Sensitivity of the liquid bridge hydrodynamics to local capillary contributions

Abstract : In the usual models of thermocapillary flows, a vorticity singularity occurs at the contact free surface-solid boundaries. The steady axisymmetric hydrodynamics of the side-heated liquid bridge of molten metal is addressed here for its sensitivity to the size delta of a length scale explicitly introduced to regularize the problem. By linear stability analysis of the flows, various stable steady states are predicted: The already known steady states which are reflection-symmetric about the mid-plane, but also others which do not possess this property. The thresholds in Ma of the associated bifurcations are strongly dependent on delta, and converge with delta-->0 towards low values. Published data give these results some physical relevance. (C) 2002 American Institute of Physics.
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Physics of Fluids, American Institute of Physics, 2002, 14 (9), pp.3109--3117. 〈10.1063/1.1490350〉
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Eric Chénier, C. Delcarte, G. Kasperski, G. Labrosse. Sensitivity of the liquid bridge hydrodynamics to local capillary contributions. Physics of Fluids, American Institute of Physics, 2002, 14 (9), pp.3109--3117. 〈10.1063/1.1490350〉. 〈hal-00693612〉

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