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Convection of colloidal suspensions stratified by thermodiffusion and gravity

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Abstract

The convective stability thresholds and nonlinear evolution of convective rolls are numerically investigated in a plane horizontal layer of a colloidal suspension with positive separation ratio in the case of no-slip, impermeable horizontal boundaries. The characteristics of the steady and oscillatory patterns are analyzed under heating and gravity stratification. The standing and traveling waves are found as stable solutions within certain domains of parameters (on the plane of the Rayleigh and the Boltzmann numbers). Complex bifurcation and spatiotemporal properties are caused by the interaction of gravity sedimentation, Soret-induced gradients, and convective mixing of the fluid.

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References

  1. E. Moses, J. Fineberg, V. Steinberg, Phys. Rev. A 35, R2757 (1987).

    Article  ADS  Google Scholar 

  2. J.J. Niemela, G. Ahlers, D.S. Cannell, Phys. Rev. Lett. 64, 1365 (1990).

    Article  ADS  Google Scholar 

  3. D. Bensimon, P. Kolodner, C.M. Surko, H. Williams, V. Croquette, J. Fluid Mech. 217, 441 (1990).

    Article  ADS  Google Scholar 

  4. M. Lücke, M.W. Barten, P. Büchel, C. Fütterer, Lect. Notes Phys. 55, 127 (1998).

    Article  Google Scholar 

  5. D. Jung, P. Matura, M. Lücke, Eur. Phys. J. E 15, 293 (2004).

    Article  Google Scholar 

  6. M.I. Shliomis, B.L. Smorodin, S. Kamiyama, Philos. Mag. 83, 2139 (2003).

    Article  ADS  Google Scholar 

  7. M.I. Shliomis, B.L. Smorodin, Phys. Rev. E 71, 036312 (2005).

    Article  ADS  Google Scholar 

  8. A. Ryskin, H. Pleiner, Phys. Rev. E 75, 056303 (2007).

    Article  ADS  Google Scholar 

  9. B.L. Smorodin, I.N. Cherepanov, B.I. Myznikova, M.I. Shliomis, Phys. Rev. E 84, 026305 (2011).

    Article  ADS  Google Scholar 

  10. L. Hadji, M. Darassi, Phys. Rev. E 89, 013014 (2014).

    Article  ADS  Google Scholar 

  11. T. Tynjälä, A. Bozhko, P. Bulychev, G. Putin, P. Sarkomaa, J. Magn. & Magn. Mater. 300, 195 (2006).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. B.H. Chang, A.F. Mills, E. Hernandez, Int. J. Heat Mass Transfer 51, 1332 (2008).

    Article  MATH  Google Scholar 

  15. J.K. Platten, J.C. Legros, Convection in Liquids (Springer-Verlag, Berlin, Heidelberg, 1984).

  16. L.D. Landau, E.M. Lifschitz, Course of Theoretical Physics, Vol. 6 (Pergamon Press, Oxford, 1993).

  17. U.M. Ascher, R.M.M. Mattheij, R.D. Russell, in Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, Prentice Hall Series in Computational Mathematics (Prentice-Hall, Englewood Cliffs, NJ, 1988).

  18. P. Roache, Computational Fluid Dynamics (Hermosa, Albuquerque, New Mexico, 1976).

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Correspondence to B. L. Smorodin.

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

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Smorodin, B.L., Cherepanov, I.N. Convection of colloidal suspensions stratified by thermodiffusion and gravity. Eur. Phys. J. E 37, 118 (2014). https://doi.org/10.1140/epje/i2014-14118-x

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  • DOI: https://doi.org/10.1140/epje/i2014-14118-x

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