Optimal Hydraulic Section of Ice-Covered Open Trapezoidal Channel
Publication: Journal of Cold Regions Engineering
Volume 31, Issue 3
Abstract
Previous studies have focused on the optimal hydraulic section for ice-free channels only. This paper presents the optimal trapezoidal section and its characteristics under ice-covered conditions. Using the Lagrange multiplier optimization method, formulas for the dimensions of the optimal hydraulic trapezoidal section are derived. The results show that the optimal hydraulic section under ice-covered conditions is different from that under ice-free conditions. The optimal width-to-depth ratio depends not only on the side slope, but also on the roughness coefficients of the ice cover and channel bed (bottom and sides). The ratio of bed roughness (or ice-cover roughness) to composite roughness is another key parameter in determining the shape of the optimal section. The comparison with the ice-free section shows that the optimal hydraulic section under ice-covered conditions is relatively narrow and deep, which helps reduce the heat loss at the water surface. Practical aspects of the optimal hydraulic section under ice-covered conditions are addressed.
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Acknowledgments
This research project is supported by the Key Research and Development Program of Shandong Province, China (2016GSF117038), National Science and Technology Support Program of China (2015BAB07B02), the Development of Science and Technology Plan of Jinan City, China (201302052), and the Teaching & Research Projects of the University of Jinan (J1641).
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Information & Authors
Information
Published In
Journal of Cold Regions Engineering
Volume 31 • Issue 3 • September 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Nov 18, 2014
Accepted: Nov 22, 2016
Published ahead of print: Jan 30, 2017
Published online: Jan 31, 2017
Discussion open until: Jun 30, 2017
Published in print: Sep 1, 2017
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