International Conference «Mathematical and Informational Technologies, MIT-2013»
(X Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, September, 5–8, 2013

Budva, Montenegro, September, 9-14, 2013

Холодова С.Е.   Перегудин С.И.  

Reduction in modeling of dynamics of a rotating layer of electrowire incompressible liquid taking into account effects of diffusion of a magnetic field

Reporter: Холодова С.Е.

The purpose of this article is the reduction of system of the equations with the private derivatives, modeling indignation in a layer of ideal electrowire rotating liquid taking into account diffusion of the magnetic field, limited to the surfaces, changing in space and in time, taking into account inertial forces.
For the equations received as a result of a reduction the decisions describing distribution of waves of small amplitude in infinitely extended across a layer and in the narrow long channel are constructed.
In this research it is supposed that borders of a layer aren't constants, and represent the surfaces changing in space and in time; besides, in the equation of movement inertial forces are considered.
For the frequency of fluctuations two accurately being divided branches turn out. The first type of fluctuations is inertial wave. Them the essential role is played by inertia and Coriolis force. Frequency of inertial waves is real, these waves are steady. The second type of fluctuations are magnetic waves. Their frequency is a complex. But that imaginary part of frequency negative, magnetic waves also don't find instability.
Thus, diffusion of a magnetic field promotes its attenuation while in case of a solid field the process which has established in time is observed, i.e. the induced magnetic field can exist as much as long time.

Abstracts file: Перегудин+ Холодова.doc
Full text file: Kholodova_S_E+Peregudin_S_I-MIT-2013.pdf

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