This article is cited in 6 papers

Physicomathematical modeling of the processes of capillary impregnation of porous materials

A. A. Zhilin, A. V. Fedorov

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: The process of capillary impregnation of porous materials is studied numerically. A physicomathematical model of liquid diffusion in a porous sample is proposed. The model involves an analytical presentation of the diffusion coefficient, which describes available experimental data. A method of solving one-dimensional unsteady problems of impregnation is developed and tested on a self-similar solution of the corresponding boundary-value problem of impregnation. If the impregnation process is sufficiently long, the motion of the liquid in the sample is described by a stable self-similar solution. A classification of moisture diffusion on the basis of the initial humidity on the sample boundary is proposed.

Keywords: capillary impregnation, porous materials, diffusion.

UDC: 539.219

Received: 19.07.2007
Accepted: 04.10.2007

 English version: Journal of Applied Mechanics and Technical Physics, 2009, 50:1, 35–43

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