N. Yucel et H. Turkoglu, NUMERICAL-ANALYSIS OF FLUID-FLOW AND MASS-TRANSFER IN A CHANNEL WITH A POROUS BOTTOM WALL, International journal for numerical methods in fluids, 21(5), 1995, pp. 391-399
The flow of a solution between parallel plates is considered. The bott
om plate is porous, while the top one is an impermeable solid. A compu
ter program based on the control volume approach was developed to anal
yse the flow and concentration fields. The effects of the slip at the
porous wall on the velocity and particle concentration distributions w
ere investigated. It was observed that as the slip increases, the conc
entration on the porous wall decreases and the maximum velocity moves
towards the porous wall. The concentration on the porous wall increase
s in the flow direction. This increase in the particle concentration a
long the porous wall may cause a reduction of the porosity and hence a
variation in the suction rate along the porous wall. In order to take
this effect into account, a linearly varying transverse velocity alon
g the porous wall was considered. The results were compared with the d
ata available in the literature.