Longitudinal dispersion of tracer particles in a channel bounded by Porous media using slip condition

Abstract

Longitudinal dispersion of solute in a channel bounded by porous layers is studied using the analysis of Taylor [4] with BJ slip condition. The results of the present analysis are compared with those of Fung and Tang [2] obtained from using the no-slip condition. It is found that the effect of slip is significant only in the case when the membrane is permeable to solvent but not to the tracer. However, in the case when the membrane is permeable to both the tracer and the solvent, we find that our results coincide with those of Fung and Tang [2]

Dispersion-enhanced solute transport in a cell-seeded hollow fibre membrane bioreactor

“…This adds to the findings of Griffiths et al [12], who determined a generalised dispersion coefficient for flow in a long, thin porous-walled tube. We note that other models have also considered the effect on Taylor dispersion of porous media, or porous boundaries (see, for example, [13][14][15]), and solute absorption [16][17][18], but are rarely motivated by questions relevant to tissue engineering scenarios.…”

Hydromagnetic flow through uniform channel bounded by porous media

“…Pal et al [16] investigated the effect on slip on longitudinal dispersion of tracer particles in a channel bounded by porous media. Recently, Khan et al [17] studied the slip effects on shearing flows in a porous medium.…”