Hydrodynamics of moving contact lines: macroscopic versus microscopic

Alex V. Lukyanov, Tristan Pryer

Research output: Contribution to journalArticlepeer-review

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The fluid-mechanics community is currently divided in assessing the boundaries of applicability of the macroscopic approach to fluid mechanical problems. Can the dynamics of nano-droplets be described by the same macroscopic equations as the ones used for macro-droplets? To the greatest degree, this question should be addressed to the moving contact-line problem. The problem is naturally multiscale, where even using a slip boundary condition results in spurious numerical solutions and transcendental stagnation regions in modelling in the vicinity of the contact line. In this publication, it has been demonstrated via the mutual comparison between macroscopic modelling and molecular dynamics simulations that a small, albeit natural, change in the boundary conditions is all that is necessary to completely regularize the problem and eliminate these nonphysical effects. The limits of macroscopic approach applied to the moving contact-line problem have been tested and validated from the first microscopic principles of molecular dynamic simulations.
Original languageEnglish
Pages (from-to)8582-8590
Number of pages9
Issue number34
Early online date18 Aug 2017
Publication statusPublished - 29 Aug 2017

Bibliographical note

16 pages, 12 figures


  • physics.flu-dyn


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