Abstract
A stability analysis of Rayleigh-Bénard-Marangoni flow of a low-Prandtl-number fluid in an open vertical cylinder is presented. The cylinder is heated laterally and cooled at the free surface by radiation. The governing equations are solved for axisymmetric base flow using a high-order finite-difference scheme. Small perturbations are applied to the base flow to determine the critical Marangoni number and Grashof number at which the axisymmetry is broken. Critical Grashof numbers are obtained over a wide range of Marangoni number and at different boundary conditions. It is found that the thermocapillary effect stabilizes the convective flow driven by buoyancy.
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