Mechanics & Industry
Volume 21, Number 5, 2020
Scientific challenges and industrial applications in mechanical engineering
|Number of page(s)||10|
|Published online||10 August 2020|
Identification of the pore size distribution of a porous medium by yield stress fluids using Herschel-Bulkley model
Laboratoire de l’Ingénierie et Technologies Appliquées, Ecole Supérieure de Technologie, Université Sultan Moulay Slimane,
2 LAMPA, Ecole Nationale Supérieure d’Arts et Métiers, 2 Boulevard du Ronceray, 49035 Angers Cedex 01, France
* e-mail: firstname.lastname@example.org
Accepted: 3 April 2020
In this paper, we present a new method to determine the pore-size distribution (PSD) in a porous medium. This innovative technique uses the rheological properties of non-Newtonian yield stress fluids flowing through the porous sample. In a first approach, the capillary bundle model will be used. The PSD is obtained from the measurement of the total flow rate of fluid as a function of the imposed pressure gradient magnitude. The mathematical processing of the experimental data, which depends on the type of yield stress fluid, provides an overview of the pore size distribution of the porous material. The technique proposed here was successfully tested analytically and numerically for usual pore size distributions such as the Gaussian mono and multimodal distributions. The study was conducted for yield stress fluids obeying the classical Bingham model and extended to the more realistic Herschel-Bulkley model. Unlike other complex methods, expensive and sometimes toxic, this technique presents a lower cost, requires simple measurements and is easy to interpret. This new method could become in the future an alternative, non-toxic and cheap method for the characterization of porous materials.
Key words: Porous material / pore-size distribution / non-Newtonian yield stress fluid / Herschel-Bulkley model / fractional derivative / numerical inversion
© A. Oukhlef et al., published by EDP Sciences 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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