The concentration of a passive scalar dispersed in a turbulent flow exhibits a complex stochastic dynamics. In this paper, we present a minimalist stochastic model that resembles the concentration statistics of a passive scalar emitted from a localized source in a neutral boundary layer. The model provides closed forms for the crossing rates and times — the mean frequency of exceeding a certain concentration level and the mean time above it. Three concentration statistics are needed as model inputs: the mean, the standard deviation, and the integral scale. By giving analytical relationships also for these statistics, we provide a completely closed methodology that may serve as a rapid and practical tool to estimate the dynamics of a pollutant dispersed in the atmosphere. Results are validated against wind-tunnel measurements.
Level-crossing statistics of a passive scalar dispersed in a neutral boundary layer / Bertagni, Matteo B.; Marro, Massimo; Salizzoni, Pietro; CAMPOREALE, CARLO VINCENZO. - In: ATMOSPHERIC ENVIRONMENT. - ISSN 1352-2310. - 230(2020).
Titolo: | Level-crossing statistics of a passive scalar dispersed in a neutral boundary layer |
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Data di pubblicazione: | 2020 |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.atmosenv.2020.117518 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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Bertagni et al 2020 Atm Env.pdf | Articolo Principale | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia |
Level-crossingBertagni-manuscript.pdf | 2. Post-print / Author's Accepted Manuscript | ![]() | Embargo: 18/04/2022 Richiedi una copia |
http://hdl.handle.net/11583/2813672