The growth of hot reduced density channels in gases due to turbulence and heat conduction

Turbulence causes hot, reduced density channels in gases to dissipate rapidly. The scaling of channel radius with time is predicted using the averaged governing equations of fluid motion and the assumption of pseudo-self-similar expansion. Correlation terms in the governing equations are replaced by terms proportional to an eddy diffusivity and including the average fluid properties. The diffusive growth thus predicted is compared to experimental results and to the normal heat conduction limit.