Can hydrodynamic contact line paradox be solved by evaporation-condensation?

Journal of Colloid and Interface Science
V JanečekV S Nikolayev

Abstract

We investigate a possibility to regularize the hydrodynamic contact line singularity in the configuration of partial wetting (liquid wedge on a solid substrate) via evaporation-condensation, when an inert gas is present in the atmosphere above the liquid. The no-slip condition is imposed at the solid-liquid interface and the system is assumed to be isothermal. The mass exchange dynamics is controlled by vapor diffusion in the inert gas and interfacial kinetic resistance. The coupling between the liquid meniscus curvature and mass exchange is provided by the Kelvin effect. The atmosphere is saturated and the substrate moves at a steady velocity with respect to the liquid wedge. A multi-scale analysis is performed. The liquid dynamics description in the phase-change-controlled microregion and visco-capillary intermediate region is based on the lubrication equations. The vapor diffusion is considered in the gas phase. It is shown that from the mathematical point of view, the phase exchange relieves the contact line singularity. The liquid mass is conserved: evaporation existing on a part of the meniscus and condensation occurring over another part compensate exactly each other. However, numerical estimations carried out for three ...Continue Reading

References

Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R D DeeganT A Witten
Aug 24, 2005·Langmuir : the ACS Journal of Surfaces and Colloids·C PoulardM Ben Amar
Jan 25, 2011·Langmuir : the ACS Journal of Surfaces and Colloids·A Ye Rednikov, P Colinet
Feb 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexey Rednikov, Pierre Colinet
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V JanečekV S Nikolayev

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Citations

Jan 1, 2017·Journal of Engineering Mathematics·M A SaxtonJ M Oliver
Jan 7, 2019·The European Physical Journal. E, Soft Matter·F DoumencV S Nikolayev
Nov 16, 2017·Langmuir : the ACS Journal of Surfaces and Colloids·Charles LoussertBéatrice Guerrier

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