Numerical study of magnetic effect on the velocity distribution field in a macro/micro-scale of a micropolar and viscous fluid in vertical channel

A theoretical and numerical study of convective heat transfer of two different types of immiscible fluids in a vertical channel in the presence of a magnetic field is presented in this paper. The study involves several applications in mechanical energy, blood and synovial fluid flow in human health, micropolar fluids contained suspended fine particles in complex rotating motion, complex microstructure under the influence of several physicochemical characteristics …. To achieve a good understanding of the complexity of this flow type a mathematical model was developed which took into account a magnetic diffusivity term in the energy balance equation and allows the appearance of some dimensionless parameters such as the material parameter (K), the Prandtl number (Pr), the mixed convection parameter (GR), the magnetic parameter (Ha) and the Eckert number (Ec). Therefore, the numerical results obtained from the model were used to assume an apparent effect of the magnetic field on linear and spin velocities within micropolar and viscous fluids. Hence these results are subject to a comparative discussion between the current studied model with a magnetic diffusivity term and other studied without a magnetic diffusivity term.