Boundary Shear Stress in Rectangular Ice-Covered Channels
Publication: Journal of Hydraulic Engineering
Volume 141, Issue 6
Abstract
This paper develops an analytical approach to evaluate the mean boundary shear stress in rectangular ice-covered channels. The flow cross section was divided into an upper ice layer and a lower bed layer at the plane of zero shear stress, determined analytically from an order of the Boussinesq approximation involving the eddy viscosity concept, together with Prandtl’s mixing length theory. The conformal mapping procedure was used to obtain the functional relationships for the division curves within each flow layer. Based on the force balance in each flow subregion, an analytical model for the average bed, ice, and side-wall shear stresses was developed. The two-power law for describing vertical velocity profiles in asymmetric channels was adopted to determine the location of zero shear stress and its parameters, determined using coupled equations for the flat-bed friction factor and an empirical relationship for the bed-form friction factor. A comparison between the results of the present model and the collected data from literature shows that the proposed method does well in predicting the mean boundary shear stress in rectangular ice-covered channels.
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Acknowledgments
The financial support for the research reported in this paper was provided by the Major Science and Technology Program for Water Pollution Control and Treatment (No. 2013ZX07102-006) and the Natural Science Foundation of China (No. 51479007). The writers are grateful to the anonymous reviewers for providing numerous constructive suggestions.
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Published In
Journal of Hydraulic Engineering
Volume 141 • Issue 6 • June 2015
Copyright
© 2015 American Society of Civil Engineers.
History
Received: May 24, 2014
Accepted: Jan 9, 2015
Published online: Feb 20, 2015
Published in print: Jun 1, 2015
Discussion open until: Jul 20, 2015
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