Modelling dispersion in turbulent boundary layers using centre manifold technique
PhD Thesis
Title | Modelling dispersion in turbulent boundary layers |
---|---|
Type | PhD Thesis |
Authors | |
Author | Mohammed, Fadhel Jasim |
Supervisor | Strunin, Dmitry |
Tran-Cong, Thanh | |
Institution of Origin | University of Southern Queensland |
Qualification Name | Doctor of Philosophy |
Number of Pages | 165 |
Year | 2014 |
Abstract | The present research is concerned with modelling dispersion of contaminants and substances in turbulent boundary layers based on centre manifold approach. The results of this dissertation are as follows. (i) We derived accurate transport equations involving high-order spatial derivatives to describe the averaged turbulent transport of tracers and contaminants along turbulent channel flows. The In the 1D-IRBFN method a Cartesian grid is used to discretise the spatial domain. The method uses the integration instead of conventional differentiation, We also compared the 1D-IRBFN solutions for the 1-D model with the solutions of the original 2-D model by successively adding higher-order derivatives into In our analysis we considered two types of the velocity profile across the channel: the classical logarithmic profile and, according to an alternative and more recent Further, we derived even higher-order partial differential equations governing the longitudinal dispersion. From numerical viewpoint, including higher-order spatial We also constructed an averaged model of shear dispersion in the turbulent flow above a canopy. The model contains as independent parameters the friction velocity, total thickness of the flow, height of the canopy and frontal area density of the canopy. The model is reduced by the centre manifold procedure to a universal one-dimensional model written in terms of the depth-average concentration of However, we emphasize the following important aspect of all the derived one-dimensional centre manifold models: they reveal a hidden property of the transport process, namely the asymptotic one-dimensional law for the averaged con- |
Keywords | modelling dispersion; turbulent boundary layers; centre manifold technique |
ANZSRC Field of Research 2020 | 401213. Turbulent flows |
490105. Dynamical systems in applications | |
490109. Theoretical and applied mechanics | |
Byline Affiliations | Computational Engineering and Science Research Centre |
https://research.usq.edu.au/item/q2960/modelling-dispersion-in-turbulent-boundary-layers-using-centre-manifold-technique
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