Spatially Averaged Flows over Mobile Rough Beds: Definitions, Averaging Theorems, and Conservation Equations
Publication: Journal of Hydraulic Engineering
Volume 139, Issue 8
Abstract
This paper reports the double-averaged (in space and in time) hydrodynamic equations for mobile-boundary conditions that are derived based on the refined double-averaging theorems, modified Reynolds decomposition, and improved definitions of the spatial and time bed porosities. The obtained double-averaged conservation equations provide a mathematical framework for studying mobile-boundary flows such as gravel bed rivers during flood events or flows over vegetated beds. These equations will help in designing measurement campaigns for obtaining mobile bed data and their interpretation and parameterization, eventually leading to improved and more robust predictive models.
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Acknowledgments
The work was partly supported by the EPSRC, UK (EP/G056404/1), within the project “High-resolution numerical and experimental studies of turbulence-induced sediment erosion and near-bed transport,” and was also stimulated by the Scientific Research Network WO.027p11N “The functioning of river ecosystems through plant-flow-soil interactions.” The authors are grateful to the editor and the reviewers for helpful suggestions that improved the final version of the paper.
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Published In
Journal of Hydraulic Engineering
Volume 139 • Issue 8 • August 2013
Pages: 803 - 811
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 27, 2012
Accepted: Jan 28, 2013
Published online: Jan 30, 2013
Discussion open until: Jun 30, 2013
Published in print: Aug 1, 2013
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