MODELING OF FILTRATION MASS TRANSFER IN THE MEDIUM OF MICROPOROUS PARTICLES

Abstract

Filtration mass transfer processes are important technological operations in the separation of mixtures, extraction of liquids from various biological materials in the processing, chemical industry, pharmacology and other fields. The structure of biological materials contains an extensive system of moisture-containing cells, intercellular cavities, micropores, through which mass transfer takes place. The internal mass flows are directed from the middle of the micropores of moisture-containing particles to their surfaces. Next, intermediate (transit) flows are formed, directed from the outer surfaces of the particles into the macropores of the interparticle space. In macropores of intraparticle spaces there are external outflows of liquid on the outer layer of the medium. During filtration transfer-impression in the pre-formed layer of microporous particles of biological nature, which is subjected to compression, there are internal and external pressure gradients in the particles and interparticle space, respectively, which cause outflow of liquid from the layer and particles .. This model is based on intraparticle spaces, including extraparticle spaces. According to this model, the fluid flow from the micropores of the intraparticle spaces is considered to be insignificant compared to the flow from the particles to the outside - to the macropores of the extraparticle spaces and the flow from the extraparticle spaces to the outside layer of the medium. In addition, this model includes assumptions about the pseudo-static flow between intraparticle spaces and extraparticle spaces. This means that the intensity of the flow - from the middle of the particle to the outside, is proportional to the pressure difference inside and outside the particle, which is very close. The Laplace and Fourier integral transformation methods are used to construct a high-velocity exact analytical solution of the boundary value problem of filtration mass transfer, which includes two interconnected types of transfer: at the microlevel in micromoisture-containing particles By solving the inverse problem using experimental concentration distributions in the Microsoft Visual C ++ system, the profiles of the reduced consolidation coefficients for particles and the macropores system were calculated and the model was checked for adequacy.