Spatial modeling of multicomponent pollution removal for liquid treatment under identification of mass transfer coefficient

Abstract

A generalized spatial mathematical model of the multicomponent pollutant removal for a liquid treatment is proposed. Under the assumption of domination of convective processes over diffusive ones, the model considers an inverse influence of the determining factor (pollution concentration in water and sludge) on the media characteristics (porosity, diffu-sion) and takes into account the specified additional condition (overridden condition) for estimation of the unknown mass transfer coefficient of a small value. The algorithm for solving the corresponding nonlinear singularly perturbed inverse problem of the type “convection–diffusion–mass transfer” is developed. A computer experiment has been carried out based on this methodology.