On multiscale moving contact line theory

Proceedings. Mathematical, Physical, and Engineering Sciences
Shaofan Li, Houfu Fan

Abstract

In this paper, a multiscale moving contact line (MMCL) theory is presented and employed to simulate liquid droplet spreading and capillary motion. The proposed MMCL theory combines a coarse-grained adhesive contact model with a fluid interface membrane theory, so that it can couple molecular scale adhesive interaction and surface tension with hydrodynamics of microscale flow. By doing so, the intermolecular force, the van der Waals or double layer force, separates and levitates the liquid droplet from the supporting solid substrate, which avoids the shear stress singularity caused by the no-slip condition in conventional hydrodynamics theory of moving contact line. Thus, the MMCL allows the difference of the surface energies and surface stresses to drive droplet spreading naturally. To validate the proposed MMCL theory, we have employed it to simulate droplet spreading over various elastic substrates. The numerical simulation results obtained by using MMCL are in good agreement with the molecular dynamics results reported in the literature.

References

Jul 15, 1997·Journal of Colloid and Interface Science·A Jagota, C Argento
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tiezheng QianPing Sheng
Jul 23, 2008·Physical Review Letters·James C BirdHoward A Stone
Nov 18, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Tiezheng QianPing Sheng
Apr 9, 2015·Biomechanics and Modeling in Mechanobiology·Houfu Fan, Shaofan Li

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