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The nonlinear states of viscous capillary jets confined in the axial direction

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dc.affiliation.dptoUC3M. Departamento de Ingeniería Térmica y de Fluidoses
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Ingeniería de Sistemas Energéticoses
dc.contributor.authorMartínez Calvo, Alejandro
dc.contributor.authorRubio Rubio, Mariano
dc.contributor.authorSevilla Santiago, Alejandro
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2022-09-14T08:57:37Z
dc.date.available2022-09-14T08:57:37Z
dc.date.issued2018-01-10
dc.description.abstractWe report an experimental and theoretical study of the global stability and nonlinear dynamics of vertical jets of viscous liquid confined in the axial direction due to their impact on a bath of the same liquid. Previous works demonstrated that in the absence of axial confinement the steady liquid thread becomes unstable due to an axisymmetric global mode for values of the flow rate, Q, below a certain critical value, Q(c), giving rise to oscillations of increasing amplitude that filially lead to a dripping regime (Sauter Buggisch, I Fluid Mech., vol. 533, 2005, pp. 237-257; Rubio-Rubio et al.,,I. Fluid Mech., vol. 729, 2013, pp. 471-483). here we focus on the effect of the jet length, L, on the transitions that take place for decreasing values of Q. The linear stability analysis shows good agreement with our experiments, revealing that Q(c), increases monotonically with L, reaching the semi-infinite jet asymptote for sufficiently large values of L. Moreover, as L decreases a quasi-static limit is reached, whereby Q(c) and the neutral conditions are given by a critical length determined by hydrostatics. Our experiments have also revealed the existence of a new regime intermediate between steady jetting and dripping, in which the thread reaches a limit-cycle state without breakup. We thus show that there exist three possible states depending on the values of the control parameters, namely steady jetting, oscillatory jetting and dripping. For two different combinations of liquid viscosity, nu, and injector radius, R. the boundaries separating these regimes have been determined in the (Q, L) parameter plane, showing that steady jetting exists for small enough values of L or large enough values of Q. dripping prevails for small enough values of Q or sufficiently large values of L, and oscillatory jetting takes place in an intermediate region whose size increases with nu and decreases with R.en
dc.description.sponsorshipThe authors thank the Spanish MINECO, Subdirección General de Gestión de Ayudas a la Investigación, for its support through projects DPI2014-59292-C3-1-P, DPI2014-59292-C3-3-P and DPI2015-71901-REDT. This research project has been partly financed through European funds.en
dc.format.extent24
dc.identifier.bibliographicCitationMartínez-Calvo, A., Rubio-Rubio, M. & Sevilla, A. (2017, 17 noviembre). The nonlinear states of viscous capillary jets confined in the axial direction. Journal of Fluid Mechanics, 834, 335-358.en
dc.identifier.doihttps://doi.org/10.1017/jfm.2017.706
dc.identifier.issn0022-1120
dc.identifier.publicationfirstpage335
dc.identifier.publicationlastpage358
dc.identifier.publicationtitleJournal of fluid mechanicsen
dc.identifier.publicationvolume834
dc.identifier.urihttps://hdl.handle.net/10016/35687
dc.identifier.uxxiAR/0000020815
dc.language.isoeng
dc.relation.projectIDGobierno de España. DPI2014-59292-C3-1-Pes
dc.relation.projectIDGobierno de España. DPI2014-59292-C3-3-Pes
dc.relation.projectIDGobierno de España. DPI2015-71901-REDTes
dc.rights© Cambridge University Press 2017en
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.otherAbsolute/convective instabilityen
dc.subject.otherCapillary flowsen
dc.subject.otherNonlinear instabilityen
dc.titleThe nonlinear states of viscous capillary jets confined in the axial directionen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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