论文标题
浮力和毛细血管对浮动液态镜头的影响
Buoyancy and capillary effects on floating liquid lenses
论文作者
论文摘要
我们研究液态液滴的平衡形状，该液滴位于液体表面（即浮动镜头）上。我们考虑在非湿润情况下（负扩散因子）以及重力的影响。当可以忽略重力时，我们获得了滴加形状的分析表达式。也许令人惊讶的是，当在分析中包括重力时，我们发现了两个不同的平衡溶液系列，用于相同的物理参数。这些溶液对应于质量中心在外部液体表面水平以上或低于质量中心的滴剂。通过精力充沛的考虑，我们确定了具有最小能量的家庭，因此在自然界中最有可能发现。对两种类型的解决方案之间的几何差异进行了详细的解释。
We study the equilibrium shape of a liquid drop resting on top of a liquid surface, i.e., a floating lens. We consider the surface tension forces in non--wetting situations (negative spreading factor), as well as the effects of gravity. We obtain analytical expressions for the drop shape when gravity can be neglected. Perhaps surprisingly, when including gravity in the analysis, we find two different families of equilibrium solutions for the same set of physical parameters. These solutions correspond to drops whose center of mass is above or below the level of the external liquid surface. By means of energetic considerations we determine the family that has the smallest energy, and therefore is the most probable to be found in nature. A detailed explanation of the geometrical differences between the both types of solutions is provided.
