Nondimensional Gradually-Varied Flow Profiles

by Cheng-lung Chen,
Chun-Tsung Wang,

Serial Information: Journal of the Hydraulics Division, 1969, Vol. 95, Issue 5, Pg. 1671-1686

Document Type: Journal Paper


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.

Subject Headings: Slopes | Critical flow | Channel flow | Parameters (statistics) | Froude number | Flow profiles | Gradually varied flow | Flow visualization

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