Abstract
The thermocapillary driven flows in a floating zone radially heated by a ring heater are numerically studied in the presence of an axial magnetic field. A closed-form solution(without magnetic field) is obtained by solving a linear (Stokes-type) problem. Steady axisymmetric flows are presented through numerical simulations with a finite-difference method applied to a velocity-pressure-temperature formulation. This work investigates the free surface deformation and its effect on the flow field. The results indicate that the amplitude of free surface deviation from its original shape linearly increases respectively with capillary force and buoyant force. The surface shapes are found to change from convex(curved inward) to concave(curved outward) when Marangoni number exceeds certain value. The effect of magnetic field on the thermocapillary convection is also investigated in this work. The convection intensity can be reduced by a magnetic field. In the presence of a strong axial magnetic field, thermocapillary convection is confined into a thin layer near the free surface.
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