AbstractA linear stability analysis is applied to determine the onset of oscillatory thermocapillary convection in cylindrical liquid bridges of large Prandtl numbers (4Pr50). We focus on the relationships between the critical Reynolds number Rec, the azimuthal wave number m, the aspect ratio Γ and the Prandtl number Pr. A detailed Rec–Pr stability diagram is given for liquid bridges with various Γ. In the region of Pr>1, which has been less studied previously and where Rec has been usually believed to decrease with the increase of Pr, we found Rec exhibits an early increase for liquid bridges with Γ around one. From the computed surface temperature gradient, it is concluded that the boundary layers developed at both solid ends of liquid bridges strengthen the stability of basic axisymmetric thermocapillary convection at large Prandtl number, and that the stability property of the basic flow is determined by the “effective” part of liquid bridge.


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    Title :

    A linear stability analysis of large-Prandtl-number thermocapillary liquid bridges


    Contributors:
    Xun, B. (author) / Chen, P.G. (author) / Li, K. (author) / Yin, Z. (author) / Hu, W.R. (author)

    Published in:

    Advances in Space Research ; 41 , 12 ; 2094-2100


    Publication date :

    2007-07-14


    Size :

    7 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English