Thermophoretic deposition of particles in fully developed mixed convection flow in a parallel-plate vertical channel

A theoretical analysis is made for thermophoretic transport of small particles through a fully developed laminar, mixed convection flow in a parallel vertical channel. The governing gas-particle ordinary differential equations are expressed in non-dimensional form and are solved numerically for some values of the governing parameters so as to investigate extensively their distinct influence on the flow pattern. These equations are solved also analytically in the special case when the thermophoretic effect is absent and the obtained analytical solution can be regarded as a verification of the numerical results, simultaneously. The parameter zone for the occurrence of reversed flow is presented. It is found that the effect of thermophoretic can be quite significant in appropriate situations.