Graduate Seminar Analysis
Tuesday, June 14, 2016, 10:45am
Bounds on turbulent convection
Camilla Nobili, University of Basel
Abstract: We present some recent results regarding the Rayleigh-Bénard convection. In a first part we deal with the infinite Prandtl number limit of the Boussinesq equations and we introduce the temperature background field method in order to find upper bounds on the average upward heat transport. Inspired by the seminal result of Doering, Otto and Westdickenberg (née Reznikoff) in 2007 we characterized all admissible background profiles and we show that the upper bound of Otto and Seis 2013 is optimal within this method. In the second part we consider fluids with finite Prandtl number and we present a new upper bound on the Nusselt number which catches a transition in the phase space (Pr, Ra).
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Ort: Seminarraum 001, Erdgeschoss, Pontdriesch 14-16 , 52062 Aachen