TECHNICAL PAPERS
Jun 1, 1986

Mathematical Modeling of Suspended Sediment in Nonuniform Flows

Publication: Journal of Hydraulic Engineering
Volume 112, Issue 6

Abstract

A two‐dimensional vertical mathematical model for suspended sediment is presented. The model is based on the width‐integrated convectiondiffusion equation for the sediment particles including settling effects. The local fluid velocities and mixing coefficients are described by a new so‐called Profile model, which is based on the application of flexible profiles to represent the vertical distribution of the basic variables. Measured and computed velocities of strongly nonuniform flows were used for calibration of the Profile model. A stochastic approach is introduced to represent the sediment input at the bed. A bed concentration or an upward sediment flux can be specified (optional). The convection‐diffusion equation is solved by a finite‐element method, which proved to be better than a finite‐difference method. An extensive sensitivity analysis is presented to show the influence of the main controlling parameters of the model. Finally, a verification analysis is presented using flume and field data of dredged trenches.

Get full access to this article

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

References

1.
Alfrink, B. J., and Rijn, L. C., van, “Two‐Equation Turbulence Model for Flow in Trenches,” Journal of Hydraulic Engineering, ASCE, Vol. 109, No. 7, July, 1983, pp. 941–958.
2.
Coleman, N. L., “Flume Studies of the Sediment Transfer Coefficient,” Water Resources Research, Vol. 6, No. 3, 1970.
3.
Coles, D., “The Law of the Wake in the Turbulent Boundary Layer,” Journal of Fluid Mechanics, Vol. 1, 1965.
4.
Delft Hydraulics Laboratory, “Semi‐Empirical Model for the Flow in Dredged Trenches,” Report R 1267 III, Delft, The Netherlands, 1980.
5.
Delft Hydraulics Laboratory, “Computation of Siltation in Dredged Trenches: Mathematical Model,” Report R 1267 V, Delft, The Netherlands, 1980.
6.
Delft Hydraulics Laboratory, “Development of Sediment Concentration Profiles in a Steady Uniform Flow without Initial Sediment Load,” Report M. 1531 II and III, Delft, The Netherlands, 1981 and 1983.
7.
Hjelmfelt, A. T., and Lenau, C. W., Non‐Equilibrium Transport of Suspended Sediment, Journal of the Hydraulic Division, ASCE, HY 7, July, 1970, pp. 1567–1586.
8.
Kerssens, P. J. M., Prins, A., and Rijn, L. C., van, “Model for Suspended Sediment Transport,” Journal of the Hydraulic Division, ASCE, HY 5, May, 1979, pp. 461–476.
9.
O'Connor, B. A., Siltation in Dredged Channels, Paper E2, Symposium on Dredged Technology, Univ. of Kent, Canterbury, England, 1975.
10.
Rodi, W., “Turbulence Models and their Application in Hydraulics,” IAHR Section on Fundamentals, Delft, The Netherlands, 1980.
11.
Rijn, L. C., van, “Model for Sedimentation Predictions,” 19th IAHR Congress, New Delhi, India, 1981.
12.
Rijn, L. C., van, “The Development of Concentration Profiles in a Steady Uniform Flow without Initial Sediment Load,” IAHR Workshop on Particle Motion and Sediment Transport, Rapperswil, Switzerland, 1981.
13.
Rijn, L. C., van, “Computation of Bed Load Concentration and Bed Load Transport,” Report S 487 I, Delft, The Netherlands, 1981.
14.
Rijn, L. C., van, “Computation of Bed Load and Suspended Load,” Report S 487 II, Delft, The Netherlands, 1982.
15.
Rijn, L. C., van, “Sediment Transportation in Heavy Sediment Laden Flows,” International Symposium on River Sedimentation, Nanjing, China, 1983.
16.
Rijn, L. C., van, “Sediment Transport, Part 1: Bed Load Transport,” Journal of Hydraulic Engineering, ASCE, No. 10, Oct. 1984, pp. 1431–1456.
17.
Rijn, L. C., van, “Sediment Transport, Part 2: Suspended Load Transport,” Journal of Hydraulic Engineering, No. 11, Nov., 1984, pp. 1613–1641.
18.
Rijn, L. C., van, “Two‐Dimensional Vertical Mathematical Model for Suspended Sediment Transport by Currents and Waves,” Report S 488 IV, Delft, The Netherlands, 1984.
19.
Rijn, L. C., van, “Mathematical Models for the Computation of Sediment Concentration Profiles in Steady Flow,” Invited Lecture, Euromech Colloquium 192, Munich, West Germany, 1985.
20.
Vreugdenhil, C. B., “Numerical Solution of a Convection‐Diffusion Equation Using Finite Elements,” Note X 59, Delft, The Netherlands, 1982.
21.
Vreugdenhil, C. B., “Finite‐Difference Methods for Bed Level Computation for an Unknown Migration Velocity,” in Dutch, Note X 61, Delft, The Netherlands, 1982.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 112Issue 6June 1986
Pages: 433 - 455

History

Published online: Jun 1, 1986
Published in print: Jun 1986

Permissions

Request permissions for this article.

Authors

Affiliations

Leo C. van Rijn
Sr. Engr., Delft Hydr. Lab., P.O. Box 152, Emmeloord, The Netherlands

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.

Cited by

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