Direct Analytical Solution of Turbulent Surface Water Flow on a Slope
Publication: Journal of Hydrologic Engineering
Volume 18, Issue 8
Abstract
A direct analytical approach is proposed to study the turbulent surface water flow on a slope. Both unplanted ground and grassed ground are investigated by dividing the flow field into two layers—homogenous water layer/vegetation layer and permeable soil layer, respectively. The soil and vegetation layers are regarded as porous media, and Biot’s poroelastic theory is applied. The effect of vegetation on flow velocity is also analyzed. As the Reynolds stresses become larger, the turbulent strength increases, and the velocity distributions become more uniform. The average velocity is compared with that calculated by Manning’s formula and the kinematic-wave equation. The result shows that the average velocity using the kinematic-wave equation is the highest, and the present solution is the smallest for both cases.
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Acknowledgments
This study was supported by the National Science Council of Taiwan, R.O.C., under grant NSC 96-2313-B-005-038-MY2. The writer also wishes to thank Susan Bolton, Professor, College of Forest Resources, University of Washington, Seattle, Washington 98195, for her helpful improvement of the writing.
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Published In
Journal of Hydrologic Engineering
Volume 18 • Issue 8 • August 2013
Pages: 976 - 982
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Oct 14, 2011
Accepted: Aug 8, 2012
Published online: Aug 20, 2012
Discussion open until: Jan 20, 2013
Published in print: Aug 1, 2013
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