Abstract
Thermocapillary convection in liquid bridges and open cylindrical annuli is investigated in two- and three-dimensional numerical studies. The nondeformable free surfaces are either flat or curved as determined by the fluid volume, V, and the Young–Laplace equation. Dynamic free-surface deformations are discussed only in the axisymmetric models. Convection is steady and axisymmetric at sufficiently low values of the Reynolds number, Re, with either nondeformable or deformable surfaces. For the parameter ranges considered, it is found that only steady convection is possible at any Re in strictly axisymmetric computations. Transition to oscillatory three-dimensional motions occurs as Re increases beyond a critical value dependent on the aspect ratio, the Prandtl number, Pr, and V. Good agreement with available experiments is achieved in all cases. To cite this article: B.-C. Sim, A. Zebib, C. R. Mecanique 332 (2004).
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