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

Strunin, Dmitry V. (2010) An averaged model of dispersion of pollutant in a channel: logarithmic flow. In: 29th IASTED International Conference on Modelling, Identification and Control (MIC 2010), 15-17 Feb 2010, Innsbruck, Austria.

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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.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Faculty/School / Institute/Centre: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 21 Feb 2011 11:25
Last Modified: 28 Aug 2014 03:35
Uncontrolled Keywords: turbulent channel flows; pollutants
Fields of Research : 08 Information and Computing Sciences > 0801 Artificial Intelligence and Image Processing > 080110 Simulation and Modelling
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970105 Expanding Knowledge in the Environmental Sciences

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