Prediction of optimal modes of operation of rapid filters with homogeneous porous loads

A spatial mathematical model to predict the process of water purification from impurities in rapid filters with homogeneous porous loads subject to constant rate filtration, which takes into account the reverse impact of component concentrations of multi-component impurities, adsorbed on the grains load, on the active porosity, is proposed. In the model assumed that the convective component mass of transfer and adsorption prevail over the contribution of the diffusion and desorption. The algorithm for numerically-asymptotic approximation of the solution of the corresponding nonlinear singular-perturbed boundary problem for the spatial area, which a having the shape of a curvilinear parallelepiped, bounded two equipotential surfaces and four surfaces of the flow, is developed. The proposed model allows by conducting computer experiments to obtain optimal use of the filtering materials and the increase in the length work filters due to the choice of their form.