Unifying binary fluid diffuse-interface models in the sharp-interface limit
File(s)
Accepted version
Author(s)
Sibley, DN
Nold, A
Kalliadasis, S
Type
Journal Article
Abstract
Recent results published by Gugenberger et al. on surface diffusion (Phys. Rev. E, vol. 78, 2008, 016703), show that the sharp-interface limit of the phase field models often adopted in the literature fails to produce the appropriate boundary conditions. With this knowledge, we consider the sharp-interface limit of phase field models for binary fluids, obtained carefully, where hydrodynamic equations are coupled to phase field evolution based on Cahn–Hilliard or Allen–Cahn theories, in a variety of guises, and unify and contrast their forms and behaviours in the sharp-interface limit. In particular, a tensorial mobility model is analysed, which allows the bulk fluids in the outer region to satisfy classical Navier–Stokes type equations to all orders in the Cahn number.
Date Issued
2013-12-10
Date Acceptance
2013-09-26
Citation
Journal of Fluid Mechanics, 2013, 736, pp.5-43
ISSN
0022-1120
Publisher
Cambridge University Press
Start Page
5
End Page
43
Journal / Book Title
Journal of Fluid Mechanics
Volume
736
Copyright Statement
Copyright © 2013 Cambridge University Press. This article has been published in a revised form in Journal of Fluid Mechanics http://dx.doi.org/10.1017/jfm.2013.521. 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.
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000327138000004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
general fluid mechanics
interfacial flows (free surface)
multiphase flow
Publication Status
Published
Date Publish Online
2013-11-01