Thermophoresis particle deposition - thermal radiation interaction on mixed convection from vertical surfaces embedded in porous medium

This work deals with thermophoresis particle deposition and thermal radiation interaction on mixed convection heat and mass transfer by steady laminar boundary-layer flow over a nonisothermal vertical flat plate embedded in a fluid-saturated porous medium. The governing partial-differential equations are transformed into nonsimilar form by using a special transformation and then solved numerically by using an implicit finite-difference method. Different results are obtained and displayed graphically to explain the effect of various physical parameters on the wall thermophoretic deposition velocity, Nusselt numbers, and temperature and concentration profiles. It was found that the increasing of radiation parameter or dimensionless temperature ratio heated the fluid and decreased the temperature gradients near the impermeable wall, which increased the local Nusselt numbers and decreased the wall thermophoresis velocities. It was also found that the effect of power indexes of either temperatures or concentration enhances both local Nusselt numbers and wall thermophoresis velocities. Comparison with previously published work in the limits of absent thermophoresis and thermal radiation effects shows excellent agreement.