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Capillary bulldozing of sedimented granular material confined in a millifluidic tube

Guillaume Dumazer1,2, Bjørnar Sandnes3, Knut Jørgen Måløy1, and Eirik G. Flekkøy1

  • 1PoreLab, The Njord center, University of Oslo, P.O. Box 1048 Blindern Oslo, Norway
  • 2Mines Saint-Etienne, Univ. Lyon, CNRS, UMR 5307 LGF, Centre SPIN, F-42023 Saint-Etienne, France
  • 3College of Engineering, Swansea University, Bay Campus, Swansea SA1 8EN, United Kingdom

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Phys. Rev. Fluids 5, 034309 – Published 30 March, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.034309

Abstract

The motion of a capillary interface across a deformable granular material in a confined geometry shows the complex interplay between viscous forces, solid friction, and capillary forces. In a horizontal quasi-one-dimensional geometrical confinement, a millifluidic tube, the displacement of a three-phase flow consisting of two fluids and a mobile granular phase exhibits viscous or frictional displacement regimes, as shown in [Phys. Rev. Lett. 117, 028002 (2016).]. In the present paper we explore in detail the dynamics in both regimes by making use of a new set of data. The viscous displacement regime which is characterized by a fluidization of the immersed granular material dragged by the flow driving the displacement of the capillary interface is interpreted from a rheological point of view. The frictional displacement regime which displays a self-structuring of the granular material left in the tube behind the invading capillary interface is interpreted by using a model based on the Janssen law to predict the typical size of the plugs obtained.

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References (37)

  1. G. Dumazer, B. Sandnes, M. Ayaz, K. J. Måløy, and E. G. Flekkøy, Frictional Fluid Dynamics and Plug Formation in Multiphase Millifluidic Flow, Phys. Rev. Lett. 117, 028002 (2016).
  2. A. Costa and G. Macedonio, Nonlinear phenomena in fluids with temperature-dependent viscosity: A hysteresis model for magma flow in conduits, Geophys. Res. Lett. 29, 40 (2002).
  3. A. Berti, Phase separation in lava flow, Eur. J. Mech. - B/Fluids 45, 84 (2014).
  4. D. Gidaspow and J. Huang, Kinetic theory based model for blood flow and its viscosity, Ann. Biomed. Eng. 37, 1534 (2009).
  5. J. B. Freund and M. M. Orescanin, Cellular flow in a small blood vessel, J. Fluid Mech. 671, 466 (2011).
  6. Z. Shen, T. M. Fischer, A. Farutin, P. M. Vlahovska, J. Harting, and C. Misbah, Blood Crystal: Emergent Order of Red Blood Cells Under Wall-Confined Shear Flow, Phys. Rev. Lett. 120, 268102 (2018).
  7. R. Mari, R. Seto, J. F. Morris, and M. M. Denn, Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions, J. Rheol. (Melville, NY, U.S.) 58, 1693 (2014).
  8. J. J. Stickel and R. L. Powell, Fluid mechanics and rheology of dense suspensions, Annu. Rev. Fluid Mech. 37, 129 (2005).
  9. M. M. Denn and J. F. Morris, Rheology of non-Brownian suspensions, Annu. Rev. Chem. Biomol. Eng. 5, 203 (2014).
  10. R. P. Behringer, D. Bi, B. Chakraborty, A. Clark, J. Dijksman, J. Ren, and J. Zhang, Statistical properties of granular materials near jamming, J. Stat. Mech.: Theory Exp. (2014) P06004.
  11. E. Brown and H. M. Jaeger, Shear thickening in concentrated suspensions: Phenomenology, mechanisms and relations to jamming, Rep. Prog. Phys. 77, 046602 (2014).
  12. A. Fall, F. Bertrand, D. Hautemayou, C. Mezière, P. Moucheront, A. Lemaître, and G. Ovarlez, Macroscopic Discontinuous Shear Thickening Versus Local Shear Jamming in Cornstarch, Phys. Rev. Lett. 114, 098301 (2015).
  13. E. Rabinovich and H. Kalman, Flow regime diagram for vertical pneumatic conveying and fluidized bed systems, Powder Technol. 207, 119 (2011).
  14. E. V. J. Manjula, W. K. Hiromi Ariyaratne, C. Ratnayake, and M. C. Melaaen, A review of CFD modelling studies on pneumatic conveying and challenges in modelling offshore drill cuttings transport, Powder Technol. 305, 782 (2017).
  15. R. Naveh, N. M. Tripathi, and H. Kalman, Experimental pressure drop analysis for horizontal dilute phase particle-fluid flows, Powder Technol. 321, 355 (2017).
  16. R. Lenormand, E. Touboul, and C. Zarcone, Numerical models and experiments on immiscible displacements in porous media, J. Fluid Mech. 189, 165 (1988).
  17. B. Zhao, C. W. MacMinn, and R. Juanes, Wettability control on multiphase flow in patterned microfluidics, Proc. Natl. Acad. Sci. USA 113, 10251 (2016).
  18. G. Løvoll, Y. Méheust, R. Toussaint, J. Schmittbuhl, and K. J. Måløy, Growth activity during fingering in a porous Hele-Shaw cell, Phys. Rev. E 70, 026301 (2004).
  19. M. Ferer, C. Ji, G. S. Bromhal, J. Cook, G. Ahmadi, and D. H. Smith, Crossover from capillary to viscous fingering for immiscible unstable flow: Experiment and modeling, Phys. Rev. E 70, 016303 (2004).
  20. B. Sandnes, H. A. Knudsen, K. J. Måløy, and E. G. Flekkøy, Labyrinth Patterns in Confined Granular-Fluid Systems, Phys. Rev. Lett. 99, 038001 (2007).
  21. H. A. Knudsen, B. Sandnes, E. G. Flekkøy, and K. J. Måløy, Granular labyrinth structures in confined geometries, Phys. Rev. E 77, 021301 (2008).
  22. B. Sandnes, E. G. Flekkøy, H. A. Knudsen, K. J. Måløy, and H. See, Patterns and flow in frictional fluid dynamics, Nat. Commun. 2, 288 (2011).
  23. D. Bensimon, L. P. Kadanoff, S. Liang, B. I. Shraiman, and C. Tang, Viscous flows in two dimensions, Rev. Mod. Phys. 58, 977 (1986).
  24. C. Chevalier, A. Lindner, and E. Clément, Destabilization of a Saffman-Taylor Fingerlike Pattern in a Granular Suspension, Phys. Rev. Lett. 99, 174501 (2007).
  25. J. A. Eriksen, R. Toussaint, K. J. Måløy, E. G. Flekkøy and B. Sandnes, Numerical approach to frictional fingers, Phys. Rev. E 92, 032203 (2015).
  26. J. A. Eriksen, R. Toussaint, K. J. Måløy, E. G. Flekkøy, O. Galland, and B. Sandnes, Pattern formation of frictional fingers in a gravitational potential, Phys. Rev. Fluids 3, 013801 (2018).
  27. C. Chevalier, A. Lindner, M. Leroux, and E. Clément, Morphodynamics during air injection into a confined granular suspension, J. Non-Newtonian Fluid Mech. 158, 63 (2009).
  28. J. M. Campbell, D. Ozturk, and B. Sandnes, Gas-driven fracturing of saturated granular media, Phys. Rev. Appl. 8, 064029 (2017).
  29. H. A. Janssen, Versuche uber getreidedruck in silozellen, Z. Ver. Dtsch. Ing. 39, 1045 (1895).
  30. T. S. Majmudar and R. P. Behringer, Contact force measurements and stress-induced anisotropy in granular materials, Nature (London) 435, 1079 (2005).
  31. E. Guazzelli and O. Pouliquen, Rheology of dense granular suspensions, J. Fluid Mech. 852, P1 (2018).
  32. D. S. Springer, H. A. Loaiciga, S. J. Cullen, and L. G. Everett, Air permeability of porous materials under controlled laboratory conditions, Groundwater 36, 558 (1998).
  33. P. Macini, E. Mesini, and R. Viola, Laboratory measurements of non-Darcy flow coefficients in natural and artificial unconsolidated porous media, J. Pet. Sci. Eng. 77, 365 (2011).
  34. B. Marks, B. Sandnes, G. Dumazer, J. A. Eriksen, and K. J. Måløy, Compaction of granular material inside confined geometries, Front. Phys. 3, 41 (2015).
  35. A.-K. Liedtke, F. Scheiff, F. Bornette, R. Philippe, D. W. Agar, and C. de Bellefon, Liquid-solid mass transfer for microchannel suspension catalysis in gas-liquid segmented flow, Ind. Eng. Chem. Res. 54, 4699 (2015).
  36. N. Eshtiaghi, F. Markis, S. D. Yap, J.-C. Baudez, and P. Slatter, Rheological characterisation of municipal sludge: A review, Water Res. 47, 5493 (2013).
  37. E. Hong, A. M. Yeneneh, T. K. Sen, H. M. Ang, and A. Kayaalp, A comprehensive review on rheological studies of sludge from various sections of municipal wastewater treatment plants for enhancement of process performance, Adv. Colloid Interface Sci. 257, 19 (2018).

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Phys. Rev. Fluids 5, 034309– Published 30 March, 2020
  • Received 25 March 2019
  • Accepted 26 February 2020
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