Skip to main content
Log in

Theoretical and probabilistic analyses of incipient motion of sediment particles

  • Water Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope Submit manuscript

Abstract

Initiation of sediment particles by the flow can be classified by three different modes: rolling, sliding, and lifting. In this paper, threshold conditions of each mode obtained from force and momentum balances are investigated. Theoretical analysis of these conditions leads to curves similar to Shields diagram, resulting that the rolling and lifting thresholds yield the minimum and the maximum values of dimensionless critical shear stresses, respectively. A probabilistic analysis of the same problem is carried out under the assumption that the velocity approaching the particle has a normal distribution. The results revealed that about 4% of the particles on the bed are lifted when the critical bed shear stress by Shields is applied. Entrainment probability and saltating probability are also estimated, and they are compared with existing results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Cao, Z. (1997). “Turbulent bursting-based sediment entrainment function.”Journal of Hydraulic Engineering, ASCE, Vol. 123, No. 3, pp. 233–238.

    Article  Google Scholar 

  2. Cheng, N.S. and Chiew, Y.M. (1998), “Pickup probability for sediment entrainment.”Journal of Hydraulic Engineering ASCE, Vol. 124, No. 2, pp. 232–235.

    Article  Google Scholar 

  3. Cheng, N.-S. and Chiew, Y.-M. (1999). “Analysis of initiation of sediment suspension from bed load.”Journal of Hydraulic Engineering, ASCE, Vol. 125, No. 8, pp. 855–861.

    Article  Google Scholar 

  4. Chepil, W.S. (1958). “Use of evenly spaced hemispheres to evaluate aerodynamic forces on soil surfaces.”Eos. Transactions of AGU, Vol. 39, No. 3, pp. 397–404.

    Google Scholar 

  5. Coleman, N.L. (1967). “A theoretical and experimental study of drag and lift forces acting on a sphere resting on a hypothetical stream bed.”Proceeding 12th Congress of IAHR, Fort Collins, CO., Vol. 3, pp. 185–192.

    Google Scholar 

  6. Einstein, H. (1950). “The bed load function for sediment transportation in open channel flows.”Tech. Bull. 1026, U.S. Department of Agriculture, Washington, D.C.

    Google Scholar 

  7. Einstein, H.A. and El-Samni, E.A. (1949). “Hydrodynamics forces on a rough wall.”Rev. of Modern Phys., Vol. 21, pp. 520–524.

    Article  Google Scholar 

  8. Fredsoe, J. and Deigaard, R. (1992).Mechanics of Coastal Sediment Transport. World Scientific Publishing Co., River Edge, NJ.

    Google Scholar 

  9. Ikeda, S. (1982). “Incipient motion of sand particles on side slope.”Journal of the Hydraulics Division, ASCE, Vol. 108, No. HY1, pp. 95–113.

    Google Scholar 

  10. Jain, S. (1991). “Note on lag in bedload discharge.”Journal of Hydraulic Engineering. ASCE, Vol. 118, No. 6, pp. 904–915.

    Article  Google Scholar 

  11. Kennedy, J.F. (1995). “The Albert Shields story.”Journal of Hydraulic Engineering, ASCE, Vol. 121, No. 11, pp. 766–772.

    Article  Google Scholar 

  12. Kironoto, B.A. and Graf, W.H. (1994). “Turbulence characteristics in rough uniform open-channel flow.”Proceeding of International Civil Engineers, Water, Maritime, and Energy, London, England, Vol. 106, pp. 333–344.

    Google Scholar 

  13. Li, Z. Y.,et al. (1983). “Laboratory investigation on drag and lift forces acting on bed spheres.”Proceeding of 2nd International Symposium of River Sedimentation, Water and Power Press, Beijing, China, pp. 330–340.

    Google Scholar 

  14. Miller, R.L. and Byrne, R.J. (1966). “The angle of repose for a single grain on a fixed rough bed.”Sedimentology, Vol. 6, pp. 303–314.

    Article  Google Scholar 

  15. Neill, C.R. and Yalin, M.S. (1969). “Qualitative definition of beginning of bed movement.”Journal of the Hydraulics Division, ASCE, Vol. 95, No. 1 pp. 585–587.

    Google Scholar 

  16. Nezu, I. and Nakagawa, H. (1993). “Turbulence in Open channel flows.” IAHR Monograph, A.A. Balkema, Rotterdam, The Netherlands.

    Google Scholar 

  17. Papanicolau, A. (1997). “The role of turbulence on the initiation of sediment motion.” Ph.D. dissertation, Department of Civil Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA.

    Google Scholar 

  18. Papanicolau, A. (1999). “Discussion of Pick up probability for sediment entrainment, by Cheng and Chiew.”Journal of Hydraulic Engineering, ASCE, Vol. 125, No. 7, pp. 788–789.

    Article  Google Scholar 

  19. Patnaik, P.C., Vittal, N., and Pande, P.K. (1994). “Lift coefficient of a stationary sphere in gradient flow.”Journal of Hydraulic Research, IAHR, Vol. 32, No. 3, pp. 471–480.

    Article  Google Scholar 

  20. Reichardt, H. (1951). “Vollstandige darstellung der tubulenten geschwindig-keitsverteilung in glatten leitungen.”Z. Angew. Math. Mech., Berlin, Germany, Vol. 31, No. 7, pp. 208–219 (in German).

    Article  MATH  Google Scholar 

  21. Wiberg, P.L. and Smith, J.D. (1985). “A theoretical model for saltating grains in water.”Journal of Geophysical Research, AGU, Vol. 90, No. c4, pp. 7341–7354.

    Article  Google Scholar 

  22. Wiberg, P.L. and Smith, J.D. (1987). “Calculation of the critical Shear Stress for Motion of uniform and heterogeneous sediments.”Water Resource Research, AGU, Vol. 23, No. 8, pp. 1471–1480.

    Article  Google Scholar 

  23. Zhang, X. and Takahashi T. (2000). “Shear stress and percentage of initiating particles on the bed.”Stochastic Hydraulics 2000, edited by Z.-Y. Wang and S.-X. Hu, Beijing, China, pp. 325–331.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sung-Uk Choi.

Additional information

The manuscript for this paper was submitted for review on September 1, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Choi, SU., Kwak, S. Theoretical and probabilistic analyses of incipient motion of sediment particles. KSCE J Civ Eng 5, 59–65 (2001). https://doi.org/10.1007/BF02830727

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02830727

Keywords

Navigation