Numerical Approach of Magnetic and Viscous Diffusivity in a Heat Exchanger Cooled by a Non-Newtonian Fluid

Abstract

This work is devoted to a theoretical and numerical study of a flow model in a heat exchanger cooled by two fluids. Assimilated to a vertical channel, the exchanger is divided in two immiscible regions separated by so thin plate made of high thermal conductivity material. The first region is filled with non-Newtonian micropolar fluid. The second region is filled with Newtonian fluid. The convective flow is due to the temperature gradient-between two walls of the channel–it’s also affected by a constant transverse magnetic field. This phenomenon is assumed as a mathematical model and developed. The terms of magnetic, viscous, and microrotation dissipations constituted the focal points of this work which present a numerical approach for some reasons. Firstly, to observe the interaction between these terms while running the dimensionless equations of balance. secondly, to examine the behavior of these terms while varying different obtained parameters. In addition, to study the effect of these terms and the dimensionless numbers and parameters on fluids flow. Finally, The investigation of the suggested model has allowed the appearance of certain dimensionless parameters and numbers such as the parameter of micropolarity, Prandtl number, the mixed convection parameter, the magnetic parameter, and Eckert number etc. The obtained results have been exploited and discussed.