscosity and electrical conductivity with temperature on the time development of the velocity and temperature distributions for the fluid. |
