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Sedimentation instabilities: Impact of the fluid compressibility and viscosity

Michael J. Niebling1, Eirik G. Flekkøy1, Knut Jørgen Måløy1, and Renaud Toussaint2

  • 1Department of Physics, University of Oslo, P.O. Box 1048, 0316 Oslo, Norway
  • 2Institut de Physique du Globe de Strasbourg, CNRS, and University of Strasbourg(EOST), 5 rue Descartes, 67084 Strasbourg Cedex, France

Phys. Rev. E 82, 051302 – Published 11 November, 2010

DOI: https://doi.org/10.1103/PhysRevE.82.051302

Abstract

The effect of an interstitial fluid on the mixing of sedimenting grains is studied numerically in a closed rectangular Hele-Shaw cell. We investigate the impact of the fluid compressibility and fluid viscosity on the dynamics and structures of the granular Rayleigh-Taylor instability. First we discuss the effect of the fluid compressibility on the initial fluid pressure evolution and on the dynamics of the particles. Here, the emerging patterns do not seem highly affected by the compressibility change studied. To characterize the patterns and motion the combined length of the particle trajectories in relation to the movement of the center of mass is analyzed, and the separation of particle pairs is measured as a function of the fluid viscosity.

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References (24)

  1. P. Tegzes, T. Vicsek, and P. Schiffer, Phys. Rev. Lett. 89, 094301 (2002).
  2. R. M. Iverson, M. Logan, and R. P. Denlinger, J. Geophys. Res. 109, F01015 (2004).
  3. R. P. Denlinger and R. M. Iverson, J. Geophys. Res. 109, F01014 (2004).
  4. J. Duran and A. Reisinger, Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials (Springer-Verlag, New York, 1999).
  5. L. Bergougnoux, S. Ghicini, E. Guazzelli, and J. E. Hinch, Phys. Fluids 15, 1875 (2003).
  6. E. Guazzelli, Phys. Fluids 13, 1537 (2001).
  7. H. Nicolai, B. Herzhaft, E. J. Hinch, L. Oger, and E. Guazzelli, Phys. Fluids 7, 12 (1995).
  8. H. Nicolai and E. Guazzelli, Phys. Fluids 7, 3 (1995).
  9. J. L. Vinningland, Ø. Johnsen, E. G. Flekkøy, R. Toussaint, and K. J. Måløy, Phys. Rev. Lett. 99, 048001 (2007).
  10. J. L. Vinningland, Ø. Johnsen, E. G. Flekkøy, R. Toussaint, and K. J. Måløy, Phys. Rev. E 76, 051306 (2007).
  11. J. L. Vinningland, Ø. Johnsen, E. G. Flekkøy, R. Toussaint, and K. J. Måløy, Phys. Rev. E 81, 041308 (2010).
  12. M. J. Niebling, E. G. Flekkøy, K. J. Måløy, and R. Toussaint, Phys. Rev. E 82, 011301 (2010).
  13. Ø. Johnsen, R. Toussaint, K. J. Måløy, and E. G. Flekkøy, Phys. Rev. E 74, 011301 (2006).
  14. Ø. Johnsen, C. Chevalier, A. Lindner, R. Toussaint, E. Clément, K. J. Måløy, E. G. Flekkøy, and J. Schmittbuhl, Phys. Rev. E 78, 051302 (2008).
  15. S. McNamara, E. G. Flekkøy, and K. J. Måløy, Phys. Rev. E 61, 4054 (2000).
  16. D.-V. Anghel, M. Strauss, S. McNamara, E. G. Flekkøy, and K. J. Måløy, Phys. Rev. E 74, 029906(E) (2006).
  17. P. C. Carman, Chem. Eng. Res. Des. 75, S32 (1997).
  18. E. G. Flekkøy, R. Delgado-Buscalioni, and P. V. Coveney, Phys. Rev. E 72, 026703 (2005).
  19. W. H. Press and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, England, 2002).
  20. L. F. Richardson, Proc. R. Soc. London, Ser. A 110, 709 (1926).
  21. T. H. Dupree, Phys. Fluids 9, 1773 (1966).
  22. T. H. Dupree, Phys. Fluids 15, 334 (1972).
  23. G. Boffetta, A. Celani, A. Crisanti, and A. Vulpiani, EPL 46, 177 (1999).
  24. J. H. Misguich and R. Balescu, Plasma Phys. 24, 289 (1982).

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