Abstract
Thermocapillary convection in two types of cylindrical geometries is studied by three-dimensional numerical simulations: an open cylindrical annulus heated from the outside wall and a liquid bridge. The non-deformable free surfaces are either flat or curved as determined by the fluid volume, V, and the Young-Laplace equation. Convection is steady and axisymmetric at sufficiently low values of the Reynolds number, Re, with either flat or curved 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, and V. Good agreement with available experiments is achieved in all cases.
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Sim, BC., Zebib, A., Schwabe, D. (2003). Thermocapillary Convection in Cylindrical Geometries. In: Narayanan, R., Schwabe, D. (eds) Interfacial Fluid Dynamics and Transport Processes. Lecture Notes in Physics, vol 628. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45095-5_6
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DOI: https://doi.org/10.1007/978-3-540-45095-5_6
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