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.
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)|
|Item Status:||Live Archive|
|Depositing User:||Dr Dmitry Strunin|
|Faculty / Department / School:||Historic - Faculty of Sciences - Department of Maths and Computing|
|Date Deposited:||21 Feb 2011 11:25|
|Last Modified:||03 Jul 2013 00:30|
|Uncontrolled Keywords:||turbulent channel flows; pollutants|
|Fields of Research (FOR2008):||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 (SEO2008):||E Expanding Knowledge > 97 Expanding Knowledge > 970105 Expanding Knowledge in the Environmental Sciences|
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