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Ultimate state of two-dimensional Rayleigh-Bnard convection

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Determining the transport properties of high Rayleigh number convection turbulent convection remains a grand challenge for experiment, simulation, theory, and analysis. In this talk, after a brief review of the theory and applications of Rayleigh-Bnard convection we describe recent results for mathematically rigorous upper limits on the vertical heat transport in two dimensional Rayleigh-Bnard convection between stress-free isothermal boundaries derived from the Boussinesq approximation of the Navier-Stokes equations. These bounds challenge some popular theoretical arguments regarding the nature of the asymptotic high Rayleigh number ultimate regime of turbulent convection. This is joint work with Jared Whitehead.

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

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