Morphological evolution of microscopic dewetting droplets with slip

Tak Shing Chan, Joshua D. McGraw, Thomas Salez, Ralf Seemann, Martin Brinkmann

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4 Citations (Scopus)

Abstract

We investigate the dewetting of a droplet on a smooth horizontal solid surface for different slip lengths and equilibrium contact angles. Specifically, we solve for the axisymmetric Stokes flow using the boundary element method with (i) the Navier-slip boundary condition at the solid/liquid boundary and (ii) a time-independent equilibrium contact angle at the contact line. When decreasing the rescaled slip length b with respect to the initial central height of the droplet, the typical non-sphericity of a droplet first increases, reaches a maximum at a characteristic rescaled slip length bmO(0.1-1) and then decreases. Regarding different equilibrium contact angles, two universal rescalings are proposed to describe the behaviour of the non-sphericity for rescaled slip lengths larger or smaller than bm. Around bm, the early time evolution of the profiles at the rim can be described by similarity solutions. The results are explained in terms of the structure of the flow field governed by different dissipation channels: elongational flows for b>>bm, friction at the substrate for b≈band shear flows for b<<bm. Following the changes between these dominant dissipation mechanisms, our study indicates a crossover to the quasistatic regime when b is many orders of magnitude smaller than bm.
Original languageEnglish
Pages (from-to)271-288
Number of pages18
JournalJournal of Fluid Mechanics
Volume828
Early online date4 Sep 2017
DOIs
Publication statusPublished - 10 Oct 2017

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