Abstract
Abstract Steady thermocapillary flow in an axi-symmetric pool has been studied for a liquid of low Prandtl number. The liquid is heated along its top free surface and the bottom surface, which is also taken to be free, is adiabatic. The flow is analyzed for Grashof and Reynolds numbers ranging from 0 to 10 5 . The surface tension is assumed sufficiently large that in these ranges the free surfaces can be assumed to be flat. For the parameter ranges considered thermocapillar forces are seen to dominate buoyancy. A boundary layer develops along the free surface and the analysis of its scales shows that they remain the same as in the corresponding boundary layer in a cartesian geometry. However, some differences are observed in the flow structure in this axi-symmetry geometry and these are reported.
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