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Chaotic Flows pp 219–230Cite as

Turbulence and Scalar

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 10))

Abstract

Velocity field generates fluctuations of various scalar quantities \( \theta \) in the turbulent flow: temperature, pressure, humidity, and so on (see Fig. 13.1.1). Soon after Kolmogorov’s first seminal papers on energy spectrum of turbulence, cascade ideas were applied to passive scalars advected by turbulence [241, 242]. This is the problem of determining the statistical properties of the distribution of a scalar field that is convected and diffused within a field of turbulence of known statistical properties.

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Author information

Authors and Affiliations

  1. Plasma Physics Department, “Kurchatov Institute”, Kurchatova Square 1, 123182, Moscow, Russia

    Oleg G. Bakunin

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  1. Oleg G. Bakunin
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Correspondence to Oleg G. Bakunin .

Further Reading

Further Reading

1.1 Scalar and Cascade

  • T. Cebeci, Analysis of Turbulent Flows (Elsevier, Amsterdam, 2004)

  • K.R. Sreenivasan, Annu. Rev. Fluid Mech. 29, 435 (1997)

  • K.R. Sreenivasan, Rev. Mod. Phys. 71, S 383 (1999)

  • H. Tennekes, J.L. Lumley, A First Course in Turbulence (MIT, New York, 1970)

  • A. Tsinober, An Informal Introduction to Turbulence (Kluwer, Amsterdam, 2004)

  • J.C. Vassilicos (ed.), Intermittency in Turbulent Flows (Cambridge University Press, Cambridge, 2001)

  • Z. Warhaft, Annu. Rev. Fluid Mech. 32, 203–240 (2000)

1.2 Scalar and Turbulent Transport

  • L. Biferale, I. Procaccia, Phys. Rep. 254, 365 (2005)

  • J. Cardy et al., Non-Equilibrium Mechanics and Turbulence (Cambridge University Press, Cambridge, 2008)

  • A. Crisanti, M. Falcioni, A. Vulpiani, Rivista Del Nuovo Cimento 14, 1–80 (1991)

  • G. Falkovich, K. Gawedzki, M. Vergassola, Rev. Mod. Phys. 73, 913 (2001)

  • J.C.R. Hunt, Annu. Rev. Fluid Mech. 17, 447 (1985)

  • H.K. Moffatt, J. Fluid Mech. 106, 27 (1981)

  • H.K. Moffatt, Rep. Prog. Phys. 621, 3 (1983)

  • F.T.M. Nieuwstadt, H. Van Dop (eds.), Atmospheric Turbulence and Air Pollution Modeling (D. Reidel, Dordrecht, 1981)

  • E.D. Siggia, Annu. Rev. Fluid Mech. 26, 137 (1994)

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Bakunin, O.G. (2011). Turbulence and Scalar. In: Chaotic Flows. Springer Series in Synergetics, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20350-3_13

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  • DOI: https://doi.org/10.1007/978-3-642-20350-3_13

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