Dissipation Layers in Rayleigh-Bénard Convection: A Unifying View

K. Petschel, S. Stellmach, M. Wilczek, J. Lülff, and U. Hansen
Phys. Rev. Lett. 110, 114502 – Published 13 March 2013

Abstract

Boundary layers play an important role in controlling convective heat transfer. Their nature varies considerably between different application areas characterized by different boundary conditions, which hampers a uniform treatment. Here, we argue that, independent of boundary conditions, systematic dissipation measurements in Rayleigh-Bénard convection capture the relevant near-wall structures. By means of direct numerical simulations with varying Prandtl numbers, we demonstrate that such dissipation layers share central characteristics with classical boundary layers, but, in contrast to the latter, can be extended naturally to arbitrary boundary conditions. We validate our approach by explaining differences in scaling behavior observed for no-slip and stress-free boundaries, thus paving the way to an extension of scaling theories developed for laboratory convection to a broad class of natural systems.

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  • Received 20 December 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.114502

© 2013 American Physical Society

Authors & Affiliations

K. Petschel1,†, S. Stellmach1, M. Wilczek2,*, J. Lülff2, and U. Hansen1

  • 1Institut für Geophysik, Westfälische Wilhelms-Universität Münster, D-48149 Münster, Germany
  • 2Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, D-48149 Münster, Germany

  • *Present address: Department of Mechanical Engineering, The Johns Hopkins University, Baltimore MD 21218, USA.
  • klaus.petschel@uni-muenster.de

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Vol. 110, Iss. 11 — 15 March 2013

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