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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 92, Number 2, Pages 293–311 (Mi tmf1504)  

This article is cited in 10 scientific papers (total in 10 papers)

Turbulence as a nonequilibrium phase transition

D. N. Zubarev, V. G. Morozov, O. V. Troshkin

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: The transition from laminar to turbulent flow is studied on the basis of an exact equation for the averaged velocity and an approximate nonlinear equation for the Reynolds stress $\tau$. The stationary state can be determined from the condition of minimum of a functional that is analogous to the Landau functional in the theory of phase transitions. The Reynolds stress plays the role of a parameter. It is shown that a nontrivial solution for $\tau$ corresponding to a steady turbulent regime exists only for Reynolds numbers $R$ that exceed a certain critical value $R_\mathrm{cr}$. The results of a numerical calculation of the profile of the averaged velocity, the friction coefficient, and the Reynolds stress in a wide range of values of $R$ agree well with experimental data for channel flow.
Received: 12.05.1992
English version:
Theoretical and Mathematical Physics, 1992, Volume 92, Issue 2, Pages 896–908
DOI: https://doi.org/10.1007/BF01015556
Bibliographic databases:
Language: Russian
Citation: D. N. Zubarev, V. G. Morozov, O. V. Troshkin, “Turbulence as a nonequilibrium phase transition”, TMF, 92:2 (1992), 293–311; Theoret. and Math. Phys., 92:2 (1992), 896–908
Citation in format AMSBIB
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\by D.~N.~Zubarev, V.~G.~Morozov, O.~V.~Troshkin
\paper Turbulence as a~nonequilibrium phase transition
\jour TMF
\yr 1992
\vol 92
\issue 2
\pages 293--311
\mathnet{http://mi.mathnet.ru/tmf1504}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1226016}
\zmath{https://zbmath.org/?q=an:0786.76042}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 92
\issue 2
\pages 896--908
\crossref{https://doi.org/10.1007/BF01015556}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992LB54300008}
Linking options:
  • https://www.mathnet.ru/eng/tmf1504
  • https://www.mathnet.ru/eng/tmf/v92/i2/p293
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:715
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    References:79
    First page:1
     
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