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。
The convection driven by rotation,thermocapillary force in the annular pool with inner radius of 20 mm,outer radius 40 mm,with depth of 5 mm was investigated by numerical simulation.The critical Marangoni number for onset of oscillatory flow was determined by linear stability analysis.The numerical results indicate that the weak pool rotation with low rotation rate destabilizes the axisymmetric steady thermocapillary convection,whereas the rotation with high rotation rate stabilizes the flow.The wave pattern of dissipative structure under critical conditions propagates azimuthally in the same direction as pool rotation direction.The critical azimuthal wave number of wave pattern increases with increasing the pool rotation rate.The vortex comes out at the bottom of layer when the pool rotates with high rotation rate,which destabilizes the convection slightly.
参考文献
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