Two-dimensional point singularity model of a low-Reynolds-number swimmer near a wall

被引：57

作者：

Crowdy, Darren G. ^{[1
]}

Or, Yizhar ^{[2
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Appl Math, London, England

[2] Technion Israel Inst Technol, Fac Mech Engn, IL-32000 Haifa, Israel

来源：

PHYSICAL REVIEW E | 2010年 / 81卷 / 03期

基金：

以色列科学基金会; 英国工程与自然科学研究理事会;

关键词：

HYDRODYNAMIC INTERACTION; SELF-PROPULSION; SLIP; BOUNDARIES;

D O I：

10.1103/PhysRevE.81.036313

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

This paper studies a simple two-dimensional model of a swimmer at low-Reynolds-number near a no-slip wall by utilizing methods of complex analysis. The swimmer is propelled by purely tangential surface deformations and is modeled by moving point singularities. The nonlinear dynamics of the swimmer is formulated explicitly, and its motion near the wall is fully characterized. The results show qualitative agreement with predictions of three-dimensional models and with motion experiments on a robotic swimmer. The success and simplicity of the model suggest that it will provide a simple way to study the dynamics of low-Reynoldsnumber swimmers in more complicated geometries.

引用

页数：7

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