2011
DOI: 10.1017/jfm.2011.211
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Dissipation in rapid dynamic wetting

Abstract: In this article, we present a modelling approach for rapid dynamic wetting based on the phase field theory. We show that in order to model this accurately, it is important to allow for a non-equilibrium wetting boundary condition. Using a condition of this type, we obtain a direct match with experimental results reported in the literature for rapid spreading of liquid droplets on dry surfaces. By extracting the dissipation of energy and the rate of change of kinetic energy in the flow simulation, we identify a… Show more

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Cited by 83 publications
(80 citation statements)
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“…The spreading dynamics of low-viscosity drops (e.g. water) follow a power law r = Kt 0.5 , which is independent of the liquid viscosity and surface wettability (Biance et al 2004;Bird et al 2008;Carlson et al 2011;Chen et al 2011;Winkels et al 2012;Stapelbroek et al 2014). The quantity r is the spreading radius, t is the spreading time and K is a coefficient.…”
Section: Water Spreading Dynamicsmentioning
confidence: 99%
“…The spreading dynamics of low-viscosity drops (e.g. water) follow a power law r = Kt 0.5 , which is independent of the liquid viscosity and surface wettability (Biance et al 2004;Bird et al 2008;Carlson et al 2011;Chen et al 2011;Winkels et al 2012;Stapelbroek et al 2014). The quantity r is the spreading radius, t is the spreading time and K is a coefficient.…”
Section: Water Spreading Dynamicsmentioning
confidence: 99%
“…This macroscopic dissipation was defined by a friction factor local at the contact line, which has the same units as viscosity. Others [8][9][10][11][12] have also discussed the importance of local non-hydrodynamic effects at the contact line, with different interpretations of its microscopic origin. Recently [13] a friction factor was estimated from the molecular kinetic theory by fitting the experimental spreading radius for drops with different viscosity.…”
mentioning
confidence: 99%
“…Important to note, however, is that in [8] ǫ has been varied one order of magnitude, without any noticeable change in the results or any increase in viscous dissipation.…”
mentioning
confidence: 99%
“…There are other relevant works that have been done on nonreactive wetting [54,[84][85][86][87][88][89][90][91][92][93][94]. [30].…”
Section: Nonreactive Wettingmentioning
confidence: 99%