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Inclined layer convection in a colloidal suspension with negative Soret coefficient at large solutal Rayleigh numbers

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Abstract

Convection in an inclined layer of fluid is affected by the presence of a component of the acceleration of gravity perpendicular to the density gradient that drives the convective motion. In this work we investigate the solutal convection of a colloidal suspension characterized by a negative Soret coefficient. Convection is induced by heating the suspension from above, and at large solutal Rayleigh numbers (of the order of 107-108) convective spoke patterns form. We show that in the presence of a marginal inclination of the cell as small as 19mrad the isotropy of the spoke pattern is broken and the convective patterns tend to align in the direction of the inclination. At intermediate inclinations of the order of 33mrad ordered square patterns are obtained, while at inclination of the order of 67mrad the strong shear flow determined by the inclination gives rise to ascending and descending sheets of fluid aligned parallel to the direction of inclination.

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References

  1. M.C. Cross, P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).

    Article  ADS  Google Scholar 

  2. R.M. Clever, F.H. Busse, J. Fluid. Mech. 81, 107 (1977).

    Article  MATH  ADS  Google Scholar 

  3. F.H. Busse, R.M. Clever, J. Eng. Math. 26, 1 (1992).

    Article  MathSciNet  MATH  Google Scholar 

  4. F.H. Busse, R.M. Clever, Phys. Fluids 12, 2137 (2000).

    Article  MathSciNet  ADS  Google Scholar 

  5. K.E. Daniels, B.B. Plapp, E. Bodenschatz, Phys. Rev. Lett. 84, 5320 (2000).

    Article  ADS  Google Scholar 

  6. K.E. Daniels, E. Bodenschatz, Phys. Rev. Lett. 88, 034501 (2002).

    Article  ADS  Google Scholar 

  7. G. Seiden, S. Weiss, J.H. McCoy, W. Pesch, E. Bodenschatz, Phys. Rev. Lett. 101, 214503 (2008).

    Article  ADS  Google Scholar 

  8. S. Weiss, G. Seiden, E. Bodenschatz, New J. Phys. 14, 053010 (2012).

    Article  ADS  Google Scholar 

  9. S. Weiss, G. Ahlers, J. Fluid Mech. 715, 314 (2013).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  10. F. Croccolo, F. Scheffold, A. Vailati, Phys. Rev. Lett. 111, 114502 (2013).

    Article  ADS  Google Scholar 

  11. P. Le Gal, A. Pocheau, V. Croquette, Phys. Rev. Lett. 54, 2501 (1985).

    Article  ADS  Google Scholar 

  12. E. Moses, V. Steinberg, Phys. Rev. Lett. 57, 2018 (1986).

    Article  ADS  Google Scholar 

  13. Ch. Jung, B. Huke, M. Lücke, Phys. Rev. Lett. 81, 3651 (1998).

    Article  ADS  Google Scholar 

  14. S. Weggler, B. Huke, M. Lücke, Phys. Rev. E 81, 016309 (2010).

    Article  ADS  Google Scholar 

  15. S.R. de Groot, P. Mazur, Nonequilibrium thermodynamics (North-Holland, Amsterdam, 1962).

  16. J.K. Platten, J.C. Legros, Convection in Liquids (Springer, Berlin, 1984).

  17. F.H. Busse, J.A. Whitehead, J. Fluid Mech. 66, 67 (1974).

    Article  ADS  Google Scholar 

  18. J.A. Whitehead, B. Parsons, Geophys. Astrophys. Fluid Dyn. 9, 201 (1978).

    Article  ADS  Google Scholar 

  19. F.H. Busse, Acta Mech. 4, 11 (1994).

    Google Scholar 

  20. A. La Porta, C.M. Surko, Phys. Rev. Lett. 80, 3759 (1998).

    Article  ADS  Google Scholar 

  21. R. Cerbino, A. Vailati, M. Giglio, Phys. Rev. E 66, 055301 (2002).

    Article  ADS  Google Scholar 

  22. R. Cerbino, A. Vailati, M. Giglio, Philos. Mag. 83, 2023 (2003).

    Article  ADS  Google Scholar 

  23. S. Mazzoni, R. Cerbino, D. Brogioli, A. Vailati, M. Giglio, Eur. Phys. J. E 15, 305 (2004).

    Article  Google Scholar 

  24. R. Cerbino, S. Mazzoni, A. Vailati, M. Giglio, Phys. Rev. Lett. 94, 064501 (2005).

    Article  ADS  Google Scholar 

  25. S. Mazzoni, F. Giavazzi, R. Cerbino, M. Giglio, A. Vailati, Phys. Rev. Lett. 100, 188104 (2008).

    Article  ADS  Google Scholar 

  26. M.C. Kim, Korean. J. Chem. Eng. 30, 831 (2013).

    Article  Google Scholar 

  27. F. Winkel, S. Messlinger, W. Schöpf, I. Rehberg, M. Siebenbürger, M. Ballauff, New J. Phys 12, 053003 (2010).

    Article  ADS  Google Scholar 

  28. S. Messlinger, C. Kramer, J.J. Schmied, F. Winkel, W. Schöpf, I. Rehberg, Phys. Rev. E 88, 053019 (2013).

    Article  ADS  Google Scholar 

  29. S. Messlinger, W. Schöpf, I. Rehberg, Int. J. Heat Mass Transfer 62, 336 (2013).

    Article  Google Scholar 

  30. G. Donzelli, R. Cerbino, A. Vailati, Phys. Rev. Lett. 102, 104503 (2009).

    Article  ADS  Google Scholar 

  31. M. Bernardin, F. Comitani, A. Vailati, Phys. Rev. E 85, 066321 (2012).

    Article  ADS  Google Scholar 

  32. A. Vailati, R. Cerbino, S. Mazzoni, C.J. Takacs, D.S. Cannell, M. Giglio, Nat. Commun. 2, 290 (2011).

    Article  ADS  Google Scholar 

  33. G.S. Settles, Schlieren and Shadowgraph Techniques (Springer, Berlin, 2001).

  34. S. Trainoff, D.S. Cannell, Phys. Fluids 14, 1340 (2002).

    Article  ADS  Google Scholar 

  35. R. Cerbino, A. Vailati, Curr. Opin. Colloid Interface Sci. 14, 416 (2009).

    Article  Google Scholar 

  36. F. Croccolo, D. Brogioli, Appl. Opt. 50, 3419 (2011).

    Article  ADS  Google Scholar 

  37. F. Croccolo, H. Bataller, F. Scheffold, J. Chem. Phys. 137, 234202 (2012).

    Article  ADS  Google Scholar 

  38. L.N. Howard, Proceedings of the Eleventh International Congress of Applied Mechanics, Munich, 1964 (Springer, Berlin, 1966) pp. 1109-1115.

  39. F. Giavazzi, A. Vailati, Phys. Rev. E 80, 015303 (2009).

    Article  ADS  Google Scholar 

  40. V. Degiorgio, Phys. Rev. Lett. 41, 1293 (1978).

    Article  ADS  Google Scholar 

  41. A. Ryskin, H. Pleiner, Phys. Rev. E 71, 056303 (2005).

    Article  ADS  Google Scholar 

  42. M.C. Kim, C.K. Choi, Phys. Rev. E 76, 036302 (2007).

    Article  ADS  Google Scholar 

  43. M.C. Kim, C.K. Choi, J.-K. Yeo, Phys. Fluids 19, 084103 (2007).

    Article  ADS  Google Scholar 

  44. M.C. Kim, Eur. Phys. J. E 34, 27 (2011).

    Article  Google Scholar 

  45. D.P. McKenzie, F. Richter, Sci. Am. 235, 72 (1976).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Milano, I-20133, Milano, Italy

    Matteo Italia & Alberto Vailati

  2. Laboratoire des Fluides Complexes et leurs Réservoirs, Université de Pau et des Pays de l’Adour, 64600, Anglet, France

    Fabrizio Croccolo

  3. Department of Physics, University of Fribourg, CH-1700, Fribourg, Switzerland

    Frank Scheffold

Authors
  1. Matteo Italia
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  2. Fabrizio Croccolo
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  3. Frank Scheffold
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  4. Alberto Vailati
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Corresponding author

Correspondence to Alberto Vailati.

Additional information

Contribution to the Topical Issue “Thermal nonequilibrium phenomena in multi-component fluids” edited by Fabrizio Croccolo and Henri Battaler.

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Italia, M., Croccolo, F., Scheffold, F. et al. Inclined layer convection in a colloidal suspension with negative Soret coefficient at large solutal Rayleigh numbers. Eur. Phys. J. E 37, 101 (2014). https://doi.org/10.1140/epje/i2014-14101-7

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  • DOI: https://doi.org/10.1140/epje/i2014-14101-7

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