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研究在二元合金过冷熔体中远场来流引起的对流对稳态枝晶生长的影响.在大Schmidt数和零表面张力的情形下,将纯熔体中远场来流引起的对流对枝晶生长作用的结果推广到受远场来流影响的二元合金过冷熔体中,利用多重尺度方法得到了稳态枝晶生长的渐近解,并分析了在对流的作用下枝晶生长的温度和浓度以及界面形态的变化.当熔体流动速度增大时,过冷度对枝晶尖端曲率半径的影响减小.与关于纯熔体的结果比较,二元合金过冷熔体中流动速度对界面形态有更大的影响,界面形状仍然是一个近似的抛物面,流动速度通过影响规范化参数使得系统的Peclet数倾向于进一步增加.
The effect of convection caused by far-field flow in binary alloy supercooled melt on the steady-state dendritic growth was studied.When the large Schmidt number and zero surface tension were applied, The results of the crystal growth effect are extended to the undercooled binary alloys affected by the far-field flow. The asymptotic solution of steady-state dendritic growth is obtained by the multi-scale method. The dendrite growth under the action of convection Temperature and concentration as well as the change of interface morphology.When the melt flow rate increases, the effect of undercooling on the radius of curvature of the dendrite tip decreases.Compared with the results of the pure melt, the supercooled melt flow in the binary alloy The velocity has a greater influence on the morphology of the interface, and the shape of the interface is still an approximate paraboloid. The flow velocity affects the Peclet number of the system further by affecting the normalized parameters.