Horritt, MS and Wright, NG (2013) A mixing length model for estimating channel conveyance. Proceedings of the ICE - Water Management, 166 (4). 165 - 174. ISSN 1741-7589
Abstract
This paper describes a simple, physically based mixing length model that explains the functional form of Manning's equation for mean velocity in open channels. Manning's equation has been used to describe mean velocity for over 100 years and is essentially an empirical result rather than being based on an understanding of physical processes. The model described in this paper uses Prandtl's mixing length hypothesis, with mixing length modelled at each point within the cross-section being proportional to the distance to the nearest solid boundary. The model solves equations for the along-stream velocity field using a simple numerical method on regular and irregular finite-difference meshes. The results of the model are compared with Manning's equation and the Colebrook–White formula, giving good agreement across a range of channel sizes, roughnesses and geometries. The results and comparison are used to draw useful insights into open channel flows.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2013, Thomas Telford. Reproduced in accordance with the publisher's self-archiving policy. Permission is granted by ICE Publishing to print one copy for personal use. Any other use of these PDF files is subject to reprint fees(http://www.icevirtuallibrary.com/content/journals). |
Keywords: | Fluid mechanics; Hydraulics & hydrodynamics; Mathematical modelling |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Civil Engineering (Leeds) > Inst for Pathogen Control Engineering (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 10 Feb 2014 11:55 |
Last Modified: | 15 Sep 2014 02:08 |
Published Version: | http://dx.doi.org/10.1680/wama.11.00066 |
Status: | Published |
Publisher: | Thomas Telford |
Identification Number: | 10.1680/wama.11.00066 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:77538 |