The effects of Joule heat on turbulent dispersion of temperature in high Reynolds number flow

The application of a uniform rate-of-strain model to derive the high-wavenumber portion of the temperature fluctuation spectrum is presented. The spectral results obtained, for this particular problem, display an enhancement in the strength of the fine-scale temperature fluctuations over that which would exist with no magnetic field present. This enhancement is the result of the dissipation of magnetic energy into Joule heat and manifests itself in the form of the spectrum function. This form depends strongly on the averaged rates-of-strain of the flow as well as on certain other parameters characteristic of the flow and fluid properties.