瞬态钉扎对斜面上液滴稳定性的影响

Contact angle hysteresis effects on a drop sitting on an incline plane

We study the contact angle hysteresis and morphology changes of a liquid drop sitting on a solid substrate inclined with respect to the horizontal at an angle $α$. This one is always smaller than the critical one, $α_{crit}$, above which the drop would start to slide down. The hysteresis cycle is performed for positive and negative $α$'s ($|α|<α_{crit}$), and a complete study of the changes in contact angles, free surface and footprint shape is carried out. The drop shape is analyzed in terms of a solution of the equilibrium pressure equation within and out of the long--wave model (lubrication…

倾斜平板上的液滴：钉扎毛细表面的局部和整体滞后

Droplets on Inclined Plates: Local and Global Hysteresis of Pinned Capillary Surfaces

局部接触线钉扎防止液滴重新排列到最小的全局能量，并且没有钉扎的液滴模型不能预测它们的形状。我们表明，实验更好地描述了一个理论，在这里开发的，不占约束接触线运动，作为例子液滴倾斜板。我们在合适的相空间中绘制出它们的形状。对于二维液滴，最大倾斜的临界点取决于滞后范围和Bond数。在3D中，它还取决于初始宽度，突出了沉积历史的重要性。

倾斜非均匀基底上的液滴：滑动运动的开始

Drops on an inclined heterogeneous substrate: onset of sliding motion

研究了液滴在倾斜非均匀基底上的钉扎和退钉扎随倾斜度和非均匀性幅度的变化规律。两种类型的异质性被认为是：一个疏水性的缺陷，阻止液滴在前面，和一个亲水性的，它在后面举行。两种不同类型的脱钉导致的滑动运动被确定，并由此产生的粘滑运动进行了数值研究。

滑动液滴在倾斜表面的不对称冻结

Asymmetric freezing of a sliding droplet on an inclined surface

研究通过数值模拟探讨了液滴在倾斜冷表面滑动过程中冻结的不对称性，分析了重力、毛细力和固态化动力学对液滴运动、界面变形及冻结形态的影响，揭示了滑动对冻结不对称性主导作用及冰尖形成机制。

变分方法用于不平整固体表面上的液滴运动，包括接触线动力学和蒸发

Variational approach to droplet motion on uneven solid surfaces, including contact line dynamics and evaporation

本文通过变分动力学方法推导了不平整表面液膜和液滴的动力学方程，研究了接触线动力学及蒸发过程，揭示了液滴在倾斜刻痕表面的滞留与滑动现象。

Wetting States of Two-Dimensional Drops under Gravity

An analytical model is proposed for the Young-Laplace equation of two-dimensional (2D) drops under gravity. Inspired by the pioneering work of Landau & Lifshitz (1987), we derive analytical expressions of the profile of drops on flat surfaces, for arbitrary contact angles and drop volume. We then extend our theory for drops on inclined surfaces and reveal that the contact line plays a key role on the wetting state of the drops: (1) when the contact line is completely pinning, the advancing and receding contact angles and the shape of the drop can be uniquely determined by the predefined drople…