An assembly of steadily translating bubbles in a Hele-Shaw channel
An assembly of steadily translating bubbles in a Hele-Shaw channel
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Hele-Shaw 通道中稳定平移气泡的集合
DOI：
10.1088/0951-7715/22/1/004
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发表时间：
2009
期刊：
影响因子：
1.7
通讯作者：
Crowdy D
中科院分区：
文献类型：
--
作者：
Crowdy D
本文给出了任意有限个气泡沿Hele-Shaw通道沿着平稳运动的新解。这就构成了一个非线性自由边界问题。这些解可以用一个特殊的超越函数来表示，这个函数叫做Schottky-Klein素函数。这项工作推广了Tanveer（1987 Phys. Fluids 30 651-8）发现的通道中单个气泡的精确解以及Vasconcelos（1994 Phys.Rev.E50 R3306-9）发现的沿通道中心线沿着的气泡流的解。
This paper presents new solutions for any finite number of bubbles steadily translating along a Hele–Shaw channel. This constitutes a nonlinear free boundary problem. The solutions can be written down explicitly in terms of a special transcendental function called the Schottky–Klein prime function. This work generalizes the exact solutions for a single bubble in a channel found by Tanveer (1987 Phys. Fluids 30 651–8) as well as the solutions for streams of bubbles aligned along the channel centreline due to Vasconcelos (1994 Phys. Rev. E 50 R3306–9).