Nonlinear diffusion model for Rayleigh-Taylor mixing

Details Nonlinear diffusion model for Rayleigh-Taylor mixing Nonlinear diffusion model for Rayleigh-Taylor mixing

2010-01-18

arxiv.org/abs/1001.2995v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figure, PRL in press

Scientific paper

The complex evolution of turbulent mixing in Rayleigh-Taylor convection is studied in terms of eddy diffusiviy models for the mean temperature profile. It is found that a non-linear model, derived within the general framework of Prandtl mixing theory, reproduces accurately the evolution of turbulent profiles obtained from numerical simulations. Our model allows to give very precise predictions for the turbulent heat flux and for the Nusselt number in the ultimate state regime of thermal convection.

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