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Surface permeability of porous media particles and capillary transport

Sirimark, P., Lukyanov, A. and Pryer, T. (2018) Surface permeability of porous media particles and capillary transport. The European Physical Journal E - Soft Matter & Biological Physics, 41 (9). 106. ISSN 1292-895X

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To link to this item DOI: 10.1140/epje/i2018-11716-6

Abstract/Summary

We have established previously, in a lead-in study, that the spreading of liquids in particulate porous media at low saturation levels, characteristically less than 10% of the void space, has very distinctive features in comparison to that at higher saturation levels. In particular, we have found that the dispersion process can be accurately described by a special class of partial differential equations, the super-fast non-linear diffusion equation. The results of mathematical modelling have demonstrated very good agreement with experimental observations. However, any enhancement of the accuracy and predictive power of the model, keeping in mind practical applications, requires the knowledge of the effective surface permeability of the constituent particles, which defines the global, macroscopic permeability of the particulate media. In the paper, we demonstrate how this quantity can be determined through the solution of the Laplace-Beltrami Dirichlet problem, we study this using the well-developed surface finite element method.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:78672
Publisher:Edition Diffusion Presse Sciences

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