Flow resistance equation for rills

In this paper, a new flow resistance equation for rill flow was deduced applying dimensional analysis and self‐similarity theory. At first, the incomplete self‐similarity hypothesis was used for establishing the flow velocity distribution whose integration gives the theoretical expression of the Dar...

Full description

Saved in:
Bibliographic Details
Published in:Hydrological processes 2017-07, Vol.31 (15), p.2793-2801
Main Authors: Di Stefano, Costanza, Ferro, Vito, Palmeri, Vincenzo, Pampalone, Vincenzo
Format: Article
Language:English
Subjects:
Cross-sections
Darcy-weisbach equation
Dimensional analysis
Flow resistance
Flow velocity
Friction
Friction factor
Friction resistance
Froude number
Integration
Mathematical analysis
Mathematical models
plot measurements
rill flow
Rills
Self-similarity
Similarity
Similarity theory
soil erosion
Velocity
Velocity distribution
velocity profile
Water depth
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, a new flow resistance equation for rill flow was deduced applying dimensional analysis and self‐similarity theory. At first, the incomplete self‐similarity hypothesis was used for establishing the flow velocity distribution whose integration gives the theoretical expression of the Darcy–Weisbach friction factor. Then the deduced theoretical resistance equation was tested by some measurements of flow velocity, water depth, cross section area, wetted perimeter, and bed slope carried out in 106 reaches of some rills shaped on an experimental plot. A relationship between the velocity profile, the channel slope, and the flow Froude number was also established. The analysis showed that the Darcy–Weisbach friction factor can be accurately estimated by the proposed theoretical approach based on a power–velocity profile.
ISSN:0885-6087
1099-1085
DOI:10.1002/hyp.11221