Validation of Bagnold’s Approximation of Critical Near-Bed Flow Velocity for Incipient Sediment Motion as Particle Settling Velocity

AbstractIn the derivation of his bedload formula, Bagnold approximated the critical near-bed flow velocity for incipient sediment motion as the particle settling velocity. However, this approximation has not yet been validated since Bagnold’s bedload formula was proposed in 1973. By comparing the dr...

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Bibliographic Details
Published in:Journal of hydraulic engineering (New York, N.Y.) N.Y.), 2022-10, Vol.148 (10)
Main Authors: Cheng, Nian-Sheng, Xu, Puer, Lu, Yesheng, Wei, Maoxing
Format: Article
Language:English
Subjects:
Approximation
Bed load
Drag coefficient
Drag coefficients
Flow velocity
Mathematical analysis
Particle settling
Sediment
Sediment transport
Settling rate
Settling velocity
Technical Note
Technical Notes
Velocity
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Summary:AbstractIn the derivation of his bedload formula, Bagnold approximated the critical near-bed flow velocity for incipient sediment motion as the particle settling velocity. However, this approximation has not yet been validated since Bagnold’s bedload formula was proposed in 1973. By comparing the drag coefficient defined based on the critical near-bed flow velocity and that defined based on the particle settling velocity, this note shows that the difference between the two velocities is negligible, which substantiates Bagnold’s approximation.
ISSN:0733-9429
1943-7900
DOI:10.1061/(ASCE)HY.1943-7900.0002012