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TMF, 2010, Volume 163, Number 2, Pages 328–352 (Mi tmf6503)  

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

Langevin equation of a fluid particle in wall-induced turbulence

J. J. Brouwers

Eindhoven University of Technology, Eindhoven, Netherlands

Abstract: We derive the Langevin equation describing the stochastic process of fluid particle motion in wall-induced turbulence (turbulent flow in pipes, channels, and boundary layers including the atmospheric surface layer). The analysis is based on the asymptotic behavior at a large Reynolds number. We use the Lagrangian Kolmogorov theory, recently derived asymptotic expressions for the spatial distribution of turbulent energy dissipation, and also newly derived reciprocity relations analogous to the Onsager relations supplemented with recent measurement results. The long-time limit of the derived Langevin equation yields the diffusion equation for admixture dispersion in wall-induced turbulence.

Keywords: turbulence, dispersion, Langevin equation, Onsager reciprocity

DOI: https://doi.org/10.4213/tmf6503

Full text: PDF file (646 kB)
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English version:
Theoretical and Mathematical Physics, 2010, 163:2, 677–695

Bibliographic databases:

Received: 08.12.2009

Citation: J. J. Brouwers, “Langevin equation of a fluid particle in wall-induced turbulence”, TMF, 163:2 (2010), 328–352; Theoret. and Math. Phys., 163:2 (2010), 677–695

Citation in format AMSBIB
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\paper Langevin equation of a~fluid particle in wall-induced turbulence
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\vol 163
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\pages 328--352
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\transl
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\yr 2010
\vol 163
\issue 2
\pages 677--695
\crossref{https://doi.org/10.1007/s11232-010-0050-2}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953486358}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Brouwers J.J.H., “Langevin and diffusion equation of turbulent fluid flow”, Phys. Fluids, 22:8 (2010), 085102, 16 pp.  crossref  adsnasa  isi  elib  scopus
    2. Brouwers J.J.H., “Statistical description of turbulent dispersion”, Phys. Rev. E, 86:6 (2012), 066309, 14 pp.  crossref  adsnasa  isi  scopus
    3. Kuerten J.G.M., Brouwers J.J.H., “Lagrangian Statistics of Turbulent Channel Flow at Re-Tau=950 Calculated with Direct Numerical Simulation and Langevin Models”, Phys. Fluids, 25:10 (2013), 105108  crossref  adsnasa  isi  scopus
    4. Brouwers J.J.H., “Statistical Models of Large Scale Turbulent Flow”, Flow Turbul. Combust., 97:2 (2016), 369–399  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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