An averaged model of dispersion of pollutant in a channel: logarithmic flow

Paper

Strunin, Dmitry V.. 2010. "An averaged model of dispersion of pollutant in a channel: logarithmic flow." Hangos, K. (ed.) 29th IASTED International Conference on Modelling, Identification and Control (MIC 2010). Innsbruck, Austria 15 - 17 Feb 2010 Calgary, Canada.
Paper/Presentation Title

An averaged model of dispersion of pollutant in a channel: logarithmic flow

Presentation TypePaper
Authors
AuthorStrunin, Dmitry V.
EditorsHangos, K.
Journal or Proceedings TitleProceedings of the 29th IASTED International Conference on Modelling, Identification and Control (MIC 2010)
ERA Conference ID50772
Number of Pages5
Year2010
Place of PublicationCalgary, Canada
ISBN9780889868199
Web Address (URL) of Paperhttp://www.actapress.com/Content_Of_Proceeding.aspx?ProceedingID=616
Conference/Event29th IASTED International Conference on Modelling, Identification and Control (MIC 2010)
International Conference on Modelling, Identification and Control
Event Details
29th IASTED International Conference on Modelling, Identification and Control (MIC 2010)
Event Date
15 to end of 17 Feb 2010
Event Location
Innsbruck, Austria
Event Details
International Conference on Modelling, Identification and Control
ICMIC
Abstract

We construct a model of dispersion of pollutants in turbulent channel flows expressed in terms of depth-averaged
concentration. While there are different approaches to averaging, we use the most consistent approach based on centre manifolds. The method describes long-term asymptotics of the concentration as it becomes quickly spread across the entire depth by turbulence and is then weakly distorted by the velocity shear. For the velocity we adopt a classical logarithmic profile across the flow. A partial differential equation is derived describing evolution of the average concentration against time and downstream coordinate. The equation involves high-order spatial derivatives.

Keywordsturbulent channel flows; pollutants
ANZSRC Field of Research 2020460207. Modelling and simulation
490109. Theoretical and applied mechanics
490105. Dynamical systems in applications
Byline AffiliationsDepartment of Mathematics and Computing
Institution of OriginUniversity of Southern Queensland
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