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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • 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

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 110, Iss. 11 — 15 March 2013

Reuse & Permissions

1923: Compton shows light’s particle nature
View timeline|#PhysRev125
Access Options
Announcement
Information on SCOAP3 and Physical Review journals
January 3, 2018

High Energy Physics (HEP) papers published after January 1, 2018 in Physical Review Letters, Physical Review C, and Physical Review D are published open access, paid for centrally by SCOAP3. Library subscriptions will be modified accordingly. This arrangement will initially last for two years, up to the end of 2019.

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×