• Login
    View Item 
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    Elastic fingering in rotating Hele-Shaw flows

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Type
    Article
    Authors
    Carvalho, Gabriel D.
    Gadêlha, Hermes
    Miranda, José A.
    KAUST Grant Number
    KUK-C1-013-04
    Date
    2014-05-21
    Permanent link to this record
    http://hdl.handle.net/10754/598124
    
    Metadata
    Show full item record
    Abstract
    The centrifugally driven viscous fingering problem arises when two immiscible fluids of different densities flow in a rotating Hele-Shaw cell. In this conventional setting an interplay between capillary and centrifugal forces makes the fluid-fluid interface unstable, leading to the formation of fingered structures that compete dynamically and reach different lengths. In this context, it is known that finger competition is very sensitive to changes in the viscosity contrast between the fluids. We study a variant of such a rotating flow problem where the fluids react and produce a gellike phase at their separating boundary. This interface is assumed to be elastic, presenting a curvature-dependent bending rigidity. A perturbative weakly nonlinear approach is used to investigate how the elastic nature of the interface affects finger competition events. Our results unveil a very different dynamic scenario, in which finger length variability is not regulated by the viscosity contrast, but rather determined by two controlling quantities: a characteristic radius and a rigidity fraction parameter. By properly tuning these quantities one can describe a whole range of finger competition behaviors even if the viscosity contrast is kept unchanged. © 2014 American Physical Society.
    Citation
    Carvalho GD, Gadêlha H, Miranda JA (2014) Elastic fingering in rotating Hele-Shaw flows. Phys Rev E 89. Available: http://dx.doi.org/10.1103/PhysRevE.89.053019.
    Sponsors
    J.A.M. and G.D.C. thank CNPq for financial support through the program “Instituto Nacional de Ciência e Tecnologia de Fluidos Complexos (INCT-FCx),” and FACEPE through PRONEM project No. APQ-1415-1.05/10. H.G. acknowledges support from an Oxford University Hooke Fellowship and is supported by Award KUK-C1-013-04 from King Abdullah University of Science and Technology.
    Publisher
    American Physical Society (APS)
    Journal
    Physical Review E
    DOI
    10.1103/PhysRevE.89.053019
    PubMed ID
    25353892
    ae974a485f413a2113503eed53cd6c53
    10.1103/PhysRevE.89.053019
    Scopus Count
    Collections
    Publications Acknowledging KAUST Support

    entitlement

    Related articles

    • Stationary patterns in centrifugally driven interfacial elastic fingering.
    • Authors: Carvalho GD, Gadêlha H, Miranda JA
    • Issue date: 2014 Dec
    • Viscosity contrast effects on fingering formation in rotating Hele-Shaw flows.
    • Authors: Miranda JA, Alvarez-Lacalle E
    • Issue date: 2005 Aug
    • Interfacial elastic fingering in Hele-Shaw cells: a weakly nonlinear study.
    • Authors: Carvalho GD, Miranda JA, Gadêlha H
    • Issue date: 2013 Nov
    • Pattern formation and interface pinch-off in rotating Hele-Shaw flows: a phase-field approach.
    • Authors: Folch R, Alvarez-Lacalle E, Ortín J, Casademunt J
    • Issue date: 2009 Nov
    • Effect of interfacial rheology on fingering patterns in rotating Hele-Shaw cells.
    • Authors: Coutinho ÍM, Dias EO, Miranda JA
    • Issue date: 2023 Feb
    DSpace software copyright © 2002-2023  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.