长期出现的液体膜的动态,经历了热毛细管的不稳定性
Steven A Kedda1, Michael C Dallaston1, Scott W McCue1
1School of Mathematical Sciences, <a href="https://ror.org/03pnv4752">Queensland University of Technology</a>, Brisbane, QLD 4001, Australia.
Physical review. E
|October 19, 2024
概括
研究人员研究了粘性薄膜流动,观察了一连串独特的卫星滴. 他们在一个重新缩放的系统中发现了新的,不断发展的行为,与之前观察到的离散自我相似性不同.
科学领域:
- 流体动力学 流体动力学
- 非线性局部微分方程 不线性局部微分方程
- 表面现象 表面现象
背景情况:
- 粘性薄膜流是通过非线性局部微分方程建模的.
- 表面张力和热毛囊效应之间的相互作用推动了复杂的动态.
研究的目的:
- 调查薄膜流动模型,重点关注表面张力和热毛细管马兰戈尼效应.
- 分析长期极限行为,特别是卫星水滴的形成.
主要方法:
- 使用空间和时间重新缩放的坐标系的计算解决方案.
- 延长了远远超过之前研究的观察时间框架.
- 在薄膜方程中分析离散的自我相似性.
主要成果:
- 观测到无限级联的卫星滴在消失的薄膜厚度附近.
- 重缩系统的动态与以前已知的离散自相似的流动有所不同.
- 该系统显示了单调的进化在缩放时间方面的方面,而不是定居于周期性解决方案.
结论:
- 这项研究揭示了在特定条件下的薄膜动态中的新,不断发展的行为.
- 这些发现表明流体动力学中未经探索的离散自我相似性的形式.
- 薄膜的长期行为可以表现出复杂的,非周期性的进化.
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