Impact of Hall Effect on the Electromagnetohydrodynamic (EMHD) Flow of Nanofluid Through a Porous Microchannel

Abstract

A theoretical investigation on EMHD flow through a microchannel with porous medium is considered in this chapter. Impact of Hall Effect on the nanofluid flow transport is analyzed by considering the Brinkman momentum equation to govern the flow performance through porous microchannel. Constant pressure gradient and interfacial slip boundary condition at the walls of the microchannel has been considered. The analytical solution for the nanofluid flow has been expressed by considering blood and ferromagnetic nanoparticles. Variations in velocity and skin friction coefficient associated with the combined EMHD flow in porous microchannel has been evaluated in this study. The present investigation reveals that the velocity and the skin friction both are enhanced by the influence of Hall current. Further, it is also observed from the study that the velocity becomes maximum near to the walls of the microchannel due to interfacial slip boundary conditions. To validate the result an excellent agreement is shown by making a comparison with the results of some available scientific literature.