A two-dimensional model of low-Reynolds number swimming beneath a free surface
A two-dimensional model of low-Reynolds number swimming beneath a free surface
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DOI：
10.1017/jfm.2011.223
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发表时间：
2011-08-01
影响因子：
3.7
通讯作者：
Hosoi, A. E.
中科院分区：
文献类型：
--
作者：
Crowdy, Darren;Lee, Sungyon;Hosoi, A. E.
在低雷诺数下游动的生物常常受到刚性边界和软界面的影响。在本文中，我们给出了一个具有表面张力的自由表面附近运动的分析。利用简化的二维奇异模型并结合保角映射技术的复杂变量方法，我们证明了可以利用自由表面的变形来产生平行于界面的稳定运动。关键的物理因素在于游泳者产生的扰动流与流体表面的自由边界问题之间的非线性水动力耦合。
Biological organisms swimming at low-Reynolds number are often influenced by the presence of rigid boundaries and soft interfaces. In this paper, we present an analysis of locomotion near a free surface with surface tension. Using a simplified two-dimensional singularity model and combining a complex variable approach with conformal mapping techniques, we demonstrate that the deformation of a free surface can be harnessed to produce steady locomotion parallel to the interface. The crucial physical ingredient lies in the nonlinear hydrodynamic coupling between the disturbance flow created by the swimmer and the free boundary problem at the fluid surface.