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Convection theory before relaxation

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Abstract

The well known mixing length theory of convection is revised for times shorter than the effective time of relaxation into diffusion.

Using the Cattaneo equation for the heat flux, we show that the revised theory predicts, before relaxation, a convective flux which is quite different from the flux obtained with the Maxwell-Fourier law.

Implications of this result in the outcome of some astrophysical processes are commented upon.

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Herrera, L., Falcón, N. Convection theory before relaxation. Astrophys Space Sci 234, 139–152 (1995). https://doi.org/10.1007/BF00627288

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  • DOI: https://doi.org/10.1007/BF00627288

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