Analysis of the microfluid flow in an evaporating sessile droplet
Analysis of the microfluid flow in an evaporating sessile droplet
复制标题
DOI：
10.1021/la047528s
复制
发表时间：
2005-04-26
期刊：
影响因子：
3.9
通讯作者：
Larson, RG
中科院分区：
文献类型：
--
作者：
Hu, H;Larson, RG
采用解析润滑理论，在低毛细管数和低雷诺数条件下，采用自由液滴表面零剪应力边界条件，数值研究了接触线被钉扎的固体蒸发液滴内的轴对称时变流场。开发了一种有限元算法，用于同时求解慢蒸发条件下液滴中的蒸汽浓度和流场。有限元解证实了润滑解的准确性，特别是在润滑理论中考虑了液滴平坦度比(液滴高度与半径之比，h/R)中的高阶项以更准确地考虑接触线附近的奇异流动时。
The axisymmetric time-dependent flow field in an evaporating sessile droplet whose contact line is pinned is studied numerically and using an analytical lubrication theory with a zero-shear-stress boundary condition on the free surface of the droplet at low capillary and Reynolds numbers. A finite element algorithm is developed to solve simultaneously the vapor concentration and flow field in the droplet under conditions of slow evaporation. The finite element solution confirms the accuracy of the lubrication solution, especially when terms of higher order in the droplet flatness ratio (the ratio of droplet height to radius, h/R) are included in the lubrication theory to account more accurately for the singular flow near the contact line.