Capillary transport in paper porous materials at low saturation levels: normal, fast or superfast?

Author:

Lukyanov Alex V.12ORCID,Mitkin Vladimir V.3,Pryer Tristan4,Sirimark Penpark5,Theofanous Theo G.6

Affiliation:

1. School of Mathematical and Physical Sciences, University of Reading, Reading RG6 6AX, UK

2. P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Moscow 119991, Russia

3. Aerospace Research Laboratory, University of Virginia, Charlottesville, VA 22903, USA

4. Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK

5. Department of Science and Mathematics, Rajamangala University of Technology Isan, Surin, Thailand

6. Department of Chemical Engineering, University of California, Santa Barbara, CA 93106, USA

Abstract

The problem of capillary transport in fibrous porous materials at low levels of liquid saturation has been addressed. It has been demonstrated that the process of liquid spreading in this type of porous material at low saturation can be described macroscopically by a similar super-fast, nonlinear diffusion model to that which had been previously identified in experiments and simulations in particulate porous media. The macroscopic diffusion model has been underpinned by simulations using a microscopic network model. The theoretical results have been qualitatively compared with available experimental observations within the witness card technique using persistent liquids. The long-term evolution of the wetting spots was found to be truly universal and fully in line with the mathematical model developed. The result has important repercussions for the witness card technique used in field measurements of the dissemination of various low-volatility agents in imposing severe restrictions on collection and measurement times.

Funder

Engineering and Physical Sciences Research Council

Royal Thai Government scholarship

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

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