2011
DOI: 10.1063/1.3589346
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A deeper insight into the dip coating process in the presence of insoluble surfactants: A numerical analysis

Abstract: A numerical investigation is carried out to study the effects of an insoluble surfactant on the dip coating of a flat substrate. Predictions of both the film thickness and the concentration of surfactant in the film as a function of the capillary number compare well with the solutions of a simpler asymptotic model based on the lubrication approximation. Streamline patterns confirm the existence of a stagnation point located in the bulk phase in the region of the dynamic meniscus—a conjecture postulated forty y… Show more

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Cited by 16 publications
(16 citation statements)
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“…Different authors ( [55,57,25,24,58,50] among others) proposed numerical simulations of the effect of Gibbs-Marangoni elasticity by integrating the Stokes equation together with the boundary condition given by Eq. (10) containing only the second term on the right-hand.…”
Section: Effect Of the Gibbs-marangoni Elasticitymentioning
confidence: 99%
“…Different authors ( [55,57,25,24,58,50] among others) proposed numerical simulations of the effect of Gibbs-Marangoni elasticity by integrating the Stokes equation together with the boundary condition given by Eq. (10) containing only the second term on the right-hand.…”
Section: Effect Of the Gibbs-marangoni Elasticitymentioning
confidence: 99%
“…Similarly, the effects of surface elasticity induced by the presence of surfactants have been studied in several configurations, e.g. liquid threads (Craster et al 2002;Timmermans & Lister 2002), dip coating (Campana et al 2011;Seiwert et al 2014;Champougny et al 2015), bubbles immersed in a viscous medium (Hameed et al 2008) or drop deformation and breakup (Stone & Leal 1990;Milliken et al 1993).…”
Section: Introductionmentioning
confidence: 99%
“…We believe that this is because the charge transfer through the NiO film and the charge collection at the TCS/NiO film interface were the most efficient with this sample. [27,28] Experimental Section provement in the photoelectrochemical performance of p-type electrodes.…”
Section: Introductionmentioning
confidence: 99%
“…[25,26] Finally, microwave thermal treatments can easily be combined with plasma to achieve the uniform heating of coatings on large-area substrates. [27,28] Experimental Section…”
Section: Introductionmentioning
confidence: 99%