The interaction between a particle and an advancing solidification front
The interaction between a particle and an advancing solidification front
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DOI：
10.1016/s0022-0248(99)00290-0
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发表时间：
1999-08-01
影响因子：
1.8
通讯作者：
Worster, MG
中科院分区：
文献类型：
--
作者：
Rempel, AW;Worster, MG
我们推导出解析表达式的不溶性颗粒附近的推进凝固前沿的速度时，分子间的相互作用被描述的膜厚和过冷度之间的幂律依赖。我们预测，最大的颗粒速度，这对应于最低的凝固速度，在粒子捕获发生，取决于颗粒半径成反比。临界速度对温度梯度的敏感性较低，且随相互作用类型的不同而变化。当超过临界速度时，粒子在被推到其初始位置的稍前方后被困在固体区域内。预测的粒子位移通常仅为粒子半径的一小部分。颗粒浮力可以增强或减小颗粒被捕获的趋势，尽管它不影响临界速度对颗粒半径和温度梯度的参数依赖性。(C)1999 Elsevier Science B.V.保留所有权利。
We derive analytical expressions for the velocity of an insoluble particle near an advancing solidification front when the intermolecular interactions are described by a power-law dependence between the film thickness and the undercooling. We predict that the maximum particle velocity, which corresponds to the lowest solidification velocity at which particle trapping occurs, depends inversely on the particle radius. The critical velocity is less sensitive to the temperature gradient and the precise dependence changes with different interaction types. When the critical velocity is exceeded, the particle becomes trapped within the solid region after being pushed slightly ahead of its initial position. The predicted particle displacement is typically only a fraction of the particle radius. Particle buoyancy can enhance or reduce the tendency for the particle to be captured, though it does not affect the parametric dependence of the critical velocity on the particle radius and the temperature gradient. (C) 1999 Elsevier Science B.V. All rights reserved.