Most Hydraulically Efficient Riprap-Lined Drainage Channels
Publication: Journal of Irrigation and Drainage Engineering
Volume 137, Issue 9
Abstract
Dimensions of the most hydraulically efficient trapezoidal and triangular drainage channels (that is, those with the smallest possible cross-section areas) whose banks are lined with loose rock riprap are found along with the stable stone diameter by solving a constrained nonlinear minimization problem. The problem statement is made dimensionless and less complicated by normalizing solution variables and combining parameters into two dimensionless quantities that describe the composite roughness of a channel and the stability of the rock lining. Normalized values of section bottom width, water depth, and rock diameter, along with the channel side-slope ratio, are found numerically. Results of the analysis are presented graphically and, when practical, in the form of empirical expressions. The solutions, which are comprehensive, give cross-section dimensions and the rock size needed to maintain a stable bank lining, greatly simplify design of hydraulically efficient riprap-lined open channels.
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Information & Authors
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Published In
Journal of Irrigation and Drainage Engineering
Volume 137 • Issue 9 • September 2011
Pages: 585 - 592
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Aug 11, 2010
Accepted: Dec 22, 2010
Published online: Aug 15, 2011
Published in print: Sep 1, 2011
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