Effects of the induced magnetic field, thermophoresis, and Brownian motion on mixed convective Jeffrey nanofluid flow through a porous channel

Abstract

The main purpose of this research is to explore a comparative study of viscous and Jeffrey nanofluid flows through a parallel channel embedded in a porous medium under the influence of an induced magnetic field, Brownian motion, and thermophoresis. The convective boundary conditions are employed to study the heat and mass transfer at the lower plate. The system of transport constituent relations is reduced into coupled nondimensional ordinary differential equations through similar variables with appropriate boundary conditions. The resulting equations are analyzed for flow characteristics, heat and mass transfers, and magnetic diffusivities throughout the channel with various physical nondimensional parameters via shooting technique along with Runge-Kutta fourth-order scheme. It is observed that the temperature and concentration decrease with increasing Brownian motion parameters for both the viscous and Jeffrey fluid. The velocities decrease with increasing of the inverse Darcy parameter for Jeffrey fluid whereas velocities increase for a viscous fluid. The profiles of temperature and concentration for both fluids decrease with increasing of the Brownian motion parameter. The velocity profiles rise with suction/injection parameter for the both fluids. Finally, the numerical results of the present method are compared with a work available in the literature for the Newtonian case. An excellent agreement is found between the present and published numerical results.