Department of Mechanical Engineering, University of California, Santa Barbara, CA 93106.
Proc Natl Acad Sci U S A. 2022 Mar 29;119(13):e2120893119. doi: 10.1073/pnas.2120893119. Epub 2022 Mar 23.
SignificanceThe pinch-off of a liquid drop extruded from a nozzle is a canonical situation that involves a series of self-similar regimes ending in a finite-time singularity. This configuration allows for exploring capillary flows over a large range of scales. In the case of suspension drops, the presence of particles breaks the self-similarity by introducing a length scale that can be much larger than the particle diameter. This length scale is a signature of the heterogeneities and delimitates a regime, in which a continuum approach of a suspension can be used from a regime where the discrete nature of the particles is involved.
意义从喷嘴挤出的液滴的切断是一种典型情况，涉及一系列自相似的状态，最终在有限时间内达到奇点。这种配置允许在很大的尺度范围内探索毛细流动。在悬浮液滴的情况下，颗粒的存在通过引入比颗粒直径大得多的长度尺度来破坏自相似性。这个长度尺度是异质性的特征，并划定了一个区域，在这个区域中，悬浮液的连续体方法可以从涉及颗粒离散性质的区域中使用。
