Generalized Navier Boundary Condition for the Moving Contact Line
T. Qian, X. Wang, и P. Sheng. Communications in Mathematical Sciences, 1 (2):
333--341(2003)
Аннотация
From molecular dynamics simulations on immiscible flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping is proportional to the sum of tangential viscous stress and the uncompensated Young stress. The latter arises from the deviation of the fluid-fluid interface from its static configuration. We give a continuum formulation of the immiscible è¢ow hydrodynamics, comprising the generalized Navier boundary condition, the Navier-Stokes equation, and the Cahn--Hilliard interfacial free energy. Our hydrodynamic model yields near-complete slip of the contact line, with interfacial and velocity profiles matching quantitatively with those from the molecular dynamics simulations.
%0 Journal Article
%1 citeulike:3576170
%A Qian, Tiezheng
%A Wang, Xiao-Ping
%A Sheng, Ping
%D 2003
%J Communications in Mathematical Sciences
%K moving-contact-line 76d45-capillarity-in-viscous-fluids
%N 2
%P 333--341
%T Generalized Navier Boundary Condition for the Moving Contact Line
%U http://www.intlpress.com/CMS/journal/v1i2/07.pdf
%V 1
%X From molecular dynamics simulations on immiscible flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping is proportional to the sum of tangential viscous stress and the uncompensated Young stress. The latter arises from the deviation of the fluid-fluid interface from its static configuration. We give a continuum formulation of the immiscible è¢ow hydrodynamics, comprising the generalized Navier boundary condition, the Navier-Stokes equation, and the Cahn--Hilliard interfacial free energy. Our hydrodynamic model yields near-complete slip of the contact line, with interfacial and velocity profiles matching quantitatively with those from the molecular dynamics simulations.
@article{citeulike:3576170,
abstract = {{From molecular dynamics simulations on immiscible flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping is proportional to the sum of tangential viscous stress and the uncompensated Young stress. The latter arises from the deviation of the fluid-fluid interface from its static configuration. We give a continuum formulation of the immiscible \`{e}¢ow hydrodynamics, comprising the generalized Navier boundary condition, the Navier-Stokes equation, and the Cahn--Hilliard interfacial free energy. Our hydrodynamic model yields near-complete slip of the contact line, with interfacial and velocity profiles matching quantitatively with those from the molecular dynamics simulations.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Qian, Tiezheng and Wang, Xiao-Ping and Sheng, Ping},
biburl = {https://www.bibsonomy.org/bibtex/20da80d89445432f808cac413b7e3830d/gdmcbain},
citeulike-article-id = {3576170},
citeulike-attachment-1 = {qian_03_generalized_33721.pdf; /pdf/user/gdmcbain/article/3576170/33721/qian_03_generalized_33721.pdf; a3518ad9be1fb8fdc107962259cb5839605bff9d},
citeulike-linkout-0 = {http://www.intlpress.com/CMS/journal/v1i2/07.pdf},
comment = {(private-note)Holdings: pers., PDF from journal web site
Brought to my attention by Nathan Pye 2008-11-19.},
file = {qian_03_generalized_33721.pdf},
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journal = {Communications in Mathematical Sciences},
keywords = {moving-contact-line 76d45-capillarity-in-viscous-fluids},
number = 2,
pages = {333--341},
posted-at = {2008-11-19 03:03:57},
priority = {3},
timestamp = {2019-02-27T00:18:05.000+0100},
title = {{Generalized Navier Boundary Condition for the Moving Contact Line}},
url = {http://www.intlpress.com/CMS/journal/v1i2/07.pdf},
volume = 1,
year = 2003
}