The asymptotic dispersion of particles in N-layer systems

Publisher Website
Google Scholar
Abstract
A fluid flows parallel to the strata of an N‐layer stratified system. Particles suspended in the flow are carried along, and additionally make random jumps to neighboring strata where the flow velocity is different. The distribution of particles in the flow direction is shown to be asymptotically (for long times) Gaussian. The dispersion is calculated exactly in the long time limit for arbitrary N, jump rates, and velocity field. The results are applied to a variety of phenomena, e.g., chromatography, Taylor diffusion, random walk residence times, adsorbing boundaries, and porous stratified media.

This publication has 17 references indexed in Scilit: