Abstract
The values of transport coefficients near a critical point are typically enhanced compared to the values in the classical region far away from a critical point. We report on the impact of the asymptotic behavior of the mass diffusion near the critical region on the Soret separation of the components in a model binary mixture. Concentration patterns are numerically investigated in the case of a spatially varying temperature. The Soret separation in ordinary mixture leads to the establishing of a linear concentration distribution in a steady state. The presence of the critical point redistributes the concentration field, it creates a thin layer with sharp concentration change at the critical region which can be seen as a horizontal plateau on vertical profiles. Large concentration gradients are established across this layer. The analysis showed that the kinetic of the separation significantly depends on whether the critical temperature is inside or outside of the applied temperature region, which is T cold ≤ T ≤ T hot. Critical separation road is suggested for the case when T cr is located inside this region, T cold ≤ T cr ≤ T hot.
Graphical abstract
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
J.V. Sengers, J.M.H. Levelt Sengers, Annu. Rev. Phys. Chem. 37, 189 (1986).
J. Luettmer-Stathmann, in Lecture Notes in Physics, edited by W. Köhler, S. Wiegand, Vol. 584 (Springer, Berlin, 2002), p. 24.
W. Köhler, A. Krekhov, W. Zimmermann, Adv. Polym. Sci. 227, 145 (2010).
P. Bergé, M. Dubois, Phys. Rev. Lett. 27, 1125 (1971).
A. Mialdun, V. Shevtsova, J. Chem. Phys. 134, 044524 (2011).
A. Mialdun, V. Sechenyh, J.C. Legros, J. Ortiz de Zárate, V. Shevtsova, J. Chem. Phys. 139, 104903 (2013).
M. Giglio, A. Vendramini, Phys. Rev. Lett. 34, 561 (1975).
A. Mialdun, C. Minetti, Y. Gaponenko, V. Shevtsova, F. Dubois, Micrograv. Sci. Technol. 25, 83 (2013).
V. Shevtsova, C. Santos, V. Sechenyh, J.C. Legros, A. Mialdun, Micrograv. Sci. Technol. 25, 275 (2014).
W.M. Rutherford, J.G. Roof, J. Chem. Phys. 63, 1506 (1959).
O. Ecenarro, J.A. Madariaga, J.L. Navarro, C.M. Santamarfa, J.A. Carrión, J.M. Savirón, J. Phys.: Condens. Matter 5, 2289 (1993).
A. Mialdun, V. Shevtsova, C. R. Mec. 339, 362 (2011).
V. Shevtsova, Y. Gaponenko, A. Nepomnyashchy, J. Fluid Mech. 714, 644 (2013).
A. Voit, A. Krekhov, W. Köhler, Phys. Rev. E 76, 011808 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Contribution to the Topical Issue “Thermal nonequilibrium phenomena in multi-component fluids” edited by Fabrizio Croccolo and Henri Bataller.
Rights and permissions
About this article
Cite this article
Legros, J.C., Gaponenko, Y., Lyubimova, T. et al. Soret separation in a binary liquid mixture near its critical temperature. Eur. Phys. J. E 37, 89 (2014). https://doi.org/10.1140/epje/i2014-14089-x
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epje/i2014-14089-x