Heat transfer, vapour diffusion and Stefan flow around levitating droplets near a heated liquid surface
Heat transfer, vapour diffusion and Stefan flow around levitating droplets near a heated liquid surface
复制标题
加热液体表面附近悬浮液滴周围的传热、蒸汽扩散和 Stefan 流
DOI：
10.1017/jfm.2023.351
复制
发表时间：
2023
影响因子：
3.7
通讯作者：
Ajaev, Vladimir S.
中科院分区：
文献类型：
--
作者：
Davis, Jacob E.;Kabov, Oleg A.;Zaitsev, Dmitry V.;Ajaev, Vladimir S.
本文考虑一个缓慢凝结的液滴悬浮在蒸发层表面附近，建立了一个数学模型来描述系统中的扩散、传热和流体流动。采用双极坐标系中的分离变量法，得到温度、蒸汽浓度和斯托克斯流函数的级数展开式。这个框架使我们能够确定液滴表面的温度分布和冷凝速率，并计算允许液滴悬浮的向上力。与直觉相反的是，发现冷凝在液滴底部附近最强，该底部面向热液体层。实验观察到的偏离经典法律预测的半径的平方线性增长的时间模型解释。一个空间上不均匀的相变率的结果在以前的研究中没有考虑的力的贡献，液滴的重量和向上的力从斯托克斯阻力定律计算。相应地制定悬浮条件，从而预测悬浮高度作为液滴尺寸的函数，而无需任何拟合参数。一个简单的标准制定定义的参数范围内，悬浮是可能的。结果与实验数据吻合良好，除了该模型往往略有低估的悬浮高度。
We consider a slowly condensing droplet levitating near the surface of an evaporating layer, and develop a mathematical model to describe diffusion, heat transfer and fluid flow in the system. The method of separation of variables in bipolar coordinates is used to obtain the series expansions for temperature, vapour concentration and the Stokes stream function. This framework allows us to determine temperature profiles and condensation rates at the surface of the droplet, and to calculate the upward force that allows the droplet to levitate. Somewhat counter-intuitively, condensation is found to be the strongest near the bottom of the droplet, which faces the hot liquid layer. The experimentally observed deviations from the classical law predicting the square of the radius to grow linearly in time are explained by the model. A spatially non-uniform phase change rate results in a contribution to the force not considered in previous studies, and comparable to droplet weight and the upward force calculated from the Stokes drag law. The levitation conditions are formulated accordingly, resulting in the prediction of levitation height as a function of droplet size without any fitting parameters. A simple criterion is formulated to define the parameter ranges in which levitation is possible. The results are in good agreement with the experimental data except that the model tends to slightly underpredict the levitation height.
登录
查看更多内容
影响因子：
1.3
作者：
Fedorets, AA
通讯作者：
Fedorets, AA
两个缓慢蒸发球体的流体动力相互作用
影响因子：
4.6
作者：
H. Oǧuz;A. Prosperetti;Dino Antonelli
通讯作者：
Dino Antonelli
DOI：
10.1088/1742-6596/1677/1/012096
发表时间：
2020
期刊：
Journal of Physics: Conference Series
影响因子：
--
作者：
A. Shatekova
通讯作者：
A. Shatekova
可变气体密度对相互作用的蒸发球形液滴的传输的影响
DOI：
10.1016/j.ijheatmasstransfer.2018.05.152
发表时间：
2018
影响因子：
5.2
作者：
G. Cossali;S. Tonini
通讯作者：
S. Tonini
影响因子：
1.3
作者：
Arinshtein, E. A.;Fedorets, A. A.
通讯作者：
Fedorets, A. A.