论文标题
薄膜液滴的稳态在化学异质底物上
Steady-states of thin film droplets on chemically heterogeneous substrates
论文作者
论文摘要
我们研究了有限尺寸的化学异质底物上的稳态薄膜，但要遵守不畅通的边界条件。根据分叉图的结构，我们将这些底物上存在的一维稳态溶液分类为六个不同的分支，并为每个分支上的稳态发展渐近估计。我们使用扰动扩展显示，领先的订单解决方案可以很好地预测逐步模式底物上稳态薄膜的良好预测。一个维度的分析可以扩展到轴对称溶液。我们还研究了润湿性对比对线性稳定性和动力学的影响。结果还用于描述在微流体应用中使用的亲水平方斑和条纹区域上的二维液滴。
We study steady-state thin films on a chemically heterogeneous substrates of finite size, subject to no-flux boundary conditions. Based on the structure of the bifurcation diagram, we classify the one-dimensional steady-state solutions that exist on such substrates into six different branches and develop asymptotic estimates for the steady-states on each branch. We show using perturbation expansions, that leading order solutions provide good predictions of the steady-state thin films on stepwise-patterned substrates. The analysis in one dimension can be extended to axisymmetric solutions. We also examine the influence of the wettability contrast on linear stability and dynamics. Results are also applied to describe two-dimensional droplets on hydrophilic square patches and striped regions used in microfluidic applications.
