Semianalytical Model for Shear Stress Distribution in Simple and Compound Open Channels
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Abstract
Semianalytical equations were derived for distribution of shear stress in straight open channels with rectangular, trapezoidal, and compound cross sections. These equations are based on a simplified streamwise vorticity equation that includes secondary Reynolds stresses. Reynolds stresses were then modeled and their different terms were evaluated based on the work of previous researchers and experimental data. Substitution of these terms into the simplified vorticity equation yielded the relative shear stress distribution equation along the width of different channel cross sections. In compound channels the effect of additional secondary flows due to the shear layer between the main channel and the flood plain were also considered. Comparisons between predictions of the model and experimental data, predictions of other analytical or three dimensional numerical models with advanced turbulent closures, were made with good agreement.
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Acknowledgments
This research was supported in part by the Natural Science and Engineering Research Council of Canada. A student grant awarded to this work by the Ministry of Power in Iran is also appreciated.
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Published In
Journal of Hydraulic Engineering
Volume 134 • Issue 2 • February 2008
Pages: 205 - 215
Copyright
© 2008 ASCE.
History
Received: Sep 7, 2006
Accepted: Jun 19, 2007
Published online: Feb 1, 2008
Published in print: Feb 2008
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