Abstract
The turbulent properties of conducting fluids in an external constant magnetic field are known to change with increasing field strength. A study is made of the behavior of the second-order structural function of the velocity field in a homogeneous incompressible turbulent fluid in the presence of an external uniform magnetic field. It is shown that, depending on the magnetic field strength, there may be different governing parameters of the system in both the inertial and dissipative intervals of turbulence. This leads to new spectral scalings that are consistent with experimental ones.
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References
H. Branover, A. Eidelman, E. Golbraikh, and S. S. Moiseev, Turbulence and Structures (Academic, New York, 1999).
A. Alemany, R. Moreau, P. L. Sulem, and U. Frisch, J. Mec. 18(2), 277 (1979).
H. Branover, A. Eidelman, M. Nagorny, and M. Kireev, Progress in Turbulence Research, Ed. by H. Branover and Y. Unger (AIAA, New York, 1994), Vol. 162, p. 64.
J. J. Moreau, C. R. Acad. Sci. (Paris) 252, 2810 (1962).
A. Brissaud, U. Frisch, J. Leorat, et al., Phys. Fluids 16, 1366 (1973).
H. Branover, O. G. Chkhetiani, A. Eidelman, et al., Magnetohydrodynamics 37, 31 (2001).
F. Krause and K.-H. Radler, Mean-Field Magnetohydrodynamics and Dynamo Theory (Pergamon Press, Oxford, 1980), p. 321.
L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Nauka, Moscow, 1986; Pergamon Press, New York, 1987).
A. V. Belyan, S. S. Moiseev, and O. G. Chkhetiani, Preprint No. Pr-1845 (Institute for Space Research, Russian Academy of Sciences, Moscow, 1992); A. V. Belyan, S. S. Moiseev, and O. G. Chkhetiani, Dokl. Akad. Nauk 334, 34 (1994) [Phys. Dokl. 39, 13 (1994)]; A. Belyan, O. Chkhetiani, E. Golbraikh, and S. Moiseev, Physica A (Amsterdam) 258, 55 (1998).
O. G. Chkhetiani, S. S. Moiseev, and E. I. Gol’braikh, Zh. Éksp. Teor. Fiz. 114, 946 (1998) [JETP 87, 513 (1998)].
O. G. Chkhetiani and E. Gol’braikh, Zh. Éksp. Teor. Fiz. (in press).
A. M. Obukhov, J. Fluid Mech. 13, 77 (1962).
A. N. Kolmogorov, La Turbulence en Mecanique des Fluides, Ed. by A. Favre, L. S. G. Kovasznay, R. Dumas, et al. (Gauthier-Villars, Paris, 1961), p. 447.
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Translated from Fizika Plazmy, Vol. 29, No. 6, 2003, pp. 550–554.
Original Russian Text Copyright © 2003 by Golbraikh, Moiseev, Eidelman.
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Golbraikh, E., Moiseev, S.S. & Eidelman, A. Effect of the external magnetic field on the MHD turbulence spectra. Plasma Phys. Rep. 29, 512–516 (2003). https://doi.org/10.1134/1.1582519
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DOI: https://doi.org/10.1134/1.1582519