Sibley_etal_CrackingNut.pdf (281.18 kB)
The asymptotics of the moving contact line: cracking an old nut
journal contributionposted on 2018-08-10, 10:30 authored by David SibleyDavid Sibley, Andreas Nold, Serafim Kalliadasis
For contact line motion where the full Stokes flow equations hold, full matched asymptotic solutions using slip models have been obtained for droplet spreading and more general geometries. These solutions to the singular perturbation problem in the slip length, however, all involve matching through an intermediate region that is taken to be separate from the outer-inner regions. Here, we show that the intermediate region is in fact an overlap region representing extensions of both the outer and the inner region, allowing direct matching to proceed. In particular, we investigate in detail how a previously seen result of the matching of the cubes of the free surface slope is justified in the lubrication setting. We also extend this two-region direct matching to the more general Stokes flow case, offering a new perspective on the asymptotics of the moving contact line problem.
- Mathematical Sciences
Published inJournal of Fluid Mechanics
Pages445 - 462
CitationSIBLEY, D.N., NOLD, A. and KALLIADASIS, S., 2015. The asymptotics of the moving contact line: cracking an old nut. Journal of Fluid Mechanics, 764, pp. 445-462.
Publisher© Cambridge University Press (CUP)
- AM (Accepted Manuscript)
NotesThis article has been published in a revised form in Journal of Fluid Mechanics https://doi.org/10.1017/jfm.2014.702. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Cambridge University Press.