Thermophoresis phenomenon in radiative flow about vertical movement of a rotating disk in porous region

Abstract

This study examines the time-dependent, three-dimensional, laminar, incompressible, and inclined hydromagnetic flow of viscous fluid above a rotating disk. The disk is saturated in a porous space and moves vertically along axial direction. Heat transfer process is analyzed by the thermal radiation and convective boundary condition. Thermophoresis process is illustrated in the flow stream by mass equation. The similarity functions are exerted to transform the system of partial differential equations into a one independent variable expressions. The finite differences scheme is applied to the resultant dimensionalized system and then solved in iterative manner using Successive over Relaxation (SOR) method. The physical quantities are illustrated graphically in terms of velocity, thermal and concentration fields. Two-dimensional contour phenomenon and three-dimensional flow visualizations for some parameters are also sketched. The skin-friction co-efficient, frictional torque, Nusselt number and Sherwood number against selected parameters are discussed in tabular format.