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Extended inertial range phenomenology of magnetohydrodynamic turbulenceA phenomenological treatment of the inertial range of isotropic statistically steady magnetohydrodynamic turbulence is presented, extending the theory of Kraichnan (1965). The role of Alfven wave propagation is treated on equal footing with nonlinear convection, leading to a simple generalization of the relations between the times characteristic of wave propagation, convection, energy transfer, and decay of triple correlations. The theory leads to a closed-form steady inertial range spectral law that reduces to the Kraichnan and Kolmogorov laws in appropriate limits. The Kraichnan constant is found to be related in a simple way to the Kolmogorov constant; for typical values of the latter constant, the former has values in the range 1.22-1.87. Estimates of the time scale associated with spectral transfer of energy also emerge from the new approach, generalizing previously presented 'golden rules' for relating the spectral transfer time scale to the Alfven and eddy-turnover time scales.
Document ID
19890064698
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Matthaeus, William H.
(Delaware Univ. Newark, DE, United States)
Zhou, YE
(Bartol Research Institute Newark, DE, United States)
Date Acquired
August 14, 2013
Publication Date
September 1, 1989
Publication Information
Publication: Physics of Fluids B
Volume: 1
ISSN: 0899-8221
Subject Category
Plasma Physics
Accession Number
89A52069
Funding Number(s)
CONTRACT_GRANT: NSF ATM-86-09740
Distribution Limits
Public
Copyright
Other

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