Volume 78, Number 2, April 2007
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||23 March 2007|
Fluxes and energy dissipation in thermal convection and shear flows
Fachbereich Physik, Philipps-Universität Marburg - D-35032 Marburg, Germany
2 Department of Applied Physics, J. M. Burgers Center, and Impact-Institute, University of Twente, 7500 AE Enschede, The Netherlands
Accepted: 24 February 2007
We expose analogies between turbulence in a fluid heated from below (Rayleigh-Bénard (RB) flow) and shear flows: The unifying theory for RB flow (see Grossmann S. and Lohse D., J. Fluid Mech., 407 (2000) 27 and subsequent refinements) can be extended to the flow between rotating cylinders (Taylor-Couette flow) and pipe (Poiseuille) flow. We identify “wind” dissipation rates and momentum fluxes that are analogous to the dissipation rate and heat flux in RB flow. The proposed unifying description for the three cases is consistent with the experimental data.
PACS: 47.55.pb – Thermal convection / 47.20.Qr – Centrifugal instabilities (e.g., Taylor-Couette flow) / 47.27.nd – Channel flow
© Europhysics Letters Association, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.