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On the Lagrangian and Eulerian Time Scales of Turbulence Within a Two-Dimensional Array of Obstacles

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Abstract

Fields of Lagrangian (\(T^{L}\)) and Eulerian (\(T^{E}\)) time scales of the turbulence within a regular array of two-dimensional obstacles of unit aspect ratio have been determined by means of a water-channel experiment reproducing the atmospheric boundary layer in neutral conditions. It has been found that there is a strong spatial inhomogeneity both of the scales and of their ratio, \(\beta = T^{L} /T^{E}\). The results can provide useful information on numerical modelling of tracer dispersion in urban areas.

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References

  • Anfossi D, Rizza U, Mangia C, Degrazia GA, Pereira Marques Filho E (2006) Estimation of the ratio between the Lagrangian and Eulerian time scales in an atmospheric boundary layer generated by large eddy simulation. Atmos Environ 40:326–337

    Article  Google Scholar 

  • Cenedese A, Del Prete Z, Miozzi M, Querzoli G (2005) A laboratory investigation of the flow in the left ventricle of a human heart with prosthetic, tilting-disk valves. Exp Fluids 39:322–335

    Article  Google Scholar 

  • Corrsin S (1963) Estimates of the relations between Eulerian and Lagrangian scales in large Reynolds number turbulence. J Atmos Sci 20:115–119

    Article  Google Scholar 

  • Di Bernardino A, Monti P, Leuzzi G, Querzoli G (2015) Water-channel study of flow and turbulence past a two-dimensional array of obstacles. Boundary-Layer Meteorol 155:73–85

    Article  Google Scholar 

  • Di Bernardino A, Monti P, Leuzzi G, Querzoli G (2017) Water-channel estimation of Eulerian and Lagrangian time scales of the turbulence in idealized two-dimensional urban canopies. Boundary-Layer Meteorol 165:251–276

    Article  Google Scholar 

  • Efthimiou GC, Bartzis JG (2011) Atmospheric dispersion and individual exposure of hazardous materials. J Hazard Mater 188(1–3):375–383

    Article  Google Scholar 

  • Fattal E, David-Saroussi H, Klausner Z, Buchman O (2021) An urban Lagrangian stochastic dispersion model for simulating traffic particulate-matter concentration fields. Atmosphere 12:580

    Article  Google Scholar 

  • Kikumoto H (2020) Turbulent diffusivity limiter with travel time for CFD-Eulerian analysis of point-source pollutant dispersion. Wind Eng Res 26:148–156

    Google Scholar 

  • Lin C, Ooka R, Kikumoto H, Jia H (2021) Eulerian RANS simulations of near-field pollutant dispersion around buildings using concentration diffusivity limiter with travel time. Build Environ 202:108047

    Article  Google Scholar 

  • Longo R, Bellemans A, Derudi M, Parente A (2020) A multi-fidelity framework for the estimation of the turbulent Schmidt number in the simulation of atmospheric dispersion. Build Environ 185:107066

    Article  Google Scholar 

  • Monin AS, Yaglom AM (1971) Statistical fluid mechanics, vol 1. MIT Press

    Google Scholar 

  • Louka P, Belcher SE, Harrison RG (2000) Coupling between air flow in streets and the well-developed boundary layer aloft. Atmos Environ 34:2613–2621

    Article  Google Scholar 

  • Nironi C et al (2015) Dispersion of a passive scalar fluctuating plume in a turbulent boundary layer. Part I: velocity and concentration measurements. Boundary-Layer Meteorol 156:415–446

    Article  Google Scholar 

  • Shnapp R, Bohbot-Raviv Y, Liberzon A, Fattal E (2020) Turbulence-obstacle interactions in the Lagrangian framework: applications for stochastic modeling in canopy flows. Phys Rev Fluids 5:094601

    Article  Google Scholar 

  • Stocchino A, Besio G, Angiolani S, Brocchini M (2011) Lagrangian mixing in straight compound channels. J Fluid Mech 675:168–198

    Article  Google Scholar 

  • Thomson DJ (1987) Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J Fluid Mech 180:529–556

    Article  Google Scholar 

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Correspondence to Paolo Monti.

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Di Bernardino, A., Monti, P., Leuzzi, G. et al. On the Lagrangian and Eulerian Time Scales of Turbulence Within a Two-Dimensional Array of Obstacles. Boundary-Layer Meteorol 184, 375–379 (2022). https://doi.org/10.1007/s10546-022-00717-6

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  • DOI: https://doi.org/10.1007/s10546-022-00717-6

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