The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking

Volchenkov D (2001)
INTERNATIONAL JOURNAL OF MODERN PHYSICS B 15(08): 1147-1164.

Journal Article | Published | English

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Abstract
The model of a large-scale injection into a turbulent flow of immiscible fluid is considered. The long-time, large-scale asymptotic behavior of the energy dissipation rate epsilon is analyzed in the framework of renormalization group approach. It is shown that if the ordinary Kolmogorov dissipation regime (epsilon = const, in the inertial range) becomes unstable, the alternative asymptotic behavior would come true. In contrast to the standard Navier-Stokes turbulence, the alternative dissipation spectrum epsilon (k) has a minimum, which means that an optimal eddy size l exists in the model. This phenomenon provokes the flow into turbulence damping (the "bending effect" in combustion) or stimulates the magnetohydrodynamic system to a generation of a large-scale mean magnetic field ("turbulent dynamo" effect).
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Volchenkov D. The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking. INTERNATIONAL JOURNAL OF MODERN PHYSICS B. 2001;15(08):1147-1164.
Volchenkov, D. (2001). The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 15(08), 1147-1164.
Volchenkov, D. (2001). The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking. INTERNATIONAL JOURNAL OF MODERN PHYSICS B 15, 1147-1164.
Volchenkov, D., 2001. The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 15(08), p 1147-1164.
D. Volchenkov, “The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking”, INTERNATIONAL JOURNAL OF MODERN PHYSICS B, vol. 15, 2001, pp. 1147-1164.
Volchenkov, D.: The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking. INTERNATIONAL JOURNAL OF MODERN PHYSICS B. 15, 1147-1164 (2001).
Volchenkov, Dimitry. “The bending instability in the vorticity transport through a turbulent flow. Feedback chaos controlling and dynamical symmetry breaking”. INTERNATIONAL JOURNAL OF MODERN PHYSICS B 15.08 (2001): 1147-1164.
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