Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Determining the onset of hydrodynamic erosion in turbulent flow

J. C. Salevan1, Abram H. Clark2,1, Mark D. Shattuck3,1, Corey S. O'Hern1,4,5, and Nicholas T. Ouellette6

  • 1Department of Mechanical Engineering and Materials Science, Yale University, New Haven, Connecticut 06520, USA
  • 2Department of Physics, Naval Postgraduate School, Monterey, California 93943, USA
  • 3Benjamin Levich Institute and Physics Department, The City College of the City University of New York, New York, New York 10031, USA
  • 4Department of Physics, Yale University, New Haven, Connecticut 06520, USA
  • 5Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
  • 6Department of Civil and Environmental Engineering, Stanford University, Stanford, California 94305, USA

Phys. Rev. Fluids 2, 114302 – Published 20 November, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.114302

Abstract

We revisit the longstanding question of the onset of sediment transport driven by a turbulent fluid flow via laboratory measurements. We use particle-tracking velocimetry to quantify the fluid flow as well as the motion of individual grains. As we increase the flow speed above the threshold for sediment transport, we observe that an increasing fraction of grains is transported downstream, although the average downstream velocity of the transported grains remains roughly constant. However, we find that the fraction of mobilized grains does not vanish sharply at a critical flow rate. Additionally, the distribution of the fluctuating velocities of nontransported grains becomes broader with heavier tails, meaning that unambiguously separating mobile and static grains is not possible. As an alternative approach, we quantify the statistics of grain velocities by using a mixture model consisting of two forms for the grain velocities: a decaying-exponential tail, which represents grains transported downstream, and a peaked distribution centered at zero velocity, which represents grains that fluctuate due to the turbulent flow but remain in place. Our results suggest that more sophisticated statistical measures may be required to quantify grain motion near the onset of sediment transport, particularly in the presence of turbulence.

Physics Subject Headings (PhySH)

Article Text

References (31)

  1. W. G. Knisel, Creams: A field-scale model for chemicals, runoff and erosion from agricultural management systems, USDA Conservation Research Report No. 26, 1980 (unpublished).
  2. K. G. Renard, G. R. Foster, G. A. Weesies, D. K. McCool, and D. C. Yoder, Predicting Soil Erosion by Water: A Guide to Conservation Planning with the Revised Universal Soil Loss Equation (RUSLE) (United States Department of Agriculture, Washington, DC, 1997), Vol. 703.
  3. D. J Jerolmack and C. Paola, Shredding of environmental signals by sediment transport, Geophys. Res. Lett. 37, L19401 (2010).
  4. J. M. Buffington and D. R. Montgomery, A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers, Water Resour. Res. 33, 1993 (1997).
  5. A. Shields, Mitteilungen der Preußischen Versuchsanstalt für Wasserbau und Schiffbau Report No. 26, 1936 (unpublished).
  6. M. Ouriemi, P. Aussillous, M. Medale, Y. Peysson, and E. Guazzelli, Determination of the critical shields number for particle erosion in laminar flow, Phys. Fluids 19, 061706 (2007).
  7. E. Lajeunesse, L. Malverti, and F. Charru, Bed load transport in turbulent flow at the grain scale: Experiments and modeling, J. Geophys. Res. Earth Surf. 115, F04001 (2010).
  8. P. L. Wiberg and J. D. Smith, Calculations of the critical shear stress for motion of uniform and heterogeneous sediments, Water Resour. Res. 23, 1471 (1987).
  9. A. Kudrolli, D. Scheff, and B. Allen, Critical shear rate and torque stability condition for a particle resting on a surface in a fluid flow, J. Fluid Mech. 808, 397 (2016).
  10. A. H. Clark, M. D. Shattuck, N. T. Ouellette, and C. S. O'Hern, Onset and cessation of motion in hydrodynamically sheared granular beds, Phys. Rev. E 92, 042202 (2015).
  11. A. H. Clark, M. D. Shattuck, N. T. Ouellette, and C. S. O'Hern, Role of grain dynamics in determining the onset of sediment transport, Phys. Rev. Fluids 2, 034305 (2017).
  12. D. Paphitis, Sediment movement under unidirectional flows: An assessment of empirical threshold curves, Coast. Eng. 43, 227 (2001).
  13. M. Houssais, C. P. Ortiz, D. J. Durian, and D. J. Jerolmack, Onset of sediment transport is a continuous transition driven by fluid shear and granular creep, Nat. Commun. 6, 6527 (2015).
  14. A. E. Lobkovsky, A. V. Orpe, R. Molloy, A. Kudrolli, and D. H. Rothman, Erosion of a granular bed driven by laminar fluid flow, J. Fluid Mech. 605, 47 (2008).
  15. A. Hong, M. Tao, and A. Kudrolli, Onset of erosion of a granular bed in a channel driven by fluid flow, Phys. Fluids 27, 013301 (2015).
  16. J. W. Kirchner, W. E. Dietrich, F. Iseya, and H. Ikeda, The variability of critical shear stress, friction angle, and grain protrusion in water-worked sediments, Sedimentology 37, 647 (1990).
  17. A. D. Heathershaw and P. D. Thorne, Sea-bed noises reveal role of turbulent bursting phenomenon in sediment transport by tidal currents, Nature (London) 316, 339 (1985).
  18. I. Nezu, H. Nakagawa, and G. H. Jirka, Turbulence in open-channel flows, J. Hydraul. Eng. 120, 1235 (1994).
  19. O. Durán, B. Andreotti, and P. Claudin, Numerical simulation of turbulent sediment transport, from bed load to saltation, Phys. Fluids 24, 103306 (2012).
  20. M. S. Yalin, River Mechanics (Elsevier, Amsterdam, 2015).
  21. P. Diplas, C. L. Dancey, A. O. Celik, M. Valyrakis, K. Greer, and T. Akar, The role of impulse on the initiation of particle movement under turbulent flow conditions, Science 322, 717 (2008).
  22. H. Lee, M. Y. Ha, and S. Balachandar, Work-based criterion for particle motion and implication for turbulent bed-load transport, Phys. Fluids 24, 116604 (2012).
  23. F. Charru, H. Mouilleron, and O. Eiff, Erosion and deposition of particles on a bed sheared by a viscous flow, J. Fluid Mech. 519, 55 (2004).
  24. N. T. Ouellette, H. Xu, and E. Bodenschatz, A quantitative study of three-dimensional Lagrangian particle tracking algorithms, Exp. Fluids 40, 301 (2006).
  25. N. Mordant, A. M. Crawford, and E. Bodenschatz, Experimental Lagrangian probability density function measurement, Physica D 193, 245 (2004).
  26. E. Rodríguez-López, P. J. K. Bruce, and O. R. H. Buxton, A robust post-processing method to determine skin friction in turbulent boundary layers from the velocity profile, Exp. Fluids 56, 6 (2015).
  27. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, 2000).
  28. J. C. Roseberry, M. W. Schmeeckle, and D. J. Furbish, A probabilistic description of the bed load sediment flux: 2. Particle activity and motions, J. Geophys. Res. Earth Surf. 117, F03032 (2012).
  29. C. González, D. H. Richter, D. Bolster, S. Bateman, J. Calantoni, and C. Escauriaza, Characterization of bedload intermittency near the threshold of motion using a Lagrangian sediment transport model, Environ. Fluid Mech. 17, 111 (2017).
  30. D. J. Furbish and M. W. Schmeeckle, A probabilistic derivation of the exponential-like distribution of bed load particle velocities, Water Resour. Res. 49, 1537 (2013).
  31. S. L. Fathel, D. J. Furbish, and M. W. Schmeeckle, Experimental evidence of statistical ensemble behavior in bed load sediment transport, J. Geophys. Res. Earth Surf. 120, 2298 (2015).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation