Author(s)

Michael Kopp^1,2, Anatoly Tur³, Vladimir Yanovsky^1,2

¹Institute for Single Crystals, National Academy of Sciences of Ukraine, Kharkov, Ukraine.
²V.N. Karazin Kharkiv National University 4 Svobody Sq., Kharkov, Ukraine.
³Université de Toulouse [UPS], CNRS, Institut de Recherche en Astrophysique et Planétologie, Toulouse Cedex, France.

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.

Large Scale Vortex Instability, Coriolis Force, Multi-Scale Asymptotic Development, Small Scale Turbulence, Vortex Kinks

Kopp, M. , Tur, A. and Yanovsky, V. (2015) Nonlinear Vortex Structures in Obliquely Rotating Fluid. Open Journal of Fluid Dynamics, 5, 311-321. doi: 10.4236/ojfd.2015.54032.