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The contact line behaviour of solid-liquid-gas diffuse-interface models

Sibley, David N., Nold, Andreas, Savva, Nikos and Kalliadasis, Serafim 2013. The contact line behaviour of solid-liquid-gas diffuse-interface models. Physics of Fluids 25 (9) , 092111. 10.1063/1.4821288

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A solid-liquid-gas moving contact line is considered through a diffuse-interface model with the classical boundary condition of no-slip at the solid surface. Examination of the asymptotic behaviour as the contact line is approached shows that the relaxation of the classical model of a sharp liquid-gas interface, whilst retaining the no-slip condition, resolves the stress, and pressure singularities associated with the moving contact line problem while the fluid velocity is well defined (not multi-valued). The moving contact line behaviour is analysed for a general problem relevant for any density dependent dynamic viscosity and volume viscosity, and for general microscopic contact angle and double well free-energy forms. Away from the contact line, analysis of the diffuse-interface model shows that the Navier–Stokes equations and classical interfacial boundary conditions are obtained at leading order in the sharp-interface limit, justifying the creeping flow problem imposed in an intermediate region in the seminal work of Seppecher [Int. J. Eng. Sci. 34, 977–992 (1996)]. Corrections to Seppecher's work are given, as an incorrect solution form was originally used.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: American Institute of Physics
ISSN: 1070-6631
Last Modified: 28 Jul 2020 01:37

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