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Non Linear Vortex Structures in Stratified Fluid Driven by Small-Scale Helical Force

Open Journal of Fluid Dynamics 2013年第2期3卷 64-74页

作者： Anatoly Tur vladimir yanovsky Institute for Single Cristals Nat. Academy of Science Ukraine Kharkov Ukraine Université de Toulouse [UPS] CNRS Institut de Recherche en Astrophysique et PlanétologieToulouse Cedex France

In this work, we consider the effect of a small-scale helical driving force on fluid with a stable temperature gradient with Reynolds number . At first glance, this system does not have any instability. However, we show that a large scale vortex instability appears in the fluid despite its stable stratification. In a non-linear mode this instability becomes saturated and gives a large number of stationary spiral vortex structures. Among these structures there is a stationary helical soliton and a kink of the new type. The theory is built on the rigorous asymptotical method of multi-scale development.

关键词： Vortex Structures Large Scale Instability Small Scale Helical Force AKA-Effect

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Nonlinear Vortex Structures in Obliquely Rotating Fluid

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Open Journal of Fluid Dynamics 2015年第4期5卷 311-321页

作者： Michael Kopp Anatoly Tur vladimir yanovsky Institute for Single Crystals National Academy of Sciences of Ukraine Kharkov Ukraine V.N. Karazin Kharkiv National University 4 Svobody Sq. Kharkov Ukraine Université 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.

关键词： Large Scale Vortex Instability Coriolis Force Multi-Scale Asymptotic Development Small Scale Turbulence Vortex Kinks

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A New Large Scale Instability in Rotating Stratified Fluids Driven by Small Scale Forces

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Open Journal of Fluid Dynamics 2013年第4期3卷 340-351页

作者： Anatoly Tur Malik Chabane vladimir yanovsky Institute for Single Crystals National Academy of Science Ukraine Kharkov Ukraine Université de Toulouse [UPS] Centre National de la Recherche Scientifique Institut de Recherche en Astrophysique et Planétologie Toulouse France

In this paper, we find a new large scale instability displayed by a stratified rotating flow in 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. There is no other special constraint concerning the force. In previous papers, the force was either helical or violating parity invariance. The nonlinear equations for the instability are obtained at the third order of the perturbation theory. In this article, we explain a detailed study of the linear stage of the instability.

关键词： Large Scale Vortex Instability Coriolis Forse Buoyancy Multi-Scale Development Small Scale Turbulence

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The Large Scale Instability in Rotating Fluid with Small Scale Force

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Open Journal of Fluid Dynamics 2015年第2期5卷 128-138页

作者： Michael Kopp Anatoly Tur vladimir yanovsky National Academy of Science Ukraine Institute for Single Crystals Kharkiv University Kharkov Ukraine Institut de Recherche en Astrophysique et Planétologie CNRS Université de Toulouse [UPS] Toulouse France

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.

关键词： Large Scale Vortex Instability Coriolis Force Multi-Scale Development Small Scale Turbulence Vortex Kinks

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