Two-zone model of shear dispersion in a channel using centre manifolds

Roberts, A. J. and Strunin, Dmitry V. (2004) Two-zone model of shear dispersion in a channel using centre manifolds. Quarterly Journal of Mechanics and Applied Mathematics, 57 (3). pp. 363-378. ISSN 0033-5614

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Abstract

[Summary]: To achieve better precision in describing contaminant dispersion in channels some authors resort to dividing a channel into two zones, fast and slow, leading to a pair of coupled evolution equations for cross-sectionally-averaged concentrations in the zones. We construct a two-zone model whose accuracy is guaranteed by centre manifold theory. The model leads to evolution equations that differ from existing models. We also formulate modified initial conditions for the model to obtain closer correlation between the manifold solution and real solution. Effectiveness of the modified initial conditions is demonstrated numerically by a comparison between the manifold solution and direct numerical simulations of the original advection–diffusion equations.

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Item Type:	Article (Commonwealth Reporting Category C)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	Deposited in accordance with the copyright policy of the publisher. This is an electronic version of an article published in Quarterly Journal of Mechanics and Applied Mathematics, 57 (3), 363-378.
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited:	11 Oct 2007 01:15
Last Modified:	02 Jul 2013 22:47
Uncontrolled Keywords:	two-zone model; shear dispersion; channels; centre manifolds
Fields of Research (2008):	02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Fields of Research (2020):	40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics 40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation
Identification Number or DOI:	https://doi.org/10.1093/qjmam/57.3.363
URI:	http://eprints.usq.edu.au/id/eprint/2839

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