Wang Tianbao, Lü Yongjun, Ai Liqiang, Zhou Yusi, Chen Min
Department of Engineering Mechanics, Center for Nano and Micro Mechanics , Tsinghua University , Beijing 100084 , China.
School of Physics , Beijing Institute of Technology , Beijing 100081 , China.
Langmuir. 2019 Apr 16;35(15):5162-5167. doi: 10.1021/acs.langmuir.9b00214. Epub 2019 Apr 2.
The dendritic growth of ice in supercooled water droplets is studied theoretically and experimentally. The measured dendritic growth velocity of ice shows a good agreement with the prediction of the Langer and Müller-Krumbhaar (LM-K) growth model at supercoolings less than 7 K, whereas an increasing overestimation in the latter is observed as the droplets are further supercooled. Therefore, the LM-K dendritic growth model is modified by considering the influence of interface kinetics. In the modified model, a dendrite grows in the limit of marginal stability coupled with diffusion at the liquid-solid interface, and the interface kinetics supercooling is introduced to predict the dendritic growth velocity. The interface kinetics factor is determined by fitting the experimental dendritic growth velocity within the framework of the modified model. This modification to the LM-K model well describes the dendritic growth of ice in water supercooled up to 25 K. It provides a solution to the dendritic growth of ice in the high-supercooling regime and can serve as a reliable input for studies on icing problems in engineering fields.
对过冷水滴中冰的枝晶生长进行了理论和实验研究。测量得到的冰的枝晶生长速度与朗格和米勒 - 克鲁姆哈尔（LM - K）生长模型在过冷度小于7K时的预测结果吻合良好，然而，随着液滴进一步过冷，该模型的预测结果出现了越来越大的高估。因此，考虑界面动力学的影响对LM - K枝晶生长模型进行了修正。在修正模型中，枝晶在液 - 固界面处的扩散耦合的边际稳定性极限下生长，并引入界面动力学过冷度来预测枝晶生长速度。通过在修正模型框架内拟合实验枝晶生长速度来确定界面动力学因子。对LM - K模型的这种修正很好地描述了过冷至25K的水中冰的枝晶生长。它为高过冷度区域中冰的枝晶生长提供了一种解决方案，并且可以作为工程领域结冰问题研究的可靠输入。
