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To the theory vortex dynamo in the astrophysical disk with a gyrotropic turbulence
A. V. Kolesnichenko Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Abstract:
The problem of formation large and mesoscale coherent vortex structures in a gyrotropic turbulence of the rotaried non-magnetic astrophysical disk surveyed, which one did not yield earlier to
examination, as the action of an inverse stage of energy on changes of aircraft attitude of a turbulence of this space object was leave outed. The developed phenomenological theory of a disk
mirror — asymmetrical turbulence has filled a gap due to insert in model of the mechanism vortex
dynamo, accountable (at suitable definition of a tensor of shift turbulent stresses of Reynolds) for
energy flow from shallow vortexes to large, which one can be interpreted as effect of negative
viscosity. The insert of this device in model of a gyrotropic turbulence gives in modification of
rheological relations for a turbulent flow of heat and tensor of turbulent stresses, and also to some
number of the padding developmental equations for quantities such as turbulent energy, velocity
of a dissipation, average vorticity and average vortex helicity. The role of a vortex helicity in origin of an inverse energy stage and bound with it process of oscillation of power-intensive coherent vortex formations incipient in a gyrotropic turbulence at major Reynolds numbers is considered.
It is drawn a conclusion, that on a measure of more and more reliable endorsement in numerical
experiments of the concept of an inverse stage of energy in a three-dimensional gyrotropic turbulence, registration of effect vortex dynamo, influential on synergetic structuring of space matter
in the astrophysical non-magneticdisc, gains the relevant role at its model operation.
Keywords:
continuum mechanics, gyrotropic turbulence, dynamo.
Received: 29.03.2011
Citation:
A. V. Kolesnichenko, “To the theory vortex dynamo in the astrophysical disk with a gyrotropic turbulence”, Matem. Mod., 24:4 (2012), 31–56
Linking options:
https://www.mathnet.ru/eng/mm3257 https://www.mathnet.ru/eng/mm/v24/i4/p31
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Abstract page: | 369 | Full-text PDF : | 152 | References: | 51 | First page: | 12 |
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