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数值模拟了内半径20 mm、外半径40 mm、深5 mm环形池内硅熔体在旋转和热毛细力共同驱动下的热对流,通过线性稳定性分析确定了旋转-热毛细对流失稳的临界Marangoni数等临界条件。研究结果表明,液池低速旋转会降低轴对称热毛细对流的稳定性,而较高速度的旋转能增强热毛细对流的稳定性。临界条件下旋转-热毛细对流耗散结构波纹的传播方向与液池的旋转方向相同,临界周向波数随旋转速度的增加而增加。在较大的旋转速度下,液池底部出现涡胞,底部涡胞对热毛细对流的稳定性具有削弱作用。
Numerical simulations of the convection of the silicon melt in a toroidal pool with an inner radius of 20 mm, an outer radius of 40 mm and a depth of 5 mm under the common rotation of rotating and hot capillary forces were carried out. The critical stability of convection-thermal capillary convection was determined by linear stability analysis Marangoni number and other critical conditions. The results show that the low-speed rotation of the liquid pool will reduce the convective thermal symmetry of the axial symmetry, while the higher rotation speed will increase the thermal convection stability. Under the critical conditions, the propagation direction of the waviness in the rotating-hot capillary convection dissipative structure is the same as that of the liquid pool, and the critical circumferential wave number increases with the increase of the rotating velocity. At larger rotational speeds, vortex cells appear at the bottom of the liquid pool, and the bottom vortex cells weaken the thermal capillary convection.