Advertisement

Journal of Hydrodynamics

, Volume 30, Issue 6, pp 1045–1054 | Cite as

Sediment transport in pure acceleration-skewed oscillatory sheet flow

  • Xin Chen (陈鑫)
  • Fu-jun Wang (王福军)
  • Gen-fa Chen (陈根发)
  • Liu-chao Qiu (邱流潮)
Articles
  • 13 Downloads

Abstract

In the present study, an analytical concept model is built, using a two-phase model for the sediment transport in a pure acceleration-skewed oscillatory sheet flow. The analytical model is based on the asymmetric wave theory, the irregular boundary layer theory and the exponential concentration distribution theory, to be used for analyzing the phase lag and the boundary layer development related to the acceleration skewness. The two-phase model is applied for the calculations of the instantaneous erosion depth, the sediment flux, the boundary layer thickness and the sediment transport rate, as well as the differences between the positive acceleration stage and the negative acceleration stage caused by the acceleration skewness, as very important in the net current and sediment transport. The effects of the sediment diameter and the phase lag are explained by a comparison with the instantaneous type empirical formula, as is closely related to the acceleration skewness. With the analytical concept model and the two-phase model, the generation of the net sediment transport in the pure acceleration-skewed flows is clearly explained. The phase lag effect is important for the instantaneous sediment transport in the pure acceleration-skewed flow, whereas the boundary layer development difference between the positive acceleration stage and the negative acceleration stage plays a major role in the determination of the net sediment transport.

Key words

Acceleration skewness analytical concept model boundary layer thickness two-phase model sediment transport rate 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

Acknowledgement

This work was supported by the Open Research Fund Program of State Key Laboratory of Hydroscience and Engineering of China (Grant No. sklhse-2015-C-03).

References

  1. [1]
    Watanabe A., Sato S. A sheet-flow transport rate formula for asymmetric forward-leaning waves and currents [C]. Proceedings 29th International Conference on Coastal Engineering, Lisbon, Portugal, 2004, 1703–1714.Google Scholar
  2. [2]
    van der A Dominic A., O’Donoghue T., Ribberink J. S. Measurements of sheet flow transport in acceleration-skewed oscillatory flow and comparison with practical formulations [J]. Coastal Engineering, 2010, 57(3): 331–342.CrossRefGoogle Scholar
  3. [3]
    Dong L., Sato S., Liu H. A sheet flow sediment transport model for skewed-asymmetric waves combined with strong opposite currents [J]. Coastal Engineering, 2013, 71: 87–101.CrossRefGoogle Scholar
  4. [4]
    Ruessink B. G., Michallet H., Areu F. et al. Observations of velocities, sand concentrations, and fluxes under velocity-asymmetric oscillatory flows [J]. Journal of Geophysical Research, 2011, 116(C3): C03004.CrossRefGoogle Scholar
  5. [5]
    Chen X., Li Y., Chen G. et al. Instantaneous sediment transport model for asymmetric oscillatory sheet flow [J]. Plos One, 2017, 12(12): e0190034.CrossRefGoogle Scholar
  6. [6]
    Chen X., Wang F., Tang X. Analytical approach of sheet flow transport in purely acceleration-skewed oscillatory flow [J]. International Journal of Sediment Research, 2018, 33(3): 234–242.CrossRefGoogle Scholar
  7. [7]
    van der A Dominic A., O’Donoghue T., Davies A. G. Experimental study of the turbulent boundary layer in acceleration-skewed oscillatory flow [J]. Journal of Fluid Mechanics, 2011, 684: 251–283.CrossRefzbMATHGoogle Scholar
  8. [8]
    Suntoyo, Hitoshi T., Ahmad S. Characteristics of turbulent boundary layers over a rough bed under saw-tooth waves and its application to sediment transport [J]. Coastal Engineering, 2008, 55(12): 1102–1112.CrossRefGoogle Scholar
  9. [9]
    Yuan J., Madsen O. S. Experimental and theoretical study of wave–current turbulent boundary layers [J]. Journal of Fluid Mechanics, 2015, 765: 480–523.CrossRefGoogle Scholar
  10. [10]
    Nielsen P. Coastal bottom boundary layers and sediment transport [M]. Advanced Series on Ocean Engineering, vol. 4. Singapore: World Scientific, 1992, 41–52.Google Scholar
  11. [11]
    Drake T. G., Calantoni J. Discrete particle model for sheet flow sediment transport in the nearshore [J]. Journal of Geophysical Research, 2001, 106 (C9): 19859–19868.CrossRefGoogle Scholar
  12. [12]
    Hoefel F., Elgar S. Wave-induced sediment transport and sandbar migration [J]. Science, 2003, 299(5614): 1885–1887.CrossRefGoogle Scholar
  13. [13]
    Nielsen P. Sheet flow sediment transport under waves with acceleration skewness and boundary layer streaming [J]. Coastal Engineering, 2006, 53(9): 749–758.CrossRefGoogle Scholar
  14. [14]
    Gonzalez-Rodriguez D., Madsen O. S. Seabed shear stress and bedload transport due to asymmetric and skewed waves [J]. Coastal Engineering, 2007, 54(12): 914–929.CrossRefGoogle Scholar
  15. [15]
    van der A Dominic A. Ribberink J. S., Werf J. J. V. D. et al. Practical sand transport formula for non-breaking waves and currents [J]. Coastal Engineering, 2013, 76: 26–42.CrossRefGoogle Scholar
  16. [16]
    Puleo J. A., Lanckriet T., Blenkinsopp C. Bed level fluctuations in the inner surf and swash zone of a dissipative beach [J]. Marine Geology, 2014, 349(2): 99–112.CrossRefGoogle Scholar
  17. [17]
    Chen X., Yu X. A numerical study on oscillatory flow induced sediment motion over vortex ripples [J]. Journal of Physical Oceanography, 2015, 45(1): 228–246.CrossRefGoogle Scholar
  18. [18]
    Chen X., Li Y., Chen G. et al. Generation of net sediment transport by velocity skewness in oscillatory sheet flow [J]. Advances in Water Resources, 2018, 111: 395–405.CrossRefGoogle Scholar
  19. [19]
    Chen X., Wang F., Tang X. et al. Sediment flux based model of instantaneous sediment transport due to pure velocity-skewed oscillatory sheet flow with boundary layer stream [J]. Coastal Engineering, 2018, 138: 210–219.CrossRefGoogle Scholar
  20. [20]
    O’Donoghue T., Wright S. Flow tunnel measurements of velocities and sand flux in oscillatory sheet flow for well-sorted and graded sands [J]. Coastal Engineering, 2004, 51(11-12): 1163–1184.CrossRefGoogle Scholar
  21. [21]
    Chen X.., Zhang Z., Wang F. A numerical study for boundary layer current and sheet flow transport induced by a skewed asymmetric wave [J]. Acta Oceanologica Sinica, 2018, 37(9): 82–89.CrossRefGoogle Scholar
  22. [22]
    Chen X., Li Y., Wang F. Mobile bed thickness in skewed asymmetric oscillatory sheet flows [J]. Acta Mechanica Sinica, 2018, 34(2): 257–265.CrossRefGoogle Scholar

Copyright information

© China Ship Scientific Research Center 2018

Authors and Affiliations

  • Xin Chen (陈鑫)
    • 1
    • 2
  • Fu-jun Wang (王福军)
    • 1
    • 2
  • Gen-fa Chen (陈根发)
    • 3
  • Liu-chao Qiu (邱流潮)
    • 1
  1. 1.College of Water Resources and Civil EngineeringChina Agricultural UniversityBeijingChina
  2. 2.Beijing Engineering Research Center of Safety and Energy Saving Technology for Water Supply Network SystemChina Agricultural UniversityBeijingChina
  3. 3.China Institute of Water Resources and Hydropower ResearchBeijingChina

Personalised recommendations