NONLINEAR DYNAMO IN A ROTATING ELECTRICALLY CONDUCTING FLUID
We found a new large-scale instability, which arises in the rotating conductive fluid with small-scale turbulence. Turbulence is generated by small-scale external force with a low Reynolds number. The theory is built simply by the method of multiscale asymptotic expansions. Nonlinear equations for v...
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| Format: | Article |
| Language: | English |
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V.N. Karazin Kharkiv National University Publishing
2017-05-01
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| Series: | East European Journal of Physics |
| Subjects: | |
| Online Access: | http://periodicals.karazin.ua/eejp/article/view/8555 |
| _version_ | 1818130188983074816 |
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| author | M. I. Kopp A. V. Tur V. V. Yanovsky |
| author_facet | M. I. Kopp A. V. Tur V. V. Yanovsky |
| author_sort | M. I. Kopp |
| collection | DOAJ |
| description | We found a new large-scale instability, which arises in the rotating conductive fluid with small-scale turbulence. Turbulence is generated by small-scale external force with a low Reynolds number. The theory is built simply by the method of multiscale asymptotic expansions. Nonlinear equations for vortex and magnetic perturbations obtained in the third order for small Reynolds number. It is shown that the combined effects of the Coriolis force and the small external forces in a rotating conducting fluid possible large-scale instability. The large-scale increments of the instability, correspond to generation as the vortex and magnetic disturbances. This type of instability is classified as hydrodynamic and MHD alpha-effect. We studied the stationary regimes of nonlinear equations of magneto-vortex dynamo. In the limit of weakly conducting fluid found stationary solutions in the form of helical kinks. In the limit of high conductivity fluid was obtained stationary solutions in the form of nonlinear periodic waves and kinks. |
| first_indexed | 2024-12-11T08:01:05Z |
| format | Article |
| id | doaj.art-d7b68afca60943fcb561467887b83ac8 |
| institution | Directory Open Access Journal |
| issn | 2312-4334 2312-4539 |
| language | English |
| last_indexed | 2024-12-11T08:01:05Z |
| publishDate | 2017-05-01 |
| publisher | V.N. Karazin Kharkiv National University Publishing |
| record_format | Article |
| series | East European Journal of Physics |
| spelling | doaj.art-d7b68afca60943fcb561467887b83ac82022-12-22T01:15:06ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392017-05-01414278397NONLINEAR DYNAMO IN A ROTATING ELECTRICALLY CONDUCTING FLUIDM. I. Kopp0A. V. Tur1V. V. Yanovsky2Institute for Single Cristals, Nat. Academy of Science Ukraine, Lenine Ave.60, Kharkov 31001,UkraineUniversite Toulouse [UPS], CNRS, Institute of Research for Astrophysics and Planetology 9 avenue du Colonel Roche, BP 44346, 31028 Toulouse Cedex 4, FranceInstitute for Single Cristals, Nat. Academy of Science Ukraine, Lenine Ave.60, Kharkov 31001,Ukraine V.N. Karazin Kharkiv National University Sq. Svobody 4, Kharkiv, 61022 UkraineWe found a new large-scale instability, which arises in the rotating conductive fluid with small-scale turbulence. Turbulence is generated by small-scale external force with a low Reynolds number. The theory is built simply by the method of multiscale asymptotic expansions. Nonlinear equations for vortex and magnetic perturbations obtained in the third order for small Reynolds number. It is shown that the combined effects of the Coriolis force and the small external forces in a rotating conducting fluid possible large-scale instability. The large-scale increments of the instability, correspond to generation as the vortex and magnetic disturbances. This type of instability is classified as hydrodynamic and MHD alpha-effect. We studied the stationary regimes of nonlinear equations of magneto-vortex dynamo. In the limit of weakly conducting fluid found stationary solutions in the form of helical kinks. In the limit of high conductivity fluid was obtained stationary solutions in the form of nonlinear periodic waves and kinks.http://periodicals.karazin.ua/eejp/article/view/8555equations of magnetohydrodynamicsCoriolis forcemultiscale asymptotic expansionssmall-scale turbulenceα- effectspiral kinks |
| spellingShingle | M. I. Kopp A. V. Tur V. V. Yanovsky NONLINEAR DYNAMO IN A ROTATING ELECTRICALLY CONDUCTING FLUID East European Journal of Physics equations of magnetohydrodynamics Coriolis force multiscale asymptotic expansions small-scale turbulence α- effect spiral kinks |
| title | NONLINEAR DYNAMO IN A ROTATING ELECTRICALLY CONDUCTING FLUID |
| title_full | NONLINEAR DYNAMO IN A ROTATING ELECTRICALLY CONDUCTING FLUID |
| title_fullStr | NONLINEAR DYNAMO IN A ROTATING ELECTRICALLY CONDUCTING FLUID |
| title_full_unstemmed | NONLINEAR DYNAMO IN A ROTATING ELECTRICALLY CONDUCTING FLUID |
| title_short | NONLINEAR DYNAMO IN A ROTATING ELECTRICALLY CONDUCTING FLUID |
| title_sort | nonlinear dynamo in a rotating electrically conducting fluid |
| topic | equations of magnetohydrodynamics Coriolis force multiscale asymptotic expansions small-scale turbulence α- effect spiral kinks |
| url | http://periodicals.karazin.ua/eejp/article/view/8555 |
| work_keys_str_mv | AT mikopp nonlineardynamoinarotatingelectricallyconductingfluid AT avtur nonlineardynamoinarotatingelectricallyconductingfluid AT vvyanovsky nonlineardynamoinarotatingelectricallyconductingfluid |