Mathematical model of mass transfer in the case of a bidispersed porous material

Moshinskii, A. I.

doi:10.1007/s10891-009-0196-7

Cited by 2 publications

(2 citation statements)

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“…This article expands on this idea to the case of a multi-channel porous solid. The idea of channel differentiation is presented, for example in [5], where a bidispersed pore system includes a main rather wide channel and a series of very narrow channels perpendicular to it. The hydrodynamic and mass transfer interaction of these channels gives an idea of the processes of filtration and impregnation in a certain area of the porous material.…”

Section: Methodsmentioning

confidence: 99%

“…The approximation of water saturation by a logarithmic function proposed in [2,3] gives a good result of an analytical description of the process. The existence of such a simple and successful option for a wide class of porous materials, as noted by the authors of [5], is a mystery for theorists. Further studies of the impregnation kinetics will possibly show the reason for the operation of such a simple law.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical model of porous solid impregnation based on multichannel representation of the pore system

Yelisieiev

Lutsenko

Berkout

2022

IOP Conf. Ser.: Earth Environ. Sci.

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In this work, based on the development of previously constructed concepts of modeling the process of impregnation of porous media with an unknown pore structure, a mathematical model was developed for calculation the change in water absorption of a body immersed in a liquid. The model is based on considering a porous structure in the form of a system of unconnected channels of three different radii. Using a theoretical model and experimental data approximations, the corresponding curves characterizing the truncated radial distribution of porous channels were obtained. Satisfactory agreement with experimental data was obtained for various porous materials. The presented calculations showed that, despite the roughness of the assumptions in the theory of fluid motion through pore channels and the pore system itself, the idea of multichannel is quite justified. It is possible that the variety of channels and their sizes determine mainly the fractal properties of the impregnated samples. The accepted scheme of pore channels shows somewhat underestimated values of the diameters of the middle channels. This indicates the need to include in the structure at least one more parameter, for example, tortuosity, in order to approximate the real characteristics of porous materials.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%