Commun. Comput. Phys., 13 (2013), pp. 725-740.


A Study of Fluid Interfaces and Moving Contact Lines Using the Lattice Boltzmann Method

S. Srivastava 1*, P. Perlekar 1, L. Biferale 2, M. Sbragaglia 2, J. H. M. ten Thije Boonkkamp 3, F. Toschi 1

1 Department of Applied Physics and Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands.
2 Department of Physics and INFN, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy.
3 Department of Mathematics and Computer Science, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands.

Received 31 October 2011; Accepted (in revised version) 31 January 2012
Available online 29 August 2012
doi:10.4208/cicp.411011.310112s

Abstract

We study the static and dynamical behavior of the contact line between two fluids and a solid plate by means of the Lattice Boltzmann method (LBM). The different fluid phases and their contact with the plate are simulated by means of standard Shan-Chen models. We investigate different regimes and compare the multicomponent vs. the multiphase LBM models near the contact line. A static interface profile is attained with the multiphase model just by balancing the hydrostatic pressure (due to gravity) with a pressure jump at the bottom. In order to study the same problem with the multicomponent case we propose and validate an idea of a body force acting only on one of the two fluid components. In order to reproduce results matching an infinite bath, boundary conditions at the bath side play a key role. We quantitatively compare open and wall boundary conditions and study their influence on the shape of the meniscus against static and lubrication theory solution.


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PACS: 47.55.np, 47.55.N-, 47.11.-j
Key words: Lattice-Boltzmann, multiphase flow, multicomponent flow, plunging plate problem, Landau-Levich.

*Corresponding author.
Email: s.srivastava@tue.nl (S. Srivastava), pperlekar@gmail.com (P. Perlekar), biferale@roma2.infn.it (L. Biferale), sbragaglia@gmail.com (M. Sbragaglia), j.h.m.tenthijeboonkkamp@tue.nl (J. H. M. ten Thije Boonkkamp), f.toschi@tue.nl (F. Toschi)
 

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