Abstract
A simple analytical model is developed for the meanupcrossing rate of plume concentration fluctuations assuming that thisprocess can be well approximated by a lognormal process. The resultingexpression requires only the specification of the in-plume fluctuationintensity and in-plume Taylor micro-time scale and, hence, does notexplicitly involve the joint probability density function of theconcentration and its derivative. The analytical model provides agood fit to some field measurements of the mean upcrossing rate ina dispersing plume.
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Du, S.,Wilson, D. J., andYee, E.: 1999, 'A Stochastic Time Series Model for Threshold Crossing Statistics of Concentration Fluctuations in Non-Intermittent Plumes', Boundary-Layer Meteorol. 92, 229-241.
Kristensen, L.,Weil, J. C., andWyngaard, J. C.: 1989, 'Recurrence of High Concentration Values in a Diffusing, Fluctuating Scalar Field', Boundary-Layer Meteorol. 47, 263-276.
Parzen, E.: 1962, Stochastic Processes, Holden-Day Inc., San Francisco, CA, 324 pp.
Rice, S. O.: 1945, 'Mathematical Analysis of Random Noise', Bell System Tech. J. 24, 46-156.
Yee, E.,Kosteniuk, P. R.,Chandler, G. M.,Biltoft, C. A., andBowers, J. F.: 1993, 'Recurrence Statistics of Concentration Fluctuations in Plumes within a Near-Neutral Atmospheric Surface Layer', Boundary-Layer Meteorol. 66, 127-153.
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Yee, E. An Analytical Model For Threshold Crossing Rates Of Concentration Fluctuations In Dispersing Plumes. Boundary-Layer Meteorology 98, 517–527 (2001). https://doi.org/10.1023/A:1018751125337
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DOI: https://doi.org/10.1023/A:1018751125337