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- W2022388029 abstract "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." @default.
- W2022388029 created "2016-06-24" @default.
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- W2022388029 creator A5084995338 @default.
- W2022388029 creator A5088394064 @default.
- W2022388029 date "2013-09-01" @default.
- W2022388029 modified "2023-10-09" @default.
- W2022388029 title "The contact line behaviour of solid-liquid-gas diffuse-interface models" @default.
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- W2022388029 doi "https://doi.org/10.1063/1.4821288" @default.
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