Fluxes and energy dissipation in thermal convection and shear flowsB. Eckhardt1, S. Grossmann1 and D. Lohse2
1 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
received 12 September 2006; accepted in final form 24 February 2007; published April 2007
published online 23 March 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.
47.55.pb - Thermal convection.
47.20.Qr - Centrifugal instabilities (e.g., Taylor-Couette flow).
47.27.nd - Channel flow.
© Europhysics Letters Association 2007