On the dynamics of point vortices in an annular region

被引：4
|
作者：
Erdakova, Nadezhda N. [1 ]
Mamaev, Ivan S. [1 ,2 ]
机构：
[1] Udmurt State Univ, Lab Nonlinear Anal & Design New Types Vehicles, Izhevsk 426034, Russia
[2] Udmurt State Univ, Inst Comp Sci, Izhevsk 426034, Russia
来源：
FLUID DYNAMICS RESEARCH | 2014年 / 46卷 / 03期
关键词：
STABILITY;
D O I：
10.1088/0169-5983/46/3/031420
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This paper reviews the results of stability analysis for polygonal configurations of a point vortex system in an annular region depending on the ratio of the inner and outer radii of the annulus. Conditions are found for linear stability of Thomson's configurations for the case N < 7. The paper also shows that a system of two vortices between parallel walls is a limiting case of a two-vortex system in an annular region, as the radii of the annulus tend to infinity.
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页数：7
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