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Comparison between numerical and experimental results on thermoconvective instabilities of a high-Prandtl-number liquid

Emilien Sauvage*, Laetitia Jacoutot†, Yves Fautrelle, and Annie Gagnoud

Laure Blumenfeld and Eric Favre

François Daviaud

  • SIMAP Groupe EPM, ENSEEG, BP 75, 38402 Saint Martin d’Hères, France

  • SFME/LTMF, CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France

  • DSM/DRECAM/SPEC, CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France

  • *emilien.sauvage@hmg.inpg.fr
  • †Also at Center for Turbulence Research, Stanford, CA.
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Phys. Rev. E 76, 066307 – Published 10 December, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.066307

Abstract

The flow structuration of silicon oil (Prandtl number of 10.3) in a open cylindrical pool heated from the center of the surface is investigated numerically. Our purpose is to perform the numerical simulation of experimental results obtained by Favre et al. [Phys. Fluids 9, 1473 (1997)] who observed transitions between steady and axisymmetric flows at sufficiently low values of the Marangoni number (Ma) and various types of instability depending on the height of the fluid. The hydrothermal wave regime has been obtained at critical values of Ma which depend on the Bond number and on the aspect ratio. The numerical results are in good agreement with the experimental ones.

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References (27)

  1. S. Schiller, U. Heisig, and S. Panzer, Electron Beam Technology (Wiley, Berlin, 1982).
  2. E. Favre, L. Blumenfeld, and F. Daviaud, Phys. Fluids 9, 1473 (1997).
  3. E. Favre, Ph.D. thesis, Institut National Polytechnique de Grenoble, 1997 (unpublished).
  4. S. Ostrach, Annu. Rev. Fluid Mech. 14, 313 (1982).
  5. R. Birikh, J. Appl. Mech. Tech. Phys. 7, 43 (1966).
  6. M. Smith and S. Davis, J. Fluid Mech. 132, 119 (1983).
  7. P. Laure, B. Roux, and H. Hadid, Phys. Fluids A 2, 516 (1990).
  8. J. Mercier and C. Normand, Phys. Fluids 8, 1433 (1996).
  9. N. Garnier, Ph.D. thesis, Université Paris, 2000 (unpublished).
  10. B.-C. Sim and A. Zebib, Int. J. Heat Mass Transfer 45, 4983 (2002).
  11. Y.-R. Li, N. Imashi, L. Peng, S.-Y. Wu, and T. Hibiya, J. Cryst. Growth 266, 88 (2004).
  12. D. Schwabe, U. Möller, J. Schneider, and A. Scharmmano, Phys. Fluids A 4, 2368 (1992).
  13. J. Mercier and C. Normand, Int. J. Heat Mass Transfer 45, 783 (2002).
  14. H. Hadid and B. Roux, J. Fluid Mech. 235, 1 (1992).
  15. D. Villers and J. Platten, J. Fluid Mech. 234, 487 (1992).
  16. J. Xu and A. Zebib, J. Fluid Mech. 364, 187 (1998).
  17. H. Hadid and B. Roux, J. Fluid Mech. 221, 77 (1990).
  18. A. Mancho and H. Herrero, Phys. Fluids 12, 1044 (2000).
  19. R. Riley and G. Neitzel, J. Fluid Mech. 359, 143 (1998).
  20. F. Daviaud and J.-M. Vince, Phys. Rev. E 48, 4432 (1993).
  21. J. Burguete and N. Mukolobwiez, Phys. Fluids 13, 2773 (2001).
  22. S. Hoyas, H. Herrero, and A. Mancho, Theor. Comput. Fluid Dyn. 18, 309 (2004).
  23. S. Hoyas, A. Mancho, H. Herrero, N. Garnier, and A. Chiffaudel, Phys. Fluids 17, 054104 (2005).
  24. Y.-R. Li, N. Imashi, T. Amazi, and T. Hibiya, J. Cryst. Growth 260, 28 (2004).
  25. Y.-R. Li, L. Peng, Y. Akiyama, and N. Imashi, J. Cryst. Growth 259, 374 (2003).
  26. Y.-R. Li, L. Peng, N. Imashi, and D. L. Zeng, Cryst. Res. Technol. 12, 1055 (2004).
  27. W. Shi and N. Imashi, J. Cryst. Growth 290, 280 (2006).

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Phys. Rev. E 76, 066307– Published 10 December, 2007
  • Received 23 April 2007

© 2007 American Physical Society

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