The Mathematical Institute, University of Oxford, Eprints Archive

On the anomalous dynamics of capillary rise in porous media

Shikhmurzaev, Y. D. and Sprittles, J. E. (2012) On the anomalous dynamics of capillary rise in porous media. Physical Review E .

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Abstract

The anomalous dynamics of capillary rise in a porous medium discovered experimentally more than a decade ago (Delker et al., Phys. Rev. Lett. 76 (1996) 2902) is described. The developed theory is based on considering the principal modes of motion of the menisci that collectively form the wetting front on the Darcy scale. These modes, which include (i) dynamic wetting mode, (ii) threshold mode and (iii) interface de-pinning process, are incorporated into the boundary conditions for the bulk equations formulated in the regular framework of continuum mechanics of porous media, thus allowing one to consider a general case of three-dimensional flows. The developed theory makes it possible to describe all regimes observed in the experiment, with the time spanning more than four orders of magnitude, and highlights the dominant physical mechanisms at different stages of the process.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1559
Deposited By:Peter Hudston
Deposited On:11 Jul 2012 07:22
Last Modified:11 Jul 2012 07:22

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