Thermophoretic deposition effect on transient free convection hydromagnetic flow along an accelerated inclined permeable surface with time-dependent temperature and concentration

This work investigates the thermophoretic deposition effect on a transient free convection hydromagnetic flow along an accelerated infinite inclined permeable surface in the presence of heat generation, suction (or injection), thermal diffusion, and diffusion-thermo taking into account that the surface temperature and concentration are time dependent. The governing partial differential equations are transformed into a set of nonlinear coupled ordinary differential equations, which are then solved numerically by applying the shooting method with a sixth-order Runge-Kutta integration scheme. Graphical results for the dimensionless velocity, temperature, concentration distributions as well as wall thermophoretic velocity are reported and examined for the pertinent parameters showing the interesting aspects of the obtained solutions. The local skin-friction coefficient, the local Nusselt number, and the local Sherwood number are also computed. The results show that higher flow rates can be obtained when the temperature and concentration are time independent. Smaller buoyancy is observed for higher temperature indexes. Wall thermophoretic velocity is decreased with the increasing values of the Prandtl number, the thermophoretic parameter, as well as heat generation parameter. The results further show that the presence of thermal diffusion and diffusion-thermo intensify the shear stress but reduce the rate of heat as well as mass transfer.