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Evaluation of Mass Accommodation Coefficients of Water over a Wide Temperature Range and Determination of Diffusion Coefficient of Water in Nitrogen
International Journal of Thermophysics ( IF 2.5 ) Pub Date : 2021-02-11 , DOI: 10.1007/s10765-021-02795-z
Yongyang Su , Wenliang Wang , Wei Wang , Lihua Zhai , Xiaopan Shen , Jiang Xu , Zhiming Li

Diffusion coefficient of water in nitrogen (Dvg) is a critical thermophysical parameter. However, the widely used empirical parametrizations of Dvg are only applicable in the temperature range from 273 K to 373 K. In the supercooled range, the reported experimental values of Dvg is sparse, and Dvg varies with temperature in a way different from the empirical equations and the recently reported first-principles calculation. In this paper, Dvg values at given temperatures, including in the supercooled range, were determined using the evaporation kinetics of individual water droplets in nitrogen flow under well-controlled conditions. The KVH model capable of describing the rapid evaporation/condensation process of an individual water droplet was utilized, and the thermophysical/kinetic parameters were evaluated carefully. Through reviewing the literature values of mass accommodation coefficient (αM) for ice, ice with liquid-like layer, supercooled water, normal water, and hot water, it is observed that the Slogistic1 function presented by OriginPro® could describe the temperature dependence of αM well. Then, the radius vs. time curve of an individual water droplet was predicted from the KVH model by varying Dvg and then compared with the experimental curve recorded by the Electrodynamic Balance. The trial value of Dvg corresponding to the best agreement was treated as its experimental value. By reviewing and regression fitting of all available experimental data, an improved expression of Dvg is proposed. The accuracy is evaluated to be ± 4 % in the temperature range of 248 K to 600 K.



中文翻译:

宽温度范围内水的质荷系数评估和氮中水扩散系数的测定

水在氮中的扩散系数(D vg)是关键的热物理参数。但是,广泛使用的D vg经验参数化仅适用于273 K至373 K的温度范围。在过冷范围内,D vg的报告实验值稀疏,并且D vg随温度变化的方式不同于经验方程式和最近报道的第一性原理计算。在本文中,D vg在给定温度下(包括过冷范围内),在良好控制的条件下,使用氮气流中单个水滴的蒸发动力学来确定温度值。利用能够描述单个水滴快速蒸发/冷凝过程的KVH模型,并仔细评估了热物理/动力学参数。通过回顾质量调节系数(的文献值α中号为冰),冰与液体状的层,过冷水,正常水和热水,可以观察到,通过OriginPro®呈现的Slogistic1函数可以描述的温度依赖性α中号出色地。然后,通过改变D vg,从KVH模型预测单个水滴的半径与时间的关系曲线,然后将其与电动平衡记录的实验曲线进行比较。将与最佳协议相对应的D vg的试验值作为其实验值。通过审查和回归拟合所有可用的实验数据,提出了改进的D vg表达。在248 K至600 K的温度范围内,精度评估为±4%。

更新日期:2021-02-11
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