Nonlinear Vortex Structures in Obliquely Rotating Fluid

• 作者: Anatoly Tur Michael Kopp Vladimir Yanovsky
• 来源期刊: 流体动力学(英文)
• 学科: 数学
• 关键词: Large SCALE VORTEX Instability CORIOLIS Force MULTI-SCALE Asymptotic Development Small SCALE TURBULENCE VORTEX KINKS
• 年，卷（期）: 2015,（4）
• 页码范围: 311-321
• 页数: 11页
• 分类号: O1

摘要

In this paper, we find a new large scale instability which appears in obliquely rotating flow with the small scale turbulence, generated by external force with small Reynolds number. The external force has no helicity. The theory is based on the rigorous method of multi-scale asymptotic expansion. Nonlinear equations for instability are obtained in the third order of the perturbation theory. In this article, we explain in detail the nonlinear stage of the instability and we find the nonlinear periodic vortices and the vortex kinks of Beltrami type.