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.
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
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
Corrsin S (1963) Estimates of the relations between Eulerian and Lagrangian scales in large Reynolds number turbulence. J Atmos Sci 20:115–119
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
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
Efthimiou GC, Bartzis JG (2011) Atmospheric dispersion and individual exposure of hazardous materials. J Hazard Mater 188(1–3):375–383
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
Kikumoto H (2020) Turbulent diffusivity limiter with travel time for CFD-Eulerian analysis of point-source pollutant dispersion. Wind Eng Res 26:148–156
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
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
Monin AS, Yaglom AM (1971) Statistical fluid mechanics, vol 1. MIT Press
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
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
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
Stocchino A, Besio G, Angiolani S, Brocchini M (2011) Lagrangian mixing in straight compound channels. J Fluid Mech 675:168–198
Thomson DJ (1987) Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J Fluid Mech 180:529–556
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10546-022-00717-6