An equivalent undercooling model to account for flow effect on binary alloy dendrite growth rate
An equivalent undercooling model to account for flow effect on binary alloy dendrite growth rate
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DOI：
10.1016/j.icheatmasstransfer.2013.06.002
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发表时间：
2013-10
影响因子：
7
通讯作者：
A. Bhattacharya;S. Karagadde;P. Dutta
中科院分区：
文献类型：
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作者：
A. Bhattacharya;S. Karagadde;P. Dutta
通过理论分析，研究了对流条件下，合金熔体中重要流动参数如努塞尔数和舍伍德数对等轴枝晶生长尖端速度的影响。由于对流的界面处的热和溶质传递的效果被等同于熔体的过冷度，并且推导出用于该等效过冷度的流动Nusselt数和舍伍德数的表达式。等效过冷度的结果进行了比较与相应的数值进行模拟的基础上焓法。这种方法代表了一个相对简单的程序来分析熔体对流对枝晶生长速率的影响。
A theoretical analysis is carried out to observe the influence of important flow parameters such as Nusselt number and Sherwood number on the tip speed of an equiaxed dendrite growing in a convecting alloy melt. The effect of thermal and solutal transfer at the interface due to convection is equated to an undercooling of the melt, and an expression is derived for this equivalent undercooling in terms of the flow Nusselt number and Sherwood number. Results for the equivalent undercooling are compared with corresponding numerical values obtained by performing simulations based on the enthalpy method. This method represents a relatively simple procedure to analyze the effects of melt convection on the growth rate of dendrites.