Abstract
In this paper, we find a new large scale instability in rotating flow forced turbulence. The turbulence is generated by a small scale external force at low Reynolds number. The theory is built on the rigorous asymptotic method of multi-scale development. The nonlinear equations for the instability are obtained at the third order of the perturbation theory. In this article, we explain the nonlinear stage of the instability and the generation vortex kinks.
Highlights
It is well known, that the rotating effects play an important role in many practical and theoretical applications for fluid mechanics [1] and are especially important for geophysics and astrophysics [2] [3] when one has to deal with rotating objects such as Earth, Jupiter and Sun
We find the new large scale instability in rotating fluid, under impact of small external force which keeps up turbulent fluctuations
In this work we find the new large scale instability in rotating fluid
Summary
That the rotating effects play an important role in many practical and theoretical applications for fluid mechanics [1] and are especially important for geophysics and astrophysics [2] [3] when one has to deal with rotating objects such as Earth, Jupiter and Sun. We can state that there are a lot of instabilities which generate the large scale vortex structures (see for example [8]-[14]), in particular, in rotating fluid with the non-homogeneous turbulence [15]. We find the new large scale instability in rotating fluid, under impact of small external force which keeps up turbulent fluctuations. The α-effect is taking its origins from magnetic hydrodynamics, where it engenders the increase of large scale magnetic fields (see for example [16]). From this point of view, in this work we found a new example of α-effect The theory of this instability is developed rigourously using the method of asymptotic multi-scale development, similar to what was done by Frisch, She and Sulem for the theory of the AKA effect [13].
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