On thermal diffusion and convection in multicomponent mixtures with application to the thermogravitational column

Physics of Fluids

Volumn 19, Issue 2, 2007, Pages

  Ryzhkov, Iiya I ^a,b   Shevtsova, Valentina M ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b INSTITUTE OF COMPUTATIONAL MODELING   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

SEPARATION; TEMPERATURE DISTRIBUTION; THERMAL CONDUCTIVITY; THERMAL DIFFUSION; THERMOGRAVIMETRIC ANALYSIS; VELOCITY DISTRIBUTION;

RAYLEIGH NUMBER; SEPARATION RATIO; THERMAL CONVECTION; THERMAL DIFFUSION COEFFICIENTS; THERMOGRAVITATIONAL COLUMN;

MIXTURES;

MIXTURES; SEPARATION; TEMPERATURE DISTRIBUTION; THERMAL CONDUCTIVITY; THERMAL DIFFUSION; THERMOGRAVIMETRIC ANALYSIS; VELOCITY DISTRIBUTION;

EID: 33847689363     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2435619     Document Type: Article

References (32)

1. R. W. Schmitt, "Double diffusion in oceanography," Annu. Rev. Fluid Mech. 26, 255 (1994).
2. W. H. Furry, R. C. Jones, and L. Onsager, "On the theory of isotope separation by thermal diffusion," Phys. Rev. 55, 1083 (1939).
3. M. E. Schimpf, "Thermal field-flow fractionation," in Field-Flow Fractionation Handbook, edited by M. E. Schimpf, K. Caldwell, and J. C. Giddings (Wiley, New York, 2000), p. 239.
4. K. Ghorayeb and A. Firoozabadi, "Modeling multicomponent diffusion and convection in porous media," SPEJ 5, 158 (2000).
5. J. K. Platten and J. C. Legros, Convection in Liquids (Springer, Berlin, 1984).
6. G. Z. Gershuni, E. M. Zhukhovitskii, and A. A. Nepomnyashchy, Stability of Convective Flows (Moscow, Nauka, 1989), in Russian.
7. M. Lücke, W. Barten, P. Büchel, Ch. Fütterer, St. Hollinger, and C. Jung, "Pattern formation in binary fluid convection and in systems with through flow," in Lecture Notes in Physics (Springer, Berlin, 1998), Vol. 55, p. 127.
8. A. Ryskin and H. Pleiner, "Thermal convection in colloidal suspensions with negative separation ratio," Phys. Rev. E 71, 056303 (2005).
9. R. Cerbino, S. Mazzoni, A. Vailati, and M. Giglio, "Scaling behavior for the onset of convection in a colloidal suspension," Phys. Rev. Lett. 94, 064501 (2005).
10. V. M. Shevtsova, D. E. Melnikov, and J. C. Legros, "Onset of convection in Soret-driven instability," Phys. Rev. E 73, 047302 (2006).
11. I. I. Ryzhkov, "On double diffusive convection with Soret effect in a vertical layer between co-axial cylinders," Physica D 215, 191 (2006).
12. J. P. Larre, J. K. Platten, and G. Chavepeyer, "Soret effects internary systems heated from below," Int. J. Heat Mass Transfer 40, 545 (1997).
13. G. D. Rabinovich, R. Y. Gurevich, and G. N. Bobrova, Thermodiffusion Separation of Liquid Mixtures (Nauka i technika, Minsk, 1971), in Russian.
14. J. K. Platten, "The Soret effect: A review of recent experimental results," J. Appl. Mech. 73, 5 (2006).
15. M. Marcoux and M. C. Charrier-Mojtabi, "Résolution analytique duprobléme de la diffusion thermogravitationnelle dans un mélange ternaire," Entropie 218, 13 (1999).
16. B. I. Nikolaev and A. A. Tubin, "Effects of concentration-dependent density on liquid separation in a thermal-diffusion column," J. Eng. Phys. 18, 540 (1970).
17. J. L. Navarro, J. A. Madariaga, and J. M. Savirón, "The forgotten effect in liquid thermal diffusion columns," J. Phys. A 15, 1683 (1982).
18. O. Ecenarro, J. A. Madariaga, J. L. Navarro, C. M. Santamaría, J. A. Carrión, and J. M. Savirón, "Non-steady-state density effects in liquid thermal diffusion columns," J. Phys.: Condens. Matter 1, 9741 (1989).
19. G. Labrosse, "Free convection of binary liquid with variable Soret coefficient in thermogravitational column: The steady parallel base states," Phys. Fluids 15, 2694 (2003).
20. K. Haugen and A. Firoozabadi, "On measurement of thermal diffusion coefficients in multicomponent mixtures," J. Chem. Phys. 122, 014516 (2005).
21. S. Wiegand, "Thermal diffusion in liquid mixtures and polymer solutions," J. Phys.: Condens. Matter 16, 357 (2004).
22. P. Kolodner, H. Williams, and C. Moe, "Optical measurement of the Soret coefficient of ethanol/water solutions," J. Chem. Phys. 88, 6512 (1988).
23. S. Van Vaerenbergh and J. C. Legros, "Diffusion and thermodiffusion in microgravity," in Physics of Fluids in Microgravity, edited by R. Monti (Taylor & Francis, London, 2001), p. 178.
24. J. F. Dutrieux, J. K. Platten, G. Chavepeyer, and M. M. Bou-Ali, "On the measurement of positive Soret coefficients," J. Phys. Chem. B 106, 6104 (2002).
25. J. Valencia, M. M. Bou-Ali, O. Ecenarro, J. A. Madariaga, and C. M. Santamaría, "Validity limits of the FJO thermogravitational column theory," in Thermal Nonequilibrium Phenomena in Fluid Mixtures (Springer, Berlin, 2002), p. 233.
26. V. M. Shevtsova, D. E. Melnikov, and J. C. Legros, "Unstable density stratification in binary mixture," Prog. Comput. Fluid Dyn. 6, 348 (2006).
27. M. I. Shliomis and M. Souhar, "Self-oscillatory convection caused by the Soret effect," Europhys. Lett. 49, 55 (2000).
28. O. Ecenarro, J. A. Madariaga, J. L. Navarro, C. M. Santamaría, J. A. Carrión, and J. M. Savirón, quot;Thermogravitational separation and the thermal diffusion factor near critical points in binary liquid mixtures," J. Phys.: Condens. Matter 5, 2289 (1993).
29. A. Zebib, "Convective instabilities in thermogravitational columns," J. Non-Equilib. Thermodyn. (in press).
30. A. Leahy-Dios, M. M. Bou-Ali, J. K. Platten, and A. Firoozabadi, "Measurements of molecular and thermal diffusion coefficients in ternary mixtures," J. Chem. Phys. 122, 234502 (2005).
31. S. R. de Groot and P. Mazur, Nonequilibrium Thermodynamics (North-Holland, Amsterdam, 1962).
32. V. S. Vladimirov, Equations of Mathematical Physics (Dekker, New York, 1971).