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Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v19.i5.60
pages 453-469

LATTICE-BOLTZMANN ANALYSIS OF CAPILLARY RISE

Mohamed El Amine Ben Amara
Laboratoire d'Etudes des Systemes Thermiques et Energetiques, Ecole Nationale d'Ingenieurs de Monastir, Monastir 5019, Tunisia
Patrick Perre
Laboratoire de Genie des Procedes et des Materiaux, Ecole Centrale Paris, CentraleSupelec, campus de Chatenay-Malabry Grande Voie des Vignes F-92 295 Chatenay-Malabry Cedex, Paris, France
Sassi Ben Nasrallah
Laboratoire d'Études des Systèmes Thermiques et Énergétiques, Ecole Nationale d'Ingénieurs de Monastir, Monastir 5019 Tunisie

RÉSUMÉ

The current study presents an investigation of capillary flow by using the two-phase lattice-Boltzmann method. The Shan-Chen single-component multiphase model was applied to simulate capillary rise in straight and sinusoidal capillaries. In order to validate our code, three test cases are considered: (a) The Laplace law is tested for various droplets, (b) the contact angle was verified by comparing the ratio of droplet wet length to droplet height at various adhesion parameters and (c) the verification of the Washburn equation for long times. The density distribution was presented for different geometry configurations and liquid front position was plotted as a function of time. The numerical results showed that the Washburn equation is not valid for short times. The internal structure of the flow inside the capillaries was described, thus the analysis shows the forming of recirculation zones near the inlet region and a decelerating effect of the varying path on the meniscus movement. For sinusoidal capillaries, we notice that the meniscus reaches different equilibrium positions.


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