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Kolmogorov and Bolgiano scaling in thermal convection: the case of Rayleigh-Taylor turbulence

2011/01/31 by G. Boffetta, F. De Lillo, Boffetta, G. +6
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Stochastic processes and financial applications #nlin.CD #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1101.5917

4 pages, 5 figures

arxiv created 2011/01/31 · openalex publication_date 2011/01/31 · arxiv updated 2011/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the statistical properties of Rayleigh-Taylor turbulence in a convective cell of high aspect ratio, in which one transverse side is much smaller that the others. We show that the scale of confinement determines the Bolgiano scale of the system, which in the late stage of the evolution is characterized by the Kolmogorov-Obukhov and the Bolgiano-Obukhov phenomenology at small and large scales, respectively. The coexistence of these regimes is associated to a three to two-dimensional transition of the system which occurs when the width of the turbulent mixing layer becomes larger that the scale of confinement.

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