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Heat transport in asymptotic limits of thermal convection

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TURW03 - Modelling and analysis of turbulent transport, mixing and scaling

Many predictions have been made about how heat transport in Rayleigh–Bénard convection and related convection models scales with the Rayleigh and Prandtl numbers. Only some of these predictions are mathematically precise statements about asymptotic scaling, and in most cases the correctness of each asymptotic prediction remains an open question. I will pose some questions and conjectures about asymptotic scaling, both for turbulent convection and other (possibly unstable) states. I will survey some mathematical bounds on scalings as well as experimental and computational evidence, and I will present recent computations of two types: turbulent DNS , and unstable steady states.

This talk is part of the Isaac Newton Institute Seminar Series series.

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