Abstract

A two-point, two-time approach is attempted for the final period of decay of turbulence in an external, homogeneous magnetic field. Two-point, two-time correlation and spectral equations are obtained by considering the equations of fluid and electrodynamics for two points in a turbulent fluid at two different times. Solutions, corresponding to any given initial distribution, are obtained by assuming that the turbulence is weak enough for second-order truncation approximations to be applicable. The analysis shows that pronounced axisymmetric properties are developed in this case, turbulence elements with small extensions in the direction of the field and with large time separations being damped relatively rapidly under normal physical conditions. In its final period, the decay is governed by both periodic and non-periodic motions.

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