TECHNICAL PAPERS
Jul 1, 2000

Influence of Streamwise Bed Slope on Sediment Threshold under Stream Flow

Publication: Journal of Irrigation and Drainage Engineering
Volume 126, Issue 4

Abstract

This paper presents an experimental investigation of the noncohesive sediment threshold under a unidirectional steady-uniform stream flow on streamwise sloping (down slope and adverse) sedimentary beds. The theoretical analysis of the equilibrium of a solitary sediment particle lying on a sloping sedimentary bed shows that the threshold shear stress ratio, that is, the ratio of threshold shear stress for sloping bed to that for plane bed, is a function of the streamwise bed slope and angle of repose of sediment particles. Experiments carried out in two long rectangular ducts (closed-conduit flow) with nine types of sediments show that the equation derived from theoretical analysis corresponds closely to the experimental data. In an open channel flow (laboratory flume study), uniform flow is a difficult, if not impossible, proposition for a steeply sloping channel and is impossible to obtain in an adversely sloping channel. To avoid this problem, the tests were conducted with a closed-conduit flow.

Get full access to this article

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

References

1.
Allen, J. R. L. (1982). “Simple models for the shape and symmetry of tidal sand wave: (1) Statically stable equilibrium forms.” Marine Geol., Amsterdam, 48, 13–49.
2.
ASCE Task Force on Friction Factors on Open Channels. (1963). “Friction factor in open channels.”J. Hydr. Div., ASCE, 89(2), 97–143.
3.
Barr, D. I. H., and Herbertson, J. G. (1966). “Discussion of `Sediment transportaton mechanics: Initiation of motion' by Task Committee.”J. Hydr. Div., ASCE, 92(6), 248–253.
4.
Chiew, Y. M., and Parker, G. (1994a). “Basic data on incipient sediment motion on non-horizontal slopes in closed-conduit flow.” Tech. Memo. No. 234, St. Anthony Falls Hydr. Lab., University of Minnesota, Minneapolis.
5.
Chiew, Y. M., and Parker, G. (1994b). “Incipient sediment motion on non-horizontal slopes.”J. Hydr. Res., 32(5), 649–660.
6.
Debnath, K. ( 2000). “Sediment threshold and pick-up on stream-wise sloping beds.” PhD thesis, Dept. of Appl. Mech., Regional Engrg. College at Durgapur, University of Burdwan, India.
7.
Dey, S. (1999). “Sediment threshold.” Appl. Math. Modelling, 23(5), 399–417.
8.
Dey, S., Bose, S. K., and Sastry, G. L. N. (1995). “Clear water scour at circular piers: A model.”J. Hydr. Engrg., ASCE, 121(12), 869–876.
9.
Dey, S., Dey Sarker, H. K., and Debnath, K. (1999). “Sediment threshold under stream flow on horizontal and sloping beds.”J. Engrg. Mech., ASCE, 125(5), 545–553.
10.
Dyer, K. R. (1986). Coastal and estuarine sediment dynamics, Wiley, London.
11.
Garde, R. J., and Ranga Raju, K. G. (1985). Mechanics of sediment transportation and alluvial stream problems, Wiley Eastern Ltd., New Delhi.
12.
Graf, W. H. (1971). Hydraulics of sediment transport, McGraw-Hill, New York.
13.
Howard, A. D. (1977). “Effect of slope on the threshold of motion and its application to orientation of wind ripples.” Bull. Geol. Soc. Am., 88, 853–856.
14.
Ippen, A. T., and Eagleson, P. S. (1955). “A study of sediment sorting by waves shoaling on a plane beach.” Tech. Memo. No. 63, U.S. Army Corps of Engrs., Beach Erosion Board.
15.
Iversen, J. D., and Rasmussen, K. R. (1994). “The effect of surface slope on saltation threshold.” Sedimentation, 41, 721–728.
16.
Kalinske, A. A. (1942). “Criteria for determining sand-transport by surface-creep and saltation.” Trans. Am. Geophys. Union, 639–643.
17.
Lau, L. Y., and Engel, P. (1999). “Inception of sediment transport on steep slopes.”J. Hydr. Engrg., ASCE, 125(5), 544–547.
18.
Lavelle, J. W., and Mofjeld, H. O. (1987). “Bibliography on sediment threshold velocity.”J. Hydr. Engrg., ASCE, 113(3), 389–393.
19.
Liu, H. K. (1958). “Closure to `Mechanics of sediment-ripple formation.' ”J. Hydr. Div., ASCE, 84(5), 10–12.
20.
Luque, R. F., and van Beek, R. (1976). “Erosion and transport of bed-load sediment.”J. Hydr. Res., 14(2), 127–144.
21.
Mantz, P. A. (1977). “Incipient transport of fine grains and flanks by fluids—Extended Shields diagram.”J. Hydr. Div., ASCE, 103(6), 601–615.
22.
Miller, M. C., McCave, I. N., and Komar, P. D. (1977). “Threshold of sediment motion under unidirectional currents.” Sedimentology, 24, 507–527.
23.
Raudkivi, A. J. (1976). Loose boundary hydraulics, Pergamon, Oxford, U.K.
24.
Rubinow, S. I., and Keller, J. B. (1961). “The transverse force on a spinning sphere moving in a viscous fluid.” J. Fluid Mech., Cambridge, U.K., 11, 447–459.
25.
Saffman, P. G. (1965). “The lift on a small sphere in a slow shear flow.” J. Fluid Mech., Cambridge, U.K., 22, 385–400.
26.
Saffman, P. G. (1968). “Corrigendum, the lift on a small sphere in a slow shear flow.” J. Fluid Mech., Cambridge, U.K., 31, 624.
27.
Sarre, R. D. (1987). “Aeolian sand transport.” Progress in Phys. Geography, 11, 157–182.
28.
Shields, A. (1936). “Application of similarity principles and turbulence research to bed-load movement.” Mitteilunger der Preussischen Versuchsanstalt für Wasserbau und Schiffbau, Berlin, 26, 5–24.
29.
Smart, G. M. (1984). “Sediment transport formula for steep channels.”J. Hydr. Engrg., ASCE, 110(3), 267–276.
30.
Stevens, M. A., Simons, D. B., and Lewis, G. L. (1976). “Safety factor for riprap protection.”J. Hydr. Engrg., ASCE, 102(5), 637–655.
31.
Task Committee. (1966). “Sediment transportation mechanics: Initiation of motion.”J. Hydr. Div., ASCE, 92(2), 291–314.
32.
Vanoni, V. A. (1975). “Sedimentation engineering.” ASCE manual no. 54.
33.
Whitehouse, R. J. S., and Hardisty, J. (1988). “Experimental assessment of two theories for the effect of bed slope on the threshold of bed-load transport.” Marine Geol., Amsterdam, 79, 135–139.
34.
Yalin, M. S., and Karahan, E. (1979). “Inception of sediment transport.”J. Hydr. Div., ASCE, 105(11), 1433–1443.

Information & Authors

Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 126Issue 4July 2000
Pages: 255 - 263

History

Received: Jun 4, 1999
Published online: Jul 1, 2000
Published in print: Jul 2000

Permissions

Request permissions for this article.

Authors

Affiliations

Asst. Prof., Dept. of Civ. Engrg., Indian Inst. of Technol., Kharagpur 721302, West Bengal, India. E-mail: [email protected]; currently, Visiting Prof., Institut für Wasserbau, Universität Stuttgart, Pfaffenwaldring 61, D-7055, Stuttgart, Germany.
Lect., Dept. of Appl. Mech. and Drawing, Bengal Engrg. College, Howrah 711103, West Bengal, India. E-mail: [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