期刊
JOURNAL OF IRRIGATION AND DRAINAGE ENGINEERING
卷 137, 期 9, 页码 585-592出版社
ASCE-AMER SOC CIVIL ENGINEERS
DOI: 10.1061/(ASCE)IR.1943-4774.0000334
关键词
Drainage channel; Open channel; Riprap; Channel design; Composite roughness; Shear stress; Optimal
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. DOI: 10.1061/(ASCE)IR.1943-4774.0000334. (C) 2011 American Society of Civil Engineers.
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