Linear and nonlinear instability of a vortex ring

Yasuhide Fukumoto, Yuji Hattori

研究成果: 著書/レポートタイプへの貢献

抄録

A new linear instability mechanism of curvature origin is established for a vortex ring. The curvature effect reduces O(2) × SO(2) symmetry of a circularcylindrical tube to O(2), and fuels a pair of Kelvin waves whose azimuthal wavenumbers on the core are separated by one. For Kelvin's vortex ring, the growth rate and eigenfunctions are written out in closed form. In the inviscid case, the curvature effect dominates over the elliptically straining effect, but the former suffers from enhanced viscous damping. There are numerous excitable modes. As a first step toward an understanding of the route to a matured stage, we derive equations for weakly nonlinear evolution of amplitudes of the curvature instability. Our direct numerical simulation successfully captures the elliptical instability.

元の言語英語
ホスト出版物のタイトルIUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamicsa
ページ283-294
ページ数12
79
出版物ステータス出版済み - 2006

出版物シリーズ

名前Fluid Mechanics and its Applications
79
ISSN(印刷物)09265112

Fingerprint

Vortex flow
Direct numerical simulation
Eigenvalues and eigenfunctions
Damping

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials
  • Fluid Flow and Transfer Processes

これを引用

Fukumoto, Y., & Hattori, Y. (2006). Linear and nonlinear instability of a vortex ring. : IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamicsa (巻 79, pp. 283-294). (Fluid Mechanics and its Applications; 巻数 79).

Linear and nonlinear instability of a vortex ring. / Fukumoto, Yasuhide; Hattori, Yuji.

IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamicsa. 巻 79 2006. p. 283-294 (Fluid Mechanics and its Applications; 巻 79).

研究成果: 著書/レポートタイプへの貢献

Fukumoto, Y & Hattori, Y 2006, Linear and nonlinear instability of a vortex ring. : IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamicsa. 巻. 79, Fluid Mechanics and its Applications, 巻. 79, pp. 283-294.
Fukumoto Y, Hattori Y. Linear and nonlinear instability of a vortex ring. : IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamicsa. 巻 79. 2006. p. 283-294. (Fluid Mechanics and its Applications).
Fukumoto, Yasuhide ; Hattori, Yuji. / Linear and nonlinear instability of a vortex ring. IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamicsa. 巻 79 2006. pp. 283-294 (Fluid Mechanics and its Applications).
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