Abstract
In the paper а mathematical model for computer predicting of the process of adsorption purification of water from impurities in rapid multilayer filters while maintaining a constant filtration rate, taking into account the reverse influence of process characteristics (the concentrations of impurities respectively in the filtration flow stream and on the surface of the adsorbent load, the temperature of the filtration flow) on characteristics load (coefficients of filtration, active porosity, adsorption, desorption) is formulated. The corresponding model problem contains the equation of motion of the filtration flow according to Darcy's law, the continuity equation, the equation of mass and heat balance, and the equation to study the change in the characteristics of piecewise-homogeneous porous loads (filtration coefficients and active porosity). Provided that the convective components of heat and mass transfer and adsorption predominate over the contribution of diffusion and desorption, an algorithm for numerically-asymptotic approximation of solution of the corresponding nonlinear singularly perturbed boundary value problem for a model region of a conical shape, bounded two equipotential surfaces and a surface flow, separated by some given specified of the equipotential surfaces on several subdomains, is developed. The proposed model allows through computer experiments to investigate changes in the characteristics of piecewise homogeneous porous loads (coefficients of filtration and active porosity of filter materials in each layer), to predict the optimal use of adsorbents and increase the duration of operation of filters by selecting their shape and height influence on the process of adsorption purification of water not only changes in the filtration flow rate along the height of the filter, but also the temperature.
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