Three-dimensional oscillatory long-wave Marangoni convection in a binary liquid layer with the Soret effect: Bifurcation analysis

Three-dimensional long-wave oscillatory Marangoni convection in a thin layer of binary mixture with a nondeformable interface is investigated in the presence of the Soret effect. Both thermocapillary and solutocapillary effects are taken into account. A set of amplitude equations is obtained and stu...

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Bibliographic Details
Published in:Physics of fluids (1994) 2007-07, Vol.19 (7)
Main Authors: Shklyaev, S., Nepomnyashchy, A. A., Oron, A.
Format: Article
Language:eng ; rus
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Summary:Three-dimensional long-wave oscillatory Marangoni convection in a thin layer of binary mixture with a nondeformable interface is investigated in the presence of the Soret effect. Both thermocapillary and solutocapillary effects are taken into account. A set of amplitude equations is obtained and studied analytically near the critical value of the Marangoni number. It is shown that alternating rolls (either rhombic or square) are selected and they bifurcate supercritically. Subcritical bifurcation takes place only for alternating rolls on a square lattice in a narrow range of parameters.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.2749305