Multiple steady bubbles in a Hele-Shaw cell
Multiple steady bubbles in a Hele-Shaw cell
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DOI：
10.1098/rspa.2008.0252
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发表时间：
2009-02
期刊：
影响因子：
--
通讯作者：
D. Crowdy
中科院分区：
文献类型：
--
作者：
D. Crowdy
本文提出了新的解决方案，在分析的形式，为一个稳定的共同旅行气泡在Hele-Shaw细胞组装的形状。并导出了相应的速度场。该组件可以由任何有限数量的气泡组成。解决方案表示的Schottky-Klein素函数，并利用多连通共形狭缝映射的结果。
This paper presents new solutions, in analytical form, for the shapes of an assembly of steady co-travelling bubbles in a Hele-Shaw cell. The associated velocity field is also derived. The assembly can consist of any finite number of bubbles. The solutions are expressed in terms of Schottky–Klein prime functions and are derived by exploiting results on multiply connected conformal slit mappings.