Non-wetting droplets in capillaries of circular cross-section: Scaling function

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dc.contributor.authorMakuch, Karol
dc.contributor.authorGorce, Jean-Baptiste
dc.contributor.authorGarstecki, Piotr
dc.date.accessioned2020-10-21T05:12:05Z
dc.date.available2020-10-21T05:12:05Z
dc.date.issued2019
dc.date.updated2020-07-06T08:20:40Z
dc.description.abstractSteady motion of long, non-wetting droplets carried by a surrounding liquid in a circular capillary has been the subject of many experimental, theoretical, and numerical simulation studies. Theoretical approaches, even after the application of lubrication approximation in hydrodynamic equations and after neglecting inertia and gravity effects, still lead to a numerical procedure to determine the speed of a droplet or the thickness of the film between a droplet and the wall of the capillary. Here, we develop the lubrication approximation further to introduce an analytical formula for the speed of droplets as a function of the capillary number and of the ratio of the viscosity coefficients of the two immiscible phases. We achieve this by identification of a scaling function within the lubrication approximation. The equations that we propose here corroborate well with the results of numerical simulations of droplet flow in circular capillaries.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1070-6631en_AU
dc.identifier.urihttp://hdl.handle.net/1885/212806
dc.language.isoen_AUen_AU
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/9872..."The Published Version can be archived in an Institutional Repository" from SHERPA/RoMEO site (as at 16/10/2020). This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in (Makuch, Karol, Jean-Baptiste Gorce, and Piotr Garstecki. "Non-wetting droplets in capillaries of circular cross-section: Scaling function." Physics of Fluids 31.4 (2019): 043102.) and may be found at https://dx.doi.org/10.1063/1.5087722en_AU
dc.publisherAmerican Institute of Physicsen_AU
dc.rights© 2019 Author(s).en_AU
dc.sourcePhysics of Fluidsen_AU
dc.titleNon-wetting droplets in capillaries of circular cross-section: Scaling functionen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.issue4en_AU
local.bibliographicCitation.lastpage4en_AU
local.bibliographicCitation.startpage1en_AU
local.contributor.affiliationMakuch, Karol, Polish Academy of Sciencesen_AU
local.contributor.affiliationGorce, Jean-Baptiste, College of Science, ANUen_AU
local.contributor.affiliationGarstecki, Piotr, Polish Academy of Sciencesen_AU
local.contributor.authoremailu6161083@anu.edu.auen_AU
local.contributor.authoruidGorce, Jean-Baptiste, u6161083en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor020303 - Fluid Physicsen_AU
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciencesen_AU
local.identifier.ariespublicationu3102795xPUB1456en_AU
local.identifier.citationvolume31en_AU
local.identifier.doi10.1063/1.5087722en_AU
local.identifier.scopusID2-s2.0-85063967801
local.identifier.uidSubmittedByu3102795en_AU
local.publisher.urlhttp://pof.aip.org/en_AU
local.type.statusPublished Versionen_AU

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