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Ultimate state of two-dimensional Rayleigh-Bénard convection

Date: 
Monday 23rd July 2012 - 11:00 to 11:40
Venue: 
INI Seminar Room 1
Session Chair: 
Yoshi Kimura
Abstract: 
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-Bénard convection we describe recent results for mathematically rigorous upper limits on the vertical heat transport in two dimensional Rayleigh-Bénard 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.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons