Circulation-induced shape deformations of drops and bubbles: Exact two-dimensional models
Circulation-induced shape deformations of drops and bubbles: Exact two-dimensional models
复制标题
循环引起的液滴和气泡的形状变形：精确的二维模型
DOI：
10.1063/1.870142
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发表时间：
1999
影响因子：
4.6
通讯作者：
D. Crowdy
中科院分区：
文献类型：
--
作者：
D. Crowdy
本文提出了一个简单的二维数学模型，用于理解流体动力学问题，即环流如何影响有表面张力的无粘液滴和气泡的自由表面形状。这一理论范式对科学的许多领域都很感兴趣，包括化学工程中的大规模运输过程。求出了该数学模型有限振幅稳态平衡点的精确解。在气泡的情况下，平衡态一直存在到稳定的毛细管夹断，在夹断之前的气泡具有较大的周长与面积比。
In this paper simple two-dimensional mathematical models for understanding the fluid dynamical problem of how circulation affects the free surface shapes of inviscid drops and bubbles with surface tension are presented. This theoretical paradigm is of interest in many areas of science including large-scale transport processes in chemical engineering. Exact solutions for the finite-amplitude steady-state equilibria of the mathematical models are found. Equilibrium states are shown to exist right up to steady capillary pinch-off in the case of a bubble, the bubbles just before pinch-off having large perimeter-to-area ratios.