Coaxial axisymmetric vortex rings: 150 years after Helmholtz
Coaxial axisymmetric vortex rings: 150 years after Helmholtz
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DOI：
10.1007/s00162-009-0148-z
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发表时间：
2010-03
影响因子：
3.4
通讯作者：
V. Meleshko
中科院分区：
文献类型：
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作者：
V. Meleshko
这篇文章讲述了经典的亥姆霍兹论文150年的迷人历史，奠定了涡动力学的基础。在涡运动的一般定理中，特别是圆涡丝和轴对称涡环的特殊部分。本文的目的是澄清一些纯数学问题与戴森模型的同轴涡环在无粘不可压缩流体和涡环相互作用的实验，分析和数值研究的成就提供了一个历史性的概述。通过无界流体中多个涡环的规则运动和混沌运动的例子说明了该模型。
This article addresses the fascinating 150 years history of the classical Helmholtz paper that laid the foundation of the vortex dynamics. Among general theorems on vortex motion, this memoir contains the special section on circular vortex filaments and axisymmetric vortex rings, in particular. The objective of this article is both to clarify some purely mathematical questions connected with the Dyson model of coaxial vortex rings in inviscid incompressible fluid and to provide a historical overview of achievements in experimental, analytical, and numerical studies of vortex rings interactions. The model is illustrated by several examples both of regular and chaotic motion of several vortex rings in an unbounded fluid.