Renormalization group method for the problem of convective diffusion with irreversible sorption

Abstract

The renormalization group method is used to analyse the propagation of a thin solute slug in a seepage flow with account of diffusion and sorption processes. Sorption is assumed to be partially irreversible and is described by an isotherm with a hysteresis loop. A general technique is developed for analysing the problem. Calculations for the self-similar case are presented and the results are shown to be sufficiently accurate compared with the exact solution.