Research Article
Sep 1969
Nondimensional Gradually-Varied Flow Profiles
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VIEW THE REPLYPublication: Journal of the Hydraulics Division
Volume 95, Issue 5
Abstract
Chezy's and Manning's flow formulas are used to formulate flow equations for gradually-varied flow in wide rectangular channels. The flow equations are normalized by critical depth and critical slope, so that a parameter governing the flow is evident. This parameter is called normal-flow Froude number for flow on sustaining (mild, critical, and steep) slopes, and conceptual normal-flow Froude number for flow on adverse slopes. No third parameter governs flow on the horizontal slope. Critical depth, critical slope, and the normal-flow Froude number can be systematically found from nomographs for flow of a given discharge per unit width in a wide channel of given channel slope and roughness. Hydraulic-jump equation can also be normalized with the same normalizing quantities used in flow equations. Solutions of normalized flow and hydraulic-jump equations are graphically expressed, permitting direct use.
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Published In
Journal of the Hydraulics Division
Volume 95 • Issue 5 • September 1969
Pages: 1671 - 1686
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: Sep 1969
Published online: Feb 3, 2021
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Cheng-lung Chen, AM.ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
Chun-Tsung Wang, AM.ASCE
Research Asst., Dept. of Civ. Engrg., Univ. of Illinois, Urbana, Ill.
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