Low-dimensional boundary-layer model of turbulent dispersion in a channel

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Date

2009

Authors

Strunin, D.
Roberts, A.

Editors

Ao, S.I.
Gelman, L.
Hukins, D.W.L.
Hunter, A.
Korsunsky, A.M.

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Conference paper

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World Congress on Engineering: WCE 2009 : Vol II, 2009, pp.1-5

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D.V. Struin, A. J. Roberts

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World Congress on Engineering (2009 : London, UK)

Abstract

We analyse dispersion of contaminants in turbulent boundary layer using centre manifold technique. The method describes long-term asymp- totics of the contaminant concentration as it becomes spread across the entire layer and is weakly distorted by the velocity shear. The dispersion is investigated in two cases: (a) logarithmic and (b) power veloc- ity profile across the layer according to a traditional and a more recent theory respectively. We deduce an advection-diffusion equation for the depth-average concentration in each case. The equation represents a leading approximation of the dynamics and can be ex- tended to include higher-order derivatives for better precision.

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© Copyright International Association of Engineers. Provided through DOAJ whose site and its metadata are licensed under CC BY-SA

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