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Evaporation-driven solutocapillary flow of thin liquid films over curved substrates

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dc.contributor.authorBarakat, Joséph M.
dc.contributor.authorShi, Xingyi
dc.contributor.authorShaqfeh, Eric S. G.
dc.contributor.authorFuller, Gerald G.
dc.contributor.authorRodríguez Hakim, Mariana
dc.date.accessioned2024-05-20T11:27:56Z
dc.date.available2024-05-20T11:27:56Z
dc.date.issued2019-03-13
dc.description.abstractEvaporative loss of a volatile solvent can induce concentration inhomogeneities that give rise to spatial gradients in surface tension and subsequent solutocapillary Marangoni flows. This phenomenon is studied in the context of ultrathin liquid films resting atop curved convex substrates in contact with a fluid reservoir. Experiments are conducted with low-molecular-weight polydimethylsiloxane (silicone oil) mixtures composed of a volatile solvent and trace amounts of a nonvolatile solute. A theoretical model based on the thin-film approximation is developed, incorporating the effects of evaporative mass loss, gravity, capillarity, van der Waals forces, species diffusion, and Marangoni stresses. The spatiotemporal evolution of this system is studied by modulating the rate of evaporation of the volatile species and the bulk solute volume fraction in the mixture. The experiments and accompanying numerical simulations reveal that both Marangoni stresses and stabilizing van der Waals interactions between the substrate and the free surface can induce flow reversal and film regeneration. Their relative contribution is modulated by the solutocapillary Marangoni number, which is proportional to the bulk concentration of nonvolatile species in the mixture. Furthermore, it is revealed that increasing the rate of evaporation enhances the volumetric flow rate from thicker, solvent-rich areas towards thinner, solute-rich regions of the film. Although quantitative differences between the theory and the experiments are observed within certain ranges of the controlled parameters, the model qualitatively reproduces the flow regimes observed in the experiments and elucidates the complex interplay among the various physical forces.en
dc.description.versionversión publicada
dc.identifier.doihttps://doi.org/10.1103/PhysRevFluids.4.034002
dc.identifier.issn2469-990X
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12045
dc.journal.issue3
dc.journal.titlePhysical Review Fluids
dc.journal.volume4
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relation.centerFacultad de Ciencias
dc.relation.departmentFísica Fundamental
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/deed.en
dc.titleEvaporation-driven solutocapillary flow of thin liquid films over curved substrateses
dc.typejournal articleen
dc.typeartículoes
dspace.entity.typePublication
relation.isAuthorOfPublication0d3ca748-728d-48f4-b71c-55f101dfb9d8
relation.isAuthorOfPublication.latestForDiscovery0d3ca748-728d-48f4-b71c-55f101dfb9d8
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