On the Heat Transfer in Rayleigh–Bénard Systems |
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Authors: | R. Benzi F. Toschi R. Tripiccione |
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Affiliation: | 1. Dipartimento di Fisica, Università di Tor Vergata, I-00133, Rome, Italy 2. Istituto Nazionale di Fisica della Materia, unità di Tor Vergata, Rome, Italy 3. Dipartimento di Fisica, Università di Pisa, I-56126, Pisa, Italy 4. Istituto Nazionale di Fisica Nucleare, sezione di Pisa, Pisa, Italy
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Abstract: | In this paper we discuss some theoretical aspects concerning the scaling laws of the Nusselt number versus the Rayleigh number in a Rayleigh–Bénard cell. We present a new set of numerical simulations and compare our findings against the predictions of existing models. We then propose a new theory which relies on the hypothesis of Bolgiano scaling. Our approach generalizes the one proposed by Kadanoff, Libchaber, and coworkers and solves some of the inconsistencies raised in the recent literature. |
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