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Solid particles moving parallel to a deformable liquid-liquid interface in a micro-channel: migration forces

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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.authorRuiz Martín, Desirée
dc.contributor.authorRivero Rodríguez, Javier
dc.contributor.authorSánchez Sanz, Mario
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2023-04-25T12:12:56Z
dc.date.available2023-04-25T12:12:56Z
dc.date.issued2022-10-10
dc.description.abstractThis work focuses on the dynamics of a train of solid particles, separated by a distance L, flowing near a deformable interface formed by two co-flowing immiscible fluids in a microchannel of height h. Our study includes a systematic analysis of the influence of the governing parameters (fluids viscosity ratio, interface and particle positions, Reynolds Re and capillary Ca numbers and the inter-particle distance L) on the hydrodynamic force f exerted on the particle. In the pure inertial regime with non-deformable interfaces Ca = 0, the particle is driven towards the wall (interface) when the particle is close to the interface (wall). Up to three neutral equilibrium positions f = 0, two of them stable, are found in this limit. The contrary is obtained in the pure capillary regime Re = 0. In this limit, we also carried out an asymptotic analysis in the distinguished limits of very large and very small surface tension. In the latter case, the amplitude of the interface deformation induced by the particle is large, comparable to its diameter, but its influence is limited to a small region upstream and downstream of the particle. In the limit of very large surface tension, the amplitude of the interface deformation is small but the presence of the particle modifies the shape of the interface in a region of length 2 (Lambda), much larger than the particle diameter d. The parameter (Lambda), introduces an additional characteristic length that determines the asymptotic behaviour of the flow properties in the limit of large surface tension.en
dc.description.sponsorshipThis work was funded by the Agencia Estatal de Investigación of Spain PID2019-108592RB-C41/ AEI/10.13039/501100011033. D.R.-M. acknowledges the support of an FPI predoctoral fellowship (BES-2016-078629). APC funded by Universidad Carlos III de Madrid (Read and Publish Carlos III University of Madrid 2022).en
dc.format.extent26
dc.identifier.bibliographicCitationRuiz-Martín, D., Rivero-Rodriguez, J. F., & Sánchez-Sanz, M. (2022). Solid particles moving parallel to a deformable liquid–liquid interface in a micro-channel: migration forces. Journal of Fluid Mechanics, 948, A44 1-26.en
dc.identifier.doihttps://doi.org/10.1017/jfm.2022.683
dc.identifier.issn0022-1120
dc.identifier.publicationfirstpageA44-1
dc.identifier.publicationlastpageA44-26
dc.identifier.publicationtitleJournal of Fluid Mechanicsen
dc.identifier.publicationvolume948
dc.identifier.urihttps://hdl.handle.net/10016/37200
dc.identifier.uxxiAR/0000032170
dc.language.isoeng
dc.publisherCambridge University Pressen
dc.relation.projectIDGobierno de España. BES-2016-078629es
dc.relation.projectIDGobierno de España. PID2019-108592RB-C41es
dc.relation.projectIDAT-2022
dc.rights© The Author(s), 2022.en
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.ecienciaFísicaes
dc.subject.ecienciaIngeniería Industriales
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.ecienciaMaterialeses
dc.subject.otherMicrofluidicsen
dc.subject.otherParticle/Fluid flowen
dc.titleSolid particles moving parallel to a deformable liquid-liquid interface in a micro-channel: migration forcesen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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