The invariant theory of isotropic turbulence in magneto-hydrodynamics. II

Chandrasekhar, S. (1951) The invariant theory of isotropic turbulence in magneto-hydrodynamics. II Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 207 (1090). pp. 301-306. ISSN 1364-5021

Full text not available from this repository.

Official URL: http://rspa.royalsocietypublishing.org/content/207...

Related URL: http://dx.doi.org/10.1098/rspa.1951.0118

Abstract

In this paper the invariant theory of isotropic turbulence in magneto-hydrodynamics developed by the writer in a recent paper is extended to include the correlations {Pui'uj'} and {Phi'hj'}, of the total pressure, P (= p + ½ρ|h|2), with two components either of the velocity, (ui), or of the magnetic field, (hi). It is shown how the scalars defining these tensors can be expressed in terms of the scalars defining the second-order correlations {uiuj'}, {uihj'} and {hihj'} if the fourth-order correlations of two components of velocity (respectively, magnetic field) at one point, with two components of velocity or magnetic field at another point, can be assumed to be related to the second-order correlations in the same manner as if they were jointly, normally, distributed.

Item Type:Article
Source:Copyright of this article belongs to The Royal Society.
ID Code:74374
Deposited On:12 Dec 2011 05:07
Last Modified:12 Dec 2011 05:07

Repository Staff Only: item control page