Extension of a fluctuating plume model of tracer dispersion to a sheared boundary layer and to a large array of obstacles |
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| Authors: | Ralph M Gailis Alexander Hill Eugene Yee Trevor Hilderman |
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| Institution: | (1) Defence Science and Technology Organisation, Platform Sciences Laboratory, 506 Lorimer St, Fishermans Bend, VIC, 3207, Australia;(2) Defence R&D Canada – Suffield, P.O. Box 4000, Medicine Hat, Alberta, Canada, T1A 8K6;(3) Coanda Research & Development Corporation, 110A-3430 Brighton Ave., Burnaby, British Columbia, Canada, V5A 3H4 |
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| Abstract: | Fluctuating plume models provide a useful conceptual paradigm in the understanding of plume dispersion in a turbulent flow.
In particular, these models have enabled analytical predictions of higher-order concentration moments, and the form of the
one-point concentration probability density function (PDF). In this paper, we extend the traditional formalism of these models,
grounded in the theory of homogeneous and isotropic turbulent flow, to two cases: namely, a simple sheared boundary layer
and a large array of regular obstacles. Some very high-resolution measurements of plume dispersion in a water channel, obtained
using laser-induced fluorescence (LIF) line-scan techniques are utilised. These data enable us to extract time series of plume
centroid position (plume meander) and dispersion in the relative frame of reference in unprecedented detail. Consequently,
experimentally extracted PDFs are able to be directly compared with various theoretical forms proposed in the literature.
This includes the PDF of plume centroid motion, the PDF of concentration in the relative frame, and a variety of concentration
moments in the absolute and relative frames of reference. The analysis confirms the accuracy of some previously proposed functional
forms of model components used in fluctuating plume models, as well as suggesting some new forms necessary to deal with the
complex boundary conditions in the spatial domain. |
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| Keywords: | Concentration statistics Meandering Obstacle array Plume dispersion Water channel |
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