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dc.contributor.authorWan, Minping
dc.contributor.authorOughton, Sean
dc.contributor.authorServidio, Sergio
dc.contributor.authorMatthaeus, William H.
dc.date.accessioned2014-03-31T03:32:41Z
dc.date.available2014-03-31T03:32:41Z
dc.date.copyright2012-04
dc.date.issued2012
dc.identifier.citationWan, M., Oughton, S., Servidio, S., & Matthaeus, W. H. (2012). von Kármán self-preservation hypothesis for magnetohydrodynamic turbulence and its consequences for universality. Journal of Fluid Mechanics, 697, 296-315.en_NZ
dc.identifier.urihttps://hdl.handle.net/10289/8583
dc.description.abstractWe argue that the hypothesis of preservation of shape of dimensionless second- and third-order correlations during decay of incompressible homogeneous magnetohydrodynamic (MHD) turbulence requires, in general, at least two independent similarity length scales. These are associated with the two Elsässer energies. The existence of similarity solutions for the decay of turbulence with varying cross-helicity implies that these length scales cannot remain in proportion, opening the possibility for a wide variety of decay behaviour, in contrast to the simpler classic hydrodynamics case. Although the evolution equations for the second-order correlations lack explicit dependence on either the mean magnetic field or the magnetic helicity, there is inherent implicit dependence on these (and other) quantities through the third-order correlations. The self-similar inertial range, a subclass of the general similarity case, inherits this complexity so that a single universal energy spectral law cannot be anticipated, even though the same pair of third-order laws holds for arbitrary cross-helicity and magnetic helicity. The straightforward notion of universality associated with Kolmogorov theory in hydrodynamics therefore requires careful generalization and reformulation in MHD.en_NZ
dc.format.mimetypeapplication/pdf
dc.language.isoenen_NZ
dc.publisherCambridge University Pressen_NZ
dc.relation.ispartofJournal of Fluid Mechanics
dc.rights© 2012 Cambridge University Pressen_NZ
dc.subjecthomogeneous turbulenceen_NZ
dc.subjectMHD turbulenceen_NZ
dc.subjectturbulence theoryen_NZ
dc.titlevon Kármán self-preservation hypothesis for magnetohydrodynamic turbulence and its consequences for universalityen_NZ
dc.typeJournal Articleen_NZ
dc.identifier.doi10.1017/jfm.2012.61en_NZ
dc.relation.isPartOfJournal of Fluid Mechanicsen_NZ
pubs.begin-page296en_NZ
pubs.editionAprilen_NZ
pubs.elements-id38249
pubs.end-page315en_NZ
pubs.volume697en_NZ


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