Determination of the correlations containing fluctuations of electrical parameters in turbulent magnetohydrodynamic flow (Q1081492)

The construction of arbitrary computation and theoretical models in order to describe turbulent magnetohydrodynamic (MHD) flows makes it necessary to calculate additional single-point correlation moments in which fluctuations of electromagnetic parameters occur. We restrict ourselves to second-order moments only, it is essential in the case of homogeneous conductivity to determine correctly the correlations \(<E'{}^ 2>\), and \(<u'E'>\), and \(<u'\times E'>\) which occur in the equations describing turbulent MHD flow. These correlations will be called M correlations. The correlations can be calculated if we know the data on the second-order correlation moments for the velocity fluctuation field (we shall call these the \(M^*\) correlations). All the M correlations are determined successively for one of the most important and interesting cases, that in which the \(M^*\) correlations are approximated by the homogeneous isotropic turbulence model.