Fluxes and energy dissipation in thermal convection and shear flows

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-Co...

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Bibliographic Details
Published in:Europhysics letters 2007-04, Vol.78 (2), p.24001
Main Authors: Eckhardt, B, Grossmann, S, Lohse, D
Format: Article
Language:English
Subjects:
47.20.Qr
47.27.nd
47.55.pb
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Summary: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/78/24001