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Energy Spectra in Rayleigh-Benard Convection

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 22 Dec 2011Publisher:IOP PublishingJournal:Journal of Physics: Conference Series, volume 318, page 82,014 (eissn: 1742-6596,

Authors: Mahendra K. Verma; Supriyo Paul; Mani Chandra; Pankaj Mishra;

doi: 10.1088/1742-6596/318/8/082014

Energy Spectra in Rayleigh-Benard Convection

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Abstract

We present a numerical study of the energy spectra and fluxes in the inertial range of turbulent Rayleigh-Benard convection for a wide range of Prandtl number. We consider both free-slip and no-slip conditions for our simulation. Our results support the Kolmogorov-Obukhov (KO) scaling for velocity field for zero-Prandtl number and low-Prandtl number (P 1) convection. For large Prandtl number (P > 1) convection, the Bolgiano-Obukhov scaling (BO) appears to agree with the numerical results better than the KO scaling. We provide phenomenological arguments for the zero-Prandtl and low-Prandtl number convection.

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