Universality of turbulent dispersion in a steady flow in an open channel

Article

Strunin, D. V.. 2011. "Universality of turbulent dispersion in a steady flow in an open channel." The Quarterly Journal of Mechanics and Applied Mathematics. 64 (2), pp. 197-214. https://doi.org/10.1093/qjmam/hbr002
Article Title

Universality of turbulent dispersion in a steady flow in an open channel

ERA Journal ID368
Article CategoryArticle
Authors
AuthorStrunin, D. V.
Journal TitleThe Quarterly Journal of Mechanics and Applied Mathematics
Quarterly Journal of Mechanics and Applied Mathematics
Journal Citation64 (2), pp. 197-214
Number of Pages18
Year2011
Place of PublicationOxford, England
ISSN0033-5614
1464-3855
Digital Object Identifier (DOI)https://doi.org/10.1093/qjmam/hbr002
Abstract

We construct a low-dimensional depth-averaged model of turbulent dispersion of tracers in an open channel flow. Two types of the average velocity profile are considered. One is the classical logarithmic profile, and the other is the power profile according to a different similarity hypothesis of the flow with respect to the non-dimensional distance from the wall. Our approach (a) combines the firm justification of the depth-averaging procedure by centre manifold theory and (b) embraces the essential connection between the velocity shear and turbulent diffusion. We deduce an advection–diffusion–dispersion equation for the depth-average concentration for each velocity profile. The equation represents a leading approximation of the transport equation for the tracer and is extendable to include higher-order spatial derivatives. The results for the two profiles are compared in the limit of very large Reynolds numbers.

Keywordsturbulent dispersion; open channel flow; average velocity; classical logarithmic; depth-averaged models; depth-averaging; manifold theory; open channels; power profile; spatial derivatives; transport equation; turbulent diffusion; turbulent dispersion; velocity profiles; velocity shear
ANZSRC Field of Research 2020401213. Turbulent flows
490105. Dynamical systems in applications
490109. Theoretical and applied mechanics
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Byline AffiliationsDepartment of Mathematics and Computing
Institution of OriginUniversity of Southern Queensland
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