Mohammed, F. J. and Strunin, D. V. and Ngo-Cong, D. and Tran-Cong, T. (2015) Asymptotics of averaged turbulent transfer in canopy flows. Journal of Engineering Mathematics, 91 (1). pp. 81-104. ISSN 0022-0833
Abstract
We formulate and analyse a long-time asymptotic model of dispersion in turbulent canopy flows, of an urban or industrial nature. The model is formulated in terms of the concentration averaged across the flow, for example over river depth. The general approach that laid a firm foundation for the averaging procedure was proposed by Roberts and co-authors in the late 1980s. We derive an evolution partial differential equation for the averaged concentration, involving first, second and higher derivatives with respect to spatial coordinates. The coefficients of the equation are derived and analysed against the parameters characterising the turbulent flow. In particular, we show that, in the limit of large flow depths, the values of the coefficients coincide with those obtained earlier for the flow over a smooth bottom.
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| Item Type: | Article (Commonwealth Reporting Category C) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Additional Information: | Permanent restricted access to published version due to publisher copyright policy. |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences (1 Jul 2013 - 5 Sep 2019) |
| Date Deposited: | 11 Feb 2015 01:24 |
| Last Modified: | 15 Sep 2016 06:16 |
| Uncontrolled Keywords: | canopy; dispersion; roughness; turbulent flow |
| Fields of Research (2008): | 09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows 01 Mathematical Sciences > 0101 Pure Mathematics > 010110 Partial Differential Equations 01 Mathematical Sciences > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods |
| Fields of Research (2020): | 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401213 Turbulent flows 49 MATHEMATICAL SCIENCES > 4904 Pure mathematics > 490410 Partial differential equations 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490101 Approximation theory and asymptotic methods |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| Identification Number or DOI: | https://doi.org/10.1007/s10665-014-9737-y |
| URI: | http://eprints.usq.edu.au/id/eprint/26730 |
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