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Phys. Rev. E 78, 046315 (2008) [12 pages]

Thermal convection in mixtures with an inversion of the separation ratio

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B. Huke1,2, H. Pleiner2, and M. Lücke1
1Institut für Theoretische Physik, Universität des Saarlandes, D-66041 Saarbrücken, Germany
2Max Planck Institute for Polymer Research, D-55021 Mainz, Germany

Received 14 September 2007; revised 5 September 2008; published 29 October 2008

We have numerically investigated Rayleigh-Bénard convection in binary mixtures assuming a thermal diffusion ratio that depends on the local temperature and changes its sign within the cell. The stationary instability has been found to precede the oscillatory one for a wide range of negative mean ψ values. The bifurcation diagram for stationary rolls turns out to be qualitatively different from that for constant Soret effect. Nevertheless, it can be mapped onto this special case by using a scaling argument, taking into account the fact that for small convection amplitudes the rolls are restricted to parts of the cell where the sign of the Soret coefficient favors instability.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.78.046315
DOI:
10.1103/PhysRevE.78.046315
PACS:
47.20.Bp, 47.54.−r, 47.20.Ky