Transient dispersion in a channel with crossflow and wall adsorption

Abstract

We consider a setting with two infinite parallel plates, where the diffusive substance is adsorbed at the lower plate, simultaneously advected longitudinally by a main flow and vertically by a crossflow. We utilize the classical method of moments along with the eigenfunction expansion to calculate the moments up to fourth-order, and thus the effects of non-Gaussian properties can be reflected. Compared with the result of Brownian dynamics simulations, the present work is shown sufficient to cover the pre-asymptotic dispersion regime out of reach of the generalized Taylor dispersion (GTD) method and dual-perturbation method.