Instability of a cylinder in the circulation flow of incompressible ideal fluid

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.08.007

V.F. Kopiev , S.A. Chernyshev , M.A. Yudin

引用次数: 5

Abstract

Within the framework of two-dimensional Euler equations, the stability is investigated of a system consisting of an inner unfastened round cylinder, an incompressible fluid flow around this cylinder with circular streamlines, and an outer fastened cylinder (vessel). An equation is obtained for the natural frequencies with different mean flows between the cylinders. Accurate solutions of this equation are derived and an analysis of these solutions is given. An energetic investigation of the loss of stability in the system is carried out.

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不可压缩理想流体循环流动中圆柱体的不稳定性

在二维欧拉方程的框架内，研究了一个由内部不紧固的圆圆柱体、围绕该圆柱体以圆形流线流动的不可压缩流体和外部紧固的圆柱体(容器)组成的系统的稳定性。得到了圆柱间不同平均流量下的固有频率方程。导出了该方程的精确解，并对这些解进行了分析。对系统稳定性的丧失进行了有力的研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.