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Multiphase Science and Technology

Publicou 4 edições por ano

ISSN Imprimir: 0276-1459

ISSN On-line: 1943-6181

SJR: 0.144 SNIP: 0.256 CiteScore™:: 1.1 H-Index: 24

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STEADY MICROSTRUCTURE OF A CONTACT LINE FOR A LIQUID ON A HEATED SURFACE OVERLAID WITH ITS PURE VAPOR: PARAMETRIC STUDY FOR A CLASSICAL MODEL

Volume 21, Edição 3, 2009, pp. 213-248
DOI: 10.1615/MultScienTechn.v21.i3.30
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RESUMO

On the basis of a standard one-sided lubrication-type model, an analysis is carried out pertaining to a small vicinity of a contact line of a volatile nonpolar perfectly wetting macroscopic liquid sample surrounded with its pure vapor and attached to a smooth uniformly superheated solid surface. The behavior 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 vapor, 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 on 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 vapor-recoil effects are additionally incorporated and their possible importance is assessed.

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CITADO POR
  1. Nikolayev Vadim S., Dynamics of the triple contact line on a nonisothermal heater at partial wetting, Physics of Fluids, 22, 8, 2010. Crossref

  2. Rednikov Alexey Ye., Colinet Pierre, Vapor-Liquid Steady Meniscus at a Superheated Wall: Asymptotics in an Intermediate Zone Near the Contact Line, Microgravity Science and Technology, 22, 3, 2010. Crossref

  3. Colinet P., Rednikov A., On integrable singularities and apparent contact angles within a classical paradigm, The European Physical Journal Special Topics, 197, 1, 2011. Crossref

  4. SAVVA NIKOS, PAVLIOTIS GRIGORIOS A., KALLIADASIS SERAFIM, Contact lines over random topographical substrates. Part 2. Dynamics, Journal of Fluid Mechanics, 672, 2011. Crossref

  5. Rednikov A.Y., Colinet P., Evaporation-driven Contact Angles in a Pure-vapor Atmosphere : the Effect of Vapor Pressure Non-uniformity, Mathematical Modelling of Natural Phenomena, 7, 4, 2012. Crossref

  6. Janeček V., Nikolayev V. S., Apparent-contact-angle model at partial wetting and evaporation: Impact of surface forces, Physical Review E, 87, 1, 2013. Crossref

  7. Rednikov Alexey, Colinet Pierre, Singularity-free description of moving contact lines for volatile liquids, Physical Review E, 87, 1, 2013. Crossref

  8. Lebaigue Olivier, Two-Phase Microflows, in Microfluidics, 2013. Crossref

  9. Maquet Laurent, Colinet Pierre, Dorbolo Stéphane, Organization of microbeads in Leidenfrost drops, Soft Matter, 10, 23, 2014. Crossref

  10. Colinet Pierre, Rednikov Alexey, Precursor Films and Contact Line Microstructures, in Droplet Wetting and Evaporation, 2015. Crossref

  11. Savva Nikos, Rednikov Alexey, Colinet Pierre, Asymptotic analysis of the evaporation dynamics of partially wetting droplets, Journal of Fluid Mechanics, 824, 2017. Crossref

  12. Rednikov A. Ye., Colinet P., Asymptotic analysis of the contact-line microregion for a perfectly wetting volatile liquid in a pure-vapor atmosphere, Physical Review Fluids, 2, 12, 2017. Crossref

  13. Rednikov A. Y., Colinet P., Contact-line singularities resolved exclusively by the Kelvin effect: volatile liquids in air, Journal of Fluid Mechanics, 858, 2019. Crossref

  14. Rednikov A. Ye., Colinet P., Contact angles for perfectly wetting pure liquids evaporating into air: Between de Gennes-type and other classical models, Physical Review Fluids, 5, 11, 2020. Crossref

  15. Rednikov A. Ye., Colinet P., Truncated versus Extended Microfilms at a Vapor−Liquid Contact Line on a Heated Substrate, Langmuir, 27, 5, 2011. Crossref

  16. Tsoumpas Yannis, Dehaeck Sam, Galvagno Mariano, Rednikov Alexey, Ottevaere Heidi, Thiele Uwe, Colinet Pierre, Nonequilibrium Gibbs’ Criterion for Completely Wetting Volatile Liquids, Langmuir, 30, 40, 2014. Crossref

  17. Shiri Samira, Sinha Shayandev, Baumgartner Dieter A., Cira Nate J., Thermal Marangoni Flow Impacts the Shape of Single Component Volatile Droplets on Thin, Completely Wetting Substrates, Physical Review Letters, 127, 2, 2021. Crossref

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