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This article is cited in 7 scientific papers (total in 7 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.
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
Linking options:
https://www.mathnet.ru/eng/tmf6503https://doi.org/10.4213/tmf6503 https://www.mathnet.ru/eng/tmf/v163/i2/p328
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