A toroidal approximation of capillary forces in polydisperse granular assemblies

Harireche, Ouahid, Faramarzi, Asaad and Alani, Amir (2013) A toroidal approximation of capillary forces in polydisperse granular assemblies. Granular Matter, 15 (5). pp. 573-581. ISSN 1434-5021

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In this paper we propose a numerical procedure for the prediction of capillary forces in polydisperse granular assemblies at a degree of moisture content that corresponds to the so-called pendular regime. The capillary force model is adopted within the Laplace–Young framework with a toroidal approximation of the liquid bridge geometry. Governing equations are first derived in a form that highlights the role of intrinsic parameters such as inter-particle separation distance, ratio of particle radii and liquid volume. A proper scaling of these equations is adopted so that the solution applies to any particle pair configuration. Numerical integration algorithms are provided in a way that facilitates implementations in macroscopic procedures for computer simulations. A qualitative evaluation is undertaken to highlight model predictions of the effects on capillary force of various intrinsic parameters that characterise the particle pair and liquid bridge. The model is validated against the experimental results provided by Willet et al. (Langmuir 16:9396–9405, 2000) for a wide range of liquid volumes and particle-pair polydispersity.

Item Type: Article
Identifier: 10.1007/s10035-013-0425-9
Keywords: Granular assemblies; Pendular regime; Capillary forces; Toroidal approximation
Subjects: Construction and engineering > Built environment
Construction and engineering > Civil and structural engineering
Construction and engineering
Depositing User: Fabio Tosti
Date Deposited: 26 May 2016 10:19
Last Modified: 06 Feb 2024 15:44
URI: https://repository.uwl.ac.uk/id/eprint/2151

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