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RESEARCH PRODUCT

Rill flow resistance law under equilibrium bed‐load transport conditions

Vincenzo PampaloneVincenzo PalmeriAlessio NicosiaCostanza Di StefanoVito Ferro

subject

Flow resistancegeographygeography.geographical_feature_categoryflow velocity profileself-similarityrill flow resistanceMechanicsbed-loadRilldimensional analysiSettore AGR/08 - Idraulica Agraria E Sistemazioni Idraulico-ForestaliGeologyWater Science and TechnologyBed load

description

In this paper, a recently deduced flow resistance equation for open channel flow was tested under equilibrium bed-load transport conditions in a rill. First, the flow resistance equation was deduced applying dimensional analysis and the incomplete self-similarity condition for the flow velocity distribution. Then, the following steps were carried out for developing the analysis: (a) a relationship (Equation) between the Γ function of the velocity profile, the rill slope, and the Froude number was calibrated by the available measurements by Jiang et al.; (b) a relationship (Equation) between the Γ function, the rill slope, the Shields number, and the Froude number was calibrated by the same measurements; and (c) the Darcy–Weisbach friction factor values measured by Jiang et al. were compared with those calculated by the rill flow resistance equation with Γ estimated by Equations and. This last comparison demonstrated that the rill flow resistance equation, in which slope and Shields number, representative of sediment transport effects, are introduced, is characterized by the lowest values of the estimate errors.

https://doi.org/10.1002/hyp.13402