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Turbulent superstructures in Rayleigh‐Bénard convection for varying Prandtl numbers
Author(s) -
Pandey Ambrish,
Schumacher Jörg
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710005
Subject(s) - prandtl number , turbulence , turbulent prandtl number , convection , physics , aspect ratio (aeronautics) , rayleigh number , momentum (technical analysis) , rayleigh–bénard convection , mechanics , rayleigh scattering , scale (ratio) , kolmogorov microscales , reynolds number , natural convection , nusselt number , optics , k epsilon turbulence model , k omega turbulence model , optoelectronics , finance , economics , quantum mechanics
Using direct numerical simulations, we study the properties of turbulent superstructures in thermal convection in a large aspect ratio square cell. We estimate the characteristic length scale of superstructures using spatial auto‐correlation functions and two‐dimensional power spectra, and observe that the typical length scale increases weakly with increasing Prandtl number. We also find that the Prandtl number dependence of heat and momentum transport are similar to those observed in small aspect ratio systems. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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