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One-dimensional discrete mathematical models of extraction from a porous material

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Abstract

Two models for analyzing the process of extraction (and impregnation) from a porous material are considered. Cells, i.e., discrete space descriptions, are used in the models. The first model also assumes a discrete time description. In the second model, time varies continuously. It is shown that these two models and a conventional (diffusion) model form a hierarchical chain of models. Relationships for calculating the quantity of the target component in a porous solid are derived.

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Authors and Affiliations

  1. St. Petersburg State Chemical Pharmaceutical Academy, St. Petersburg, Russia

    A. I. Moshinskii

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  1. A. I. Moshinskii
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Correspondence to A. I. Moshinskii.

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Original Russian Text © A.I. Moshinskii, 2010, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2010, Vol. 44, No. 1, pp. 45–53.

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Moshinskii, A.I. One-dimensional discrete mathematical models of extraction from a porous material. Theor Found Chem Eng 44, 43–51 (2010). https://doi.org/10.1134/S0040579510010069

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