Some considerations about the symmetry and evolution of chaotic Rayleigh–Bénard convection: The flywheel mechanism and the “wind” of turbulence

Marcello Lappa

doi:10.1016/j.crme.2011.05.002

Some considerations about the symmetry and evolution of chaotic Rayleigh–Bénard convection: The flywheel mechanism and the “wind” of turbulence

Marcello Lappa ¹

¹ CTC, Via Salvator Rosa 53, 80046 San Giorgio a Cremano (Na), Italy

Comptes Rendus. Mécanique, Volume 339 (2011) no. 9, pp. 563-572.

Résumé

Rayleigh–Bénard convection in finite-size enclosures exhibits really intricate features when turbulent states are reached and thermal plumes play a crucial role in a number of them. This complex mechanism may be regarded as a “machine” containing many different working parts: boundary layers, mixing zones, jets, and a relatively free and isothermal central region. These parts are generally regarded as the constitutive “ingredients” whose interplay leads to the emergence of a macroscopic pattern with well-defined properties. Like the Lorenz model (but with the due differences) such a complex structure has a prevailing two-dimensional nature and can be oriented clockwise or anticlockwise (both configurations are equally likely to occur and the flow can exhibit occasional and irregular “reversals” from one to the other without a change in magnitude). It is usually referred to in the literature as “wind of turbulence” or “flywheel”. The present article provides insights into the possible origin of such dynamics and related patterning behavior (supported by “ad hoc” novel numerical simulations carried out for $\Pr = 15$ and $O (10^{3}) ⩽ Ra ⩽ O (10^{10})$ ) together with a short exposition of existing theories, also illustrating open points and future directions of research.

Reçu le : 2010-05-13
Accepté le : 2011-05-05
Publié le : 2011-05-20

DOI : 10.1016/j.crme.2011.05.002

Mots-clés : Computational fluid mechanics, Thermal convection, Transitions

Affiliations des auteurs :

Marcello Lappa ¹

¹ CTC, Via Salvator Rosa 53, 80046 San Giorgio a Cremano (Na), Italy

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Marcello Lappa. Some considerations about the symmetry and evolution of chaotic Rayleigh–Bénard convection: The flywheel mechanism and the “wind” of turbulence. Comptes Rendus. Mécanique, Volume 339 (2011) no. 9, pp. 563-572. doi : 10.1016/j.crme.2011.05.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.05.002/

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