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Natural break-up and satellite formation regimes of surfactant-laden liquid threads

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dc.affiliation.dptoUC3M. Departamento de Ingeniería Térmica y de Fluidoses
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Mecánica de Fluidoses
dc.contributor.authorMartínez Calvo, Alejandro
dc.contributor.authorRivero Rodríguez, Javier
dc.contributor.authorScheid, Benoit
dc.contributor.authorSevilla Santiago, Alejandro
dc.contributor.funderAgencia Estatal de Investigación (España)es
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades (España)es
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.contributor.funderMinisterio de Educación, Cultura y Deporte (España)es
dc.date.accessioned2022-09-16T10:27:47Z
dc.date.available2022-09-16T10:27:47Z
dc.date.issued2020-02-25
dc.description.abstractWe report a numerical analysis of the unforced break-up of free cylindrical threads of viscous Newtonian liquid whose interface is coated with insoluble surfactants, focusing on the formation of satellite droplets. The initial conditions are harmonic disturbances of the cylindrical shape with a small amplitude , and whose wavelength is the most unstable one deduced from linear stability theory. We demonstrate that, in the limit e → 0, the problem depends on two dimensionless parameters, namely the Laplace number, La = ρσ0R¯ /µ2, and the elasticity parameter, β = E/σ0, where ρ, µ and σ0 are the liquid density, viscosity and initial surface tension, respectively, E is the Gibbs elasticity and R¯ is the unperturbed thread radius. A parametric study is presented to quantify the influence of La and β on two key quantities: the satellite droplet volume and the mass of surfactant trapped at the satellite’s surface just prior to pinch-off, Vsat and Σsat, respectively. We identify a weak-elasticity regime, β . 0.05, in which the satellite volume and the associated mass of surfactant obey the scaling law Vsat = Σsat = 0.0042La1.64 for La . 2. For La & 10, Vsat and Σsat reach a plateau of about 3 % and 2.9 %, respectively, Vsat being in close agreement with previous experiments of low-viscosity threads with clean interfaces. For La < 7.5, we reveal the existence of a discontinuous transition in Vsat and Σsat at a critical elasticity, βc(La), with βc →0.98 for La . 0.2, such that Vsat and Σsat abruptly increase at β = βc for increasing β. The jumps experienced by both quantities reach a plateau when La . 0.2, while they decrease monotonically as La increases up to La = 7.5, where both become zero.en
dc.description.sponsorshipA.M.-C. and A.S. thank the Spanish MINECO, Subdirección General de Gestión de Ayudas a la Investigación, for its support through project DPI2015-71901-REDT, and the Spanish MCIU-Agencia Estatal de Investigación through project DPI2017-88201-C3-3-R. These research projects have been partly financed through FEDER European funds. A.M.-C. also acknowledges support from the Spanish MECD through grant FPU16/02562, and its associated programme Ayudas a la Movilidad 2017 during his stay at TIPs–ULB, Brussels. J.R.-R. and B.S. thank the FRS-FNRS for financial support, in particular under the umbrella of the Wolflow project. The authors wish to express their deep gratitude to one anonymous reviewer for making insightful comments, which led to a significant improvement of the present work.en
dc.format.extent30
dc.identifier.bibliographicCitationMartínez-Calvo, A., Rivero-Rodríguez, J., Scheid, B. & Sevilla, A. (2019, 26 noviembre). Natural break-up and satellite formation regimes of surfactant-laden liquid threads. Journal of Fluid Mechanics, 883.en
dc.identifier.doi10.1017/jfm.2019.874
dc.identifier.issn0022-1120
dc.identifier.publicationfirstpageA35-1
dc.identifier.publicationlastpageA35-30
dc.identifier.publicationtitleJournal of fluid mechanicsen
dc.identifier.publicationvolume883
dc.identifier.urihttps://hdl.handle.net/10016/35727
dc.identifier.uxxiAR/0000029650
dc.language.isoeng
dc.publisherCambridge University Pressen
dc.relation.projectIDGobierno de España. DPI2015-71901-REDTes
dc.relation.projectIDGobierno de España. DPI2017-88201-C3-3-Res
dc.relation.projectIDGobierno de España. FPU16/02562es
dc.rights© Cambridge University Press 2019en
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaIngeniería Industriales
dc.subject.otherCapillary flowsen
dc.subject.otherBreakup/coalescenceen
dc.titleNatural break-up and satellite formation regimes of surfactant-laden liquid threadsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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