Use of the Augmented Young-Laplace Equation to Model Equilibrium and Evaporating Extended Menisci

DasGupta, Sunando; Schonberg, Jeffrey A.; Kim, Ihl Y.; Wayner, Peter

doi:10.1006/jcis.1993.1194

Cited by 76 publications

(67 citation statements)

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“…Such a configuration, accounting for an adsorbed microfilm of this nature, has originally been been treated by Potash and Wayner (1972). This line of studies is followed in particular by Moosman and Homsy (1980), Stephan and Busse (1992), DasGupta et al (1993), Morris (2001), Ajaev and Homsy (2001), Ajaev (2005a), Rossomme et al (2006Rossomme et al ( , 2009, Colinet et al (2007), and the present paper also forms part of it.…”

Section: Introductionmentioning

confidence: 80%

Steady Microstructure of a Contact Line for a Liquid on a Heated Surface Overlaid With Its Pure Vapor: Parametric Study for a Classical Model

2009

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Abstract. Based on a standard one-sided lubrication-type model, an analysis is carried out pertaining to a small vicinity of a contact line of a volatile non-polar perfectly-wetting macroscopic liquid sample surrounded with its pure vapour and attached to a smooth uniformly superheated solid surface. The behaviour of the liquid film is governed by the effects of evaporation, capillarity and the disjoining pressure. The kinetic resistance to evaporation, as well as the dependence of the local saturation temperature on the local liquid pressure are accounted for.Within the localized approach pursued, a steady configuration of the film on a flat substrate is studied such that at one end (say, to the left) it asymptotically attains an adsorbed microfilm in equilibrium with the vapour, while to the right it gets on to a constant slope (contact angle of the "microstructure"). For moving contact lines in the situations like drop spreading or bubble growth in the boiling process, this microstructure is relevant in the quasi-steady sense, provided that the displacement velocity is not too large.The paper focuses on a numerically-based parametric study expressing the contact angle and evaporation flux characteristics as functions of the system parameters. Asymptotic expansions at both ends of the film are elaborated in some detail and relied upon in the numerics. Asymptotic results from the literature involving certain limiting cases of the system parameters are critically examined. At last, the Marangoni and the vapour-recoil effects are additionally incorporated and their possible importance is assessed.

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Section: Introductionmentioning

confidence: 80%

Steady Microstructure of a Contact Line for a Liquid on a Heated Surface Overlaid With Its Pure Vapor: Parametric Study for a Classical Model

2009

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“…Let us now substitute this thermodynamic relation into the nonequilibrium condition [18]; the result can be written in the nondimensional form…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…In the limit of small temperature drop across the film, the latter is flat so the interface approaches constant-thickness film for large negativex and its derivatives decay exponentially. Numerical solution of the above equation by a shooting method (8,18) gives the interface profiles in the local variables. The scaled interfacial coordinateĥ and its second derivative are shown in Fig.…”

Section: Local Solutions In Transition Regionsmentioning

confidence: 99%

Steady Vapor Bubbles in Rectangular Microchannels

Ajaev

Homsy

2001

Journal of Colloid and Interface Science

110

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“…There have recently been numerous investigations of the microlayer formed on a flat surface. Wayner and his co-workers experimentally [3] and theoretically [2] investigated the shape of the microlayer, the flow in the microlayer, and the heat flux across the microlayer. Lay and Dhir [4] then used a more detailed analysis of the pressure distribution in the microlayer to also predict the shape of the microlayer and the heat flux.…”

Section: Introductionmentioning

confidence: 99%