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Nelin. Dinam., 2008, Volume 4, Number 2, Pages 145–156 (Mi nd228)  

This article is cited in 4 scientific papers (total in 4 papers)

Numerical investigation of Rayleigh–Benard turbulent convection spectrums

I. B. Palymskiy

Modern University for Humanities, Novosibirsk Branch

Abstract: Two- and three-dimensional turbulent convectional flows of viscous incompressible fluid in a horizontal layer are studied numerically. The layer is heated from below and its boundaries are assumed to be free of shear stresses. For temperature pulsations the Kolmogorov spectrums $k^{-5/3}$ and $k^{-2.4}$ are found. In the two-dimensional case the Obukhov–Bolgiano spectrum $k^{-11/5}$ and the spectrum $k^{-5}$ for the velocity pulsation are obtained. The spectrum $k^{-5}$ was predicted theoretically for large-Prandtl-number liquids. The results presented in the paper are in good agreement with experimental data and organically extend the numerical results obtained by other researches.

Keywords: simulation, hydrodynamics, convection, heat transfer, spectrum.

Full text: PDF file (183 kB)
UDC: 532.517.4:536.25
MSC: 76F35, 76F65, 76M20, 76M22
Received: 07.04.2008

Citation: I. B. Palymskiy, “Numerical investigation of Rayleigh–Benard turbulent convection spectrums”, Nelin. Dinam., 4:2 (2008), 145–156

Citation in format AMSBIB
\Bibitem{Pal08}
\by I.~B.~Palymskiy
\paper Numerical investigation of Rayleigh--Benard turbulent convection spectrums
\jour Nelin. Dinam.
\yr 2008
\vol 4
\issue 2
\pages 145--156
\mathnet{http://mi.mathnet.ru/nd228}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. B. Palymskii, “O chislennom modelirovanii trekhmernoi konvektsii”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2009, no. 4, 118–132  mathnet
    2. I. B. Palymskii, “Chislennoe issledovanie spektrov trekhmernoi turbulentnoi konvektsii”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 10:1 (2010), 62–71  mathnet  crossref
    3. I. B. Palymskii, “Chislennyi metod rascheta trekhmernoi konvektsii”, Sib. zhurn. industr. matem., 13:1 (2010), 95–108  mathnet  mathscinet
    4. I. B. Palymskiy, “On simulation of complex regimes of the Rayleigh–Benard convection”, Num. Anal. Appl., 4:2 (2011), 145–166  mathnet  crossref
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