Yield-stress fluids in porous media : a comparison of viscoplastic and elastoviscoplastic flows

Chaparian, Emad and Izbassarov, Daulet and De Vita, Francesco and Brandt, Luca and Tammisola, Outi (2020) Yield-stress fluids in porous media : a comparison of viscoplastic and elastoviscoplastic flows. Meccanica, 55 (2). pp. 331-342. ISSN 0025-6455 (https://doi.org/10.1007/s11012-019-01010-6)

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Abstract

A numerical and theoretical study of yield-stress fluid flows in two types of model porous media is presented. We focus on viscoplastic and elastoviscoplastic flows to reveal some differences and similarities between these two classes of flows. Small elastic effects increase the pressure drop and also the size of unyielded regions in the flow which is the consequence of different stress solutions compare to viscoplastic flows. Yet, the velocity fields in the viscoplastic and elastoviscoplastic flows are comparable for small elastic effects. By increasing the yield stress, the difference in the pressure drops between the two classes of flows becomes smaller and smaller for both considered geometries. When the elastic effects increase, the elastoviscoplastic flow becomes time-dependent and some oscillations in the flow can be observed. Focusing on the regime of very large yield stress effects in the viscoplastic flow, we address in detail the interesting limit of ‘flow/no flow’: yield-stress fluids can resist small imposed pressure gradients and remain quiescent. The critical pressure gradient which should be exceeded to guarantee a continuous flow in the porous media will be reported. Finally, we propose a theoretical framework for studying the ‘yield limit’ in the porous media.

ORCID iDs

Chaparian, Emad ORCID logoORCID: https://orcid.org/0000-0002-5397-2079, Izbassarov, Daulet, De Vita, Francesco, Brandt, Luca and Tammisola, Outi;
  • Item type:Article
    ID code:84363
    Dates:
    Date
    Event
    1 February 2020
    Published
    17 July 2019
    Published Online
    24 June 2019
    Accepted
    Notes:Funding Information: E.C. gratefully acknowledges the Linné FLOW PostDoc grant during the course of this study. O.T. and D.I. appreciate the support of Swedish Research Council through Grants VR2013-5789, VR2017-4809, and VR 2014-5001. This work was supported by the European Research Council under Grant ERC-2013-CoG-616186, TRITOS, and by the Microflusa project. This effort receives funding from the European Union Horizon 2020 research and innovation program under Grant 664823. Acknowledgements Funding Information: Open access funding provided by Royal Institute of Technology. Publisher Copyright: © 2019, The Author(s). Chaparian, E., Izbassarov, D., De Vita, F. et al. Yield-stress fluids in porous media: a comparison of viscoplastic and elastoviscoplastic flows. Meccanica 55, 331–342 (2020). https://doi.org/10.1007/s11012-019-01010-6
    Subjects:Technology > Manufactures
    Department:Faculty of Engineering > Mechanical and Aerospace Engineering
    Depositing user: Pure Administrator
    Date deposited:23 Feb 2023 10:15
    Last modified:11 Nov 2024 13:47
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/84363
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