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Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 16: Focus: Fundamental aspects of turbulent convection

DY 16.12: Talk

Tuesday, March 21, 2017, 13:00–13:15, ZEU 118

Heat and momentum transport scalings in horizontal convection — •Olga Shishkina1, Siegfried Grossmann2, and Detlef Lohse31Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany — 2Fachbereich Physik der Philipps-Universität, Marburg, Germany, — 3Department of Science and Technology, Mesa+ Institute, and J. M. Burgers Centre for Fluid Dynamics, University of Twente, Enschede, Netherlands

In horizontal convection heat exchange takes place exclusively through a single (bottom) horizontal surface of a fluid layer. For this type of convective flow configuration in Shishkina, Grossmann and Lohse, Geophys. Res. Lett. 43 (2016) a theoretical model for the heat and momentum transport scaling with the Rayleigh number (Ra) has been suggested, which is an extension of the Grossmann and Lohse theory (2000) to the case of horizontal convection. The model suggests various different scaling regimes, including in particular the Rossby scaling (with the scaling exponent 1/5 in the Nusselt number versus Rayleigh number scaling) and the ultimate scaling (with the scaling exponent 1/3). In the present talk we discuss the Prandtl-number (Pr) dependences of the Nusselt and of the Reynolds numbers for all derived scaling regimes in horizontal convection and also the locations in the Pr-Ra plane of the (smooth) transitions between different scaling regimes.

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