Growth of needle-shaped crystals in the presence of convection.
Growth of needle-shaped crystals in the presence of convection.
复制标题
在对流存在下针状晶体的生长。
DOI：
10.1103/physreva.37.3423
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
Beaghton
中科院分区：
文献类型：
--
作者：
Saville;Beaghton
分析了在沿晶轴方向有强迫对流的情况下，针状晶体与过冷液体之间的冷锋运动。结果表明，在没有毛细效应的情况下，晶体-熔体界面的形状是一个旋转抛物面，类似于扩散是唯一热传递机制的情况。导出了过冷度、尖端速度和尖端半径的乘积与流动强度之间的关系，在没有对流的情况下，它简化为著名的伊万佐夫理论。
The motion of the freezing front between a needle-shaped crystal and a supercooled liquid is analyzed for situations where there is forced convection aligned with the crystal axis. It is shown that in the absence of capillary effects the shape of the crystal-melt interface is a paraboloid of revolution, similar to that found in situations where diffusion is the sole heat-transfer mechanism. A relation between the supercooling, the product of tip velocity and tip radius, and the strength of the flow is derived which reduces to the well-known Ivantsov theory in the absence of convection.