Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-23 DOI:10.1007/s00021-023-00847-y

Tomasz Cieślak, Piotr Kokocki, Wojciech S. Ożański

引用次数: 0

Abstract

We consider Alexander spirals with \(M\ge 3\) branches, that is symmetric logarithmic spiral vortex sheets. We show that such vortex sheets are linearly unstable in the \(L^\infty \) (Kelvin–Helmholtz) sense, as solutions to the Birkhoff–Rott equation. To this end we consider Fourier modes in a logarithmic variable to identify unstable solutions with polynomial growth in time.

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对称对数螺旋涡旋片的线性不稳定性

Abstract We consider Alexander spirals with \(M\ge 3\) branches, that is symmetric logarithmic spiral vortex sheets.我们证明，作为伯克霍夫-罗特方程的解，这种涡旋片在（L^\infty \）（Kelvin-Helmholtz）意义上是线性不稳定的。为此，我们考虑了对数变量中的傅立叶模式，以确定在时间上具有多项式增长的不稳定解。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.