Technical Notes
Jul 18, 2022

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

Publication: Journal of Hydraulic Engineering
Volume 148, Issue 10

Abstract

In 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.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

The authors gratefully acknowledge the financial support from the National Natural Science Foundation of China (Grant No. 51979242).

References

Bagnold, R. A. 1973. “The nature of saltation and bed load transport in water.” Proc. R. Soc. London, Ser. A 332 (1591): 473–504. https://doi.org/10.1098/rspa.1973.0038.
Buffington, J. M. 1999. “The legend of A. F. shields.” J. Hydraul. Eng. 125 (4): 376–387. https://doi.org/10.1061/(ASCE)0733-9429(1999)125:4(376).
Buffington, J. M., and D. R. Montgomery. 1997. “A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers.” Water Resour. Res. 33 (8): 1993–2029. https://doi.org/10.1029/96WR03190.
Cheng, N.-S. 1997. “Simplified settling velocity formula for sediment particle.” J. Hydraul. Eng. 123 (2): 149–152. https://doi.org/10.1061/(ASCE)0733-9429(1997)123:2(149).
Cheng, N.-S. 2008. “Comparison of settling-velocity-based formulas for threshold of sediment motion.” J. Hydraul. Eng. 134 (8): 1136–1141. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:8(1136).
Chien, N., and Z. Wan. 1999. Mechanics of sediment transport. New York: ASCE.
Nikuradse, J. 1933. Stromungsgesetze in rauhen Rohren [Laws of flow in rough pipes]. [In German.] Berlin: VDI Verlag.
Shields, A. 1936. “Anwendung der Aechichkeits-Mechanic und der Turbuleng Forschung auf dir Geschiebewegung’ Mitt Preussische.” In Versuchsanstalt für Wasserbau and Schiffbau. Pasadena, CA: California Institute of Technology.
Yalin, M. S., and E. Karahan. 1979. “Inception of sediment transport.” J. Hydraul. Div. 105 (11): 1433–1443. https://doi.org/10.1061/JYCEAJ.0005306.
Yang, C. T. 1973. “Incipient motion and sediment transport.” J. Hydraul. Div. 99 (10): 1679–1704. https://doi.org/10.1061/JYCEAJ.0003766.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 148Issue 10October 2022

History

Received: Mar 8, 2022
Accepted: May 27, 2022
Published online: Jul 18, 2022
Published in print: Oct 1, 2022
Discussion open until: Dec 18, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Professor, Ocean College, Zhejiang Univ., Zhoushan City, Zhejiang 316021, China (corresponding author). ORCID: https://orcid.org/0000-0002-7414-6745. Email: [email protected]
Research Student, Ocean College, Zhejiang Univ., Zhoushan City, Zhejiang 316021, China. Email: [email protected]
Research Student, Ocean College, Zhejiang Univ., Zhoushan City, Zhejiang 316021, China. ORCID: https://orcid.org/0000-0003-3308-8996. Email: [email protected]
Maoxing Wei [email protected]
Assistant Professor, Ocean College, Zhejiang Univ., Zhoushan City, Zhejiang 316021, China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share