Technical Papers
Mar 12, 2019

Formula for Sediment Transport Subject to Vertical Flows

Publication: Journal of Hydraulic Engineering
Volume 145, Issue 5

Abstract

Sediment transport is a geophysical phenomenon in which sediment particles are driven to move in streamwise and vertical directions by various forces. Almost all existing formulas of sediment transport were derived without considering vertical flows V, resulting in a large discrepancy between measured and predicted transport rates, as has been reported in the literature. This paper investigates the effect of vertical motion on sediment transport. It was found that upward fluid velocity increases particles’ mobility, and downward motion increases particles stability. Furthermore, the investigation showed that decelerating flows can promote upward flow and vice versa. New equations were developed to express the influence of vertical motion on sediment transport. A reasonably good agreement between measured and predicted sediment transport rates was achieved.

Get full access to this article

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

References

Ackers, P., and W. R. White. 1973. “Sediment transport: New approach and analysis.” J. Hydr. Div. 99 (11): 2041–2060.
Afzalimhr, H., S. Dey, and P. Rasoulianfar. 2007. “Influence of decelerating flow on incipient motion of a gravel-bed stream.” Sadhana 32 (5): 545–559. https://doi.org/10.1007/s12046-007-0041-7.
Alfadhli, I., S. Q. Yang, and M. Sivakumar. 2014. “Influence of vertical motion on initiation of sediment movement.” J. Water Resour. Prot. 6 (12): 1666–1681. https://doi.org/10.4236/jwarp.2014.618150.
Bagnold, R. A. 1966. An approach to the sediment transport problem from general physics. Washington, DC: US Government Printing Office.
Cao, D. P., Y. M. Chiew, and S. Q. Yang. 2016. “Injection effects on sediment transport in closed-conduit flows.” Acta Geophys. 64 (1): 125–148. https://doi.org/10.1515/acgeo-2015-0064.
Carling, P. A. 1983. “Threshold of coarse sediment transport in broad and narrow natural streams.” Earth Surf. Process Landforms 8 (1): 1–18. https://doi.org/10.1002/esp.3290080102.
Cellino, M., and U. Lemmin. 2004. “Influence of coherent flow structures on the dynamics of suspended sediment transport in open-channel flow.” J. Hydraul. Eng. 130 (11): 1077–1088. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:11(1077).
Chen, M. S., S. Wartel, B. V. Eck, and D. V. Maldegem. 2005. “Suspended matter in the Scheldt Estuary.” In Vol. 540 of Hydrobiologia, edited by P. Meire and S. van Damme, 79–104. Paris: Springer.
Cheng, N. S., and Y. M. Chiew. 1999. “Incipient sediment motion with upward seepage.” J. Hydraul. Res. IAHR 37 (5): 665–681. https://doi.org/10.1080/00221689909498522.
Chien, N., and Z. H. Wan. 1998. Mechanics of sediment transport, 594–595. Reston, VA: ASCE.
Chiew, Y. M., and G. Parker. 1994. “Incipient sediment motion on non-horizontal slopes.” J. Hydraul. Res. IAHR 32 (5): 649–660. https://doi.org/10.1080/00221689409498706.
Einstein, H. A. 1942. “Formulas for the transportation of bed load.” Trans. Soc. Civ. Eng. 107 (1): 561–577.
Emadzadeh, A., Y. M. Chiew, and H. Afzalimehr. 2010. “Effect of accelerating and decelerating flows on incipient motion in sand bed streams.” Adv. Water Resour. 33 (9): 1094–1104. https://doi.org/10.1016/j.advwatres.2010.06.014.
Engelund, F., and E. Hansen. 1972. A monograph on sediment transport in alluvial streams. Copenhagen, Denmark: Teknisk Forlag.
Everts, C. H. 1973. “Particle overpassing on flat granular boundaries.” J. Waterways Harbors Coastal Eng. Div. 99 (4): 425–438.
Francalanci, S. 2006. “Sediment transport processes and local scale effects on river morphodynamics.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Padova.
Francalanci, S., G. Parker, and L. Solari. 2008. “Effect of seepage-induced nonhydrostatic pressure distribution on bed-load transport and bed morphodynamics.” J. Hydraul. Eng. 134 (4): 378–389. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:4(378).
Fu, X., G. Wang, and X. Shao. 2005. “Vertical dispersion of fine and coarse sediment in turbulent open channel flows.” J. Hydraul. Eng. 131 (10): 877–888. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:10(877).
Gaucher, J., C. Marche, and T.-F. Mahdi. 2010. “Experimental investigation of the hydraulic erosion of noncohesive compacted soils.” J. Hydraul. Eng. 136 (11): 901–913. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000274.
Graf, W. H., and L. Suszka. 1987. “Sediment transport in steep channels.” J. Hydrosci. Hydraul. Eng. 5 (1): 11–26.
Hardy, R. J., J. L. Best, S. N. Lane, and P. E. Carbonneau. 2010. “Coherent flow structures in a depth-limited flow over a gravel surface: The influence of surface roughness.” J. Geophys. Res. 115 (F3): F03006. https://doi.org/10.1029/2009JF001416.
Hawksley, P. G. W. 1951. “The effect of concentration on the settling of suspensions and flow through porous media.” In Some aspects of fluid flow, 114–135. London: Edward Arnold.
Hossain, S., B. Eyre, and D. McConchie. 2001. “Suspended sediment transport dynamics in the sub-tropical micro-tidal Richmond River estuary, Australia.” Estuarine Coastal Shelf Sci. 52 (5): 529–541. https://doi.org/10.1006/ecss.2001.0786.
Kavcar, P. C., and S. J. Wright. 2009. “Experimental results on the stability of non-cohesive sediment beds subject to vertical pore water flux.” In Vol. 342 of Proc., World Environmental and Water Resources Congress 2009: Great Rivers, 3562–3571. Reston, VA: ASCE.
Kinoshita, R. 1967. “An analysis of the movement of flood waters by aerial photography: Concerning characteristics of turbulence and surface flow.” [In Japanese.] Photogramm. Surv. 6 (1): 1–17. https://doi.org/10.4287/jsprs1962.6.1.
Lamb, M. P., W. E. Dietrich, and J. G. Venditti. 2008. “Is the critical Shields stress for incipient sediment motion dependent on channel-bed slope?” J. Geophys. Res. 113 (F2): 1–20. https://doi.org/10.1029/2007JF000831.
Lee, K. T., Y. L. Liu, and K. H. Cheng. 2004. “Experimental investigation of bedload transport processes under unsteady flow conditions.” Hydrol. Process. 18 (13): 2439–2454. https://doi.org/10.1002/hyp.1473.
Liu, X. X., and Y. M. Chiew. 2012. “Effect of seepage on initiation of cohesionless sediment transport.” Acta Geophys. 60 (6): 1778–1796. https://doi.org/10.2478/s11600-012-0043-7.
Meyer-Peter, E., and R. Muller. 1948. “Formula for bed load transport.” In Vol. 6 of Proc., 2nd Meeting IAHR. Stockholm, Sweden: IAHR.
Myrhaug, D. 1995. “Measurement and analysis of flow velocity and sediment concentration at the sea bed.” Appl. Mech. Rev. 48 (9): 570–588. https://doi.org/10.1115/1.3023146.
Neill, C. R. 1967. “Mean velocity criteria for scour of coarse uniform bed material.” In Vol. 3 of Proc., 12th Congress IAHR, 46–54. Fort Collins: Verlag nicht ermittelbar.
Nezu, I., and R. Azuma. 2004. “Turbulence characteristics and interaction between particles and fluid in particle-laden open channel flows.” J. Hydr. Eng. 130 (10): 988–1001. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:10(988).
Nezu, I., and H. Nakagawa. 1993. Turbulence in open-channel flows. Brookfield, VT: A.A. Balkema.
Oldenziel, D. M., and W. E. Brink. 1974. “Influence of suction and blowing on entrainment of sand particles.” J. Hydraul. Div. 100 (7): 935–949.
Richardson, J. R., S. R. Abt, and E. V. Richardson. 1985. “Inflow seepage influence on straight alluvial channels.” J. Hydraul. Eng. 111 (8): 1133–1147. https://doi.org/10.1061/(ASCE)0733-9429(1985)111:8(1133).
Sarker, L. K., and M. M. Hossain. 2006. “Shear stress for initiation of motion of median sized sediment of no uniform sediment mixtures.” J. Civ. Eng. 34 (2): 103–114.
Schlichting, H. 1979. Boundary-layer theory. 7th ed. New York: McGraw-Hill.
Shields, A. 1936. Anwendung der Aehnlichkeitsmechanik und der Turbulenzforschung auf die Geschiebebewegung. Mitt. Preuss. Versuchsanst. Wasserbau Schiffbau. (English translation by W. P. Ott and J. C. van Uchelen, USDA Soil Conser. Serv. Coop. Lab., California Institute of Technology. Pasadena, 1936). Pasadena, CA: California Institute of Technology.
Shvidchenko, A. B., and G. Pender. 2000. “Flume study of the effect of relative depth on the incipient motion of coarse uniform sediments.” Water Resour. Res. 36 (2): 619–628. https://doi.org/10.1029/1999WR900312.
Steinour, H. H. 1944. “Rate of sedimentation. Part 1: Nonflocculated suspensions of uniform spheres.” Ind. Eng. Chem. 36 (7): 618–624. https://doi.org/10.1021/ie50415a005.
Van de Graaff, J. 1988. “Sediment concentration due to wave action.” Ph.D. thesis, Dept. of Civil Engineering and Geosciences, Delft Univ. of Technology.
Vanoni, V. A. 1946. “Transportation of suspended sediment by running water.” Trans. Am. Soc. Civ. Eng. 111 (1): 67–133.
van Rijn, L. C. 1984. “Sediment transport, Part II: Suspended load transport.” J. Hydr. Eng. 110 (11): 1613–1641. https://doi.org/10.1061/(ASCE)0733-9429(1984)110:11(1613).
Velikanov, M. A. 1954. “Gravitational theory for sediment transport.” [In Russian.] J. Sci. Soviet Union Geophys. 4 (3), in press.
White, S. J. 1970. “Plane bed threshold of fine grained sediments.” Nature 228 (5267): 152–153. https://doi.org/10.1038/228152a0.
Wren, D. G., R. Kuhnle, and C. G. Wilson. 2007. “Measurements of the relationship between turbulence and sediment in suspension over mobile sand dunes in a laboratory flume.” J. Geophy. Res. 112: F03009. https://doi.org/10.1029/2006JF000683.
Yalin, M. S. 1977. Mechanics of sediment transport. Oxford, UK: Pergamon.
Yang, C. T. 1973. “Incipient motion and sediment transport.” J. Hydraul. Div. 99 (10): 1679–1704.
Yang, S. Q. 2005. “Formula for sediment transport in rivers, estuaries and coastal waters.” J. Hydraul. Eng. 131 (11): 968–979. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:11(968).
Yang, S. Q. 2007. “Turbulent transfer mechanism in sediment-laden flow.” J. Geophys. Res. 112 (F1): 1–14. https://doi.org/10.1029/2005JF000452.
Yang, S. Q. 2009a. “Influence of sediment and secondary currents on velocity.” Water Manage. 162 (5): 299–309. https://doi.org/10.1680/wama.2009.162.5.299.
Yang, S. Q. 2009b. “Mechanism for initiating secondary currents in channel flows.” Can. J. Civ. Eng. 36 (9): 1506–1516. https://doi.org/10.1139/L09-081.
Yang, S. Q. 2009c. “Velocity distribution and wake-law in gradually decelerating flows.” J. Hydr. Res. IAHR 370 (1–4): 177–190. https://doi.org/10.1016/j.jhydrol.2009.03.005.
Yang, S. Q. 2013. “Why cannot sediment transport be accurately predicted.” In Proc., 35th IAHR World Congress. Chengdu, China: IAHR.
Yang, S. Q., S. C. Koh, I. S. Kim, and Y. C. Song. 2007. “Sediment transport capacity-an improved Bagnold formula.” Int. J. Sediment Res. 22 (1): 27–38.
Yang, S. Q., and S. Y. Lim. 2003. “Total load transport formula for flow in alluvial channels.” J. Hydraul. Eng. 129 (1): 68–72. https://doi.org/10.1061/(ASCE)0733-9429(2003)129:1(68).
Yang, S. Q., and S. K. Tan. 2008. “Flow resistance over mobile bed in an open-channel flow.” J. Hydraul. Eng. 134 (7): 937–947. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:7(937).

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 145Issue 5May 2019

History

Received: Jun 20, 2018
Accepted: Oct 25, 2018
Published online: Mar 12, 2019
Published in print: May 1, 2019
Discussion open until: Aug 12, 2019

Permissions

Request permissions for this article.

Authors

Affiliations

Shu-Qing Yang [email protected]
Associate Professor, School of Civil, Mining, and Environmental Engineering, Faculty of Engineering, Univ. of Wollongong, NSW 2522, Australia. 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.

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