Non-uniform magnetic field effect on nanofluid hydrothermal treatment considering Brownian motion and thermophoresis effects

In this paper, heat and mass transfer of nanofluid in presence of variable magnetic field is investigated. The effects of Brownian motion and thermophoresis are taken into account. Control Volume-based Finite Element Method is applied to solve the governing equations in which both effect of ferrohydrodynamic and magnetohydrodynamic are considered. The effects of Rayleigh number, Hartmann number arising from MHD, buoyancy ratio number and Lewis number on the flow and heat transfer characteristics have been examined. Results are presented in the form of streamline, isotherm, isoconcentration and heatline plots. Results show that Nusselt number has direct relationship with Rayleigh number, buoyancy ratio number and Lewis number while it has reverse relationship with Hartmann number.