LARGE-SCALE MAGNET-ROTARY DYNAMO. II. LINEAR THEORY TAKING INTO ACCOUNT EXTERNAL MAGNETIC FIELD
Kopp Mikhail Iosifovich
Kharkov, Ukraine
Abstract. The article analyzes the linear stage of the evolution of large-scale fields (vortex and magnetic ones) in non-homogeneously rotating electro-conductive fluid in axial homogeneous magnetic field with small-scale turbulence. The author has received equations of self-consistent magnet-rotary dynamo and a dispersion equation, the solutions of which describe the evolution of small large-scale turbulences. By numerical methods the researcher has got criteria for the development of large-scale magnet-rotary dynamo, as a result of which large-scale vortex and magnetic fields are generated depending on the profile of the angular velocity of medium rotation, the value of external homogeneous magnetic field and also on their mutual orientation.
Key words and phrases: мелкомасштабная турбулентность, крупномасштабная неустойчивость, магнитовращательная неустойчивость, однородное магнитное поле, а-эффект, small-scale turbulence, large-scale instability, magnet-rotary instability, homogeneous magnetic field, а-effect
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References:
Velikhov E. P. Ustoichivost' techeniya ideal'no provodyashchei zhidkosti mezhdu vrashchayushchimisya tsilindrami v magnitnom pole // Zhurnal eksperimental'noi i teoreticheskoi fiziki. 1959. T. 36. S. 1398-1404.
Gorshunov N. M., Potanin E. P. Vliyanie khollovskikh effektov na ustoichivost' vrashchayushcheisya plazmy // Uspekhi prikladnoi fiziki. 2013. T. 1. № 2. S. 178-182.
Gorshunov N. M., Potanin E. P. Granitsy ustoichivosti vrashchayushcheisya vyazkoi plazmy v magnitnom pole // Uspekhi prikladnoi fiziki. 2014. T. 2. № 1. S. 18-23.
Kopp M. I. Krupnomasshtabnoe magnitovrashchatel'noe dinamo. I. Lineinaya teoriya bez vneshnego magnitnogo polya // Al'manakh sovremennoi nauki i obrazovaniya. 2016. № 4 (106). S. 59-73.
Krauze F., Redler K.-Kh. Magnitnaya gidrodinamika srednikh polei i teoriya dinamo. M.: Mir, 1984. 314 s.
Tur A. V., Yanovskii V. V. Gidrodinamicheskie vikhrevye struktury. Khar'kov: NTK "Institut monokristallov" NAN Ukrainy, 2012. 294 s.
Chandrasekhar S. The Stability of Non-Dissipative Couette Flow in Hydromagnetics // Proceedings of the National Academy of Sciences of the United States of America. 1960. Vol. 46. P. 253-257.
Kirillov O. N., Stefani F., Fukumoto Y. Local Instabilities in Magnetized Rotational Flows: A Short-Wavelength Approach [Elektronnyi resurs]. URL: http://istina.msu.ru/publications/article/7586145/ (data obrashcheniya: 15.02.2016).
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