Erosion of a granular bed driven by laminar fluid flow

Journal of Fluid Mechanics

Volumn 605, Issue , 2008, Pages 47-58

  Lobkovsky, Alexander E ^a   Orpe, Ashish V ^b   Molloy, Ryan ^b   Kudrolli, Arshad ^b   Rothman, Daniel H ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b CLARK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; HYDROSTATIC PRESSURE; LAMINAR FLOW; REFRACTIVE INDEX; SAND;

GRANULAR FLOW; HYDRODYNAMIC STRESS; LASER SHEET; SHIELDS CRITERION;

EROSION;

EROSION; HYDRODYNAMICS; HYDROSTATIC PRESSURE; LAMINAR FLOW; REFRACTIVE INDEX; SAND;

EROSION; FLUID FLOW; GRANULAR MEDIUM; HYDRODYNAMICS; HYDROSTATIC PRESSURE; LAMINAR FLOW; REFRACTIVE INDEX;

EID: 44449084469     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008001389     Document Type: Article

References (39)

1. BAILARD, J. A. 1981 An energetics total load sediment transport model for a plane sloping beach. J. Geophys. Res.-Oceans Atmos. 86 (NC11), 938-954.
2. BEAVERS, G. S. & JOSEPH, D. S. 1967 Boundary conditions near a permeable wall. J. Fluid Mech. 30, 197-207.
3. BLUM, M. D. & TORNQVIST, T. E. 2000 Fluvial response to climate and sea-level change: A review and look forward. Sedimentology 47, 2-48.
4. BONAMY, D., DAVIAUD, F., LAURENT, L., BONETTI, M. & BOUCHAUD, J. P. 2002 Multiscale clustering in granular surface flows. Phys. Rev. Lett. 89, 034301.
5. BRINKMAN., H. C. 1949 A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl. Sci. Res. A 1, 27-34.
6. BUFFINGTON, J. M. & MONTGOMERY, D. R. 1997 A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers. Water Resour. Res. 33, 1993-2029.
7. BURBANK, D. W., LELAND, J., FIELDING, E., ANDERSON, R. S., BROZOVIC, N., REID, M. R. & DUNCAN, C. 1996 Bedrock incision, rock uplift and threshold hillslopes in the northwestern Himalayas. Nature 379 505-510.
8. CHARRU, F., MOUILLERON, H. & EIFF, O. 2004 Erosion and deposition of particles on a bed sheared by a viscous flow. J. Fluid Mech. 519, 55-80.
9. CORNISH, R. J. 1928 Flow in a pipe of rectangular cross-section. Proc. R. Soc. Lond. A 120, 691-700.
10. DANCEY, C. L., DIPLAS, P., PAPANICOLAOU, A. & BALA, M. 2002 Probability of individual grain movement nnd threshold condition. J. Hydraul. Engng ASCE 128 1069-1075.
11. DOUADY, S., ANDREOTTI, B., DAERR, A. & CLADE, P. 2002 From a grain to avalanches: On the physics of granular surface flows. C. R. Phys. 3, 177-186.
12. EINSTEIN, H. A. 1950 The bed-load function for sediment transportation in open channel flows. Tech. Bull. 1026. United States Department of Agriculture, Washington.
13. GOHARZADEH, A., KHALILI, A. & JORGENSEN, B. B. 2005 Transition layer thickness at a fluid-porous interface. Phys. Fluids 17 057102.
14. GRAF, W. H. 1971 Hydraulics of Sediment Transport. McGraw-Hill.
15. GRAF, W. H. & PAZIS, G. C. 1977 Deposition and erosion in an alluvial channel. J. Hydraul. Res. 15, 151-165.
16. GRASS, A. J. 1971 Structural features of turbulent flow over smooth and rough boundaries. J. Fluid Mech. 50, 233-255.
17. HOWARD, A. D. 1994 A detachment-limited model of drainage-basin evolution. Water Resour. Res. 30, 2261-2285.
18. JAEGER, H. M., LIU, C. & NAGEL, S. R. 1989 Relaxation at the angle of repose. Phys. Rev. Lett. 62, 40-43.
19. JIMENEZ, J. 2004 Turbulent flows over rough wall, Annu. Rev. Fluid Mech. 36, 173-196.
20. KENYON, P. M. & TURCOTTE, D. L. 1985 Morphology of a delta prograding by bulk sediment transport. Geol. Soc. Am. Bull. 96 1457-1465.
21. KOMAR, P. D. 1998 Beach Processes and Sedimentation. Prentice-Hall.
22. MEYER-PETER, E. & MÜLLER, R. 1948 Formulas for bed-load transport. In Proc. 2nd Meeting of the Int. Assoc. for Hydraulic Structures Res. pp. 39-64. Intl Assoc. Hydraul. Res., Delft, the Netherlands.
23. MILLER, M. C., MCCAVE, I. N. & KOMAR, P. D. 1977 Threshold of sediment motion under unidirectional currents. Sedimentology 24 507-527.
24. MURRAY, A. B. & PAOLA, C. 1994 A cellular-model of braided rivers. Nature 371, 54-57.
25. NEILL, C. R. & YALIN, M. S. 1969 Quantitative definition of beginning of bed movement. J. Hydraul. Div. ASCE 95, 585-588.
26. PAPANICOLAOU, A. N., DIPLAS, P., DANCEY, C. L. & BALAKRISHNAN, M. 2001 Surface roughness effects in near-bed turbulence: Implications to sediment entrainment. J. Engng Mech. ASCE 127, 211-218.
27. PAPHITIS, D. 2001 Sediment movement under unidirectional flows: An assessment of empirical threshold curves. Coastal Engng 43, 227-245.
28. PAPHITIS, D. & COLLINS, M. B. 2005 Sand grain threshold, in relation to bed 'stress history': An experimental study. Sedimentology 52, 827-838.
29. PARKER, G., PAOLA, C, WHIPPLE, K. X. & MOHRIG, D. 1998 Alluvial fans formed by channelized fluvial and sheet flow. i: Theory. J. Hydraul. Engng ASCE 124, 985-995.
30. QUARTIER, L., ANTDREOTTI, B., DOUADY, S. & DAERR, A. 2000 Dynamics of a grain on a sandpile model. Phys. Rev. E 62, 8299-8307.
31. VAN RIJN., L. C. 1989 Handbook of sediment transport by currents and waves. Report H 461. Delft Hydraulics, Delft, Netherlands.
32. SAMSON, L., IPPOLITO, I., BIDEAU, D. & BARTOUNI, G. G. 1999 Motion of grains down a bumpy surface. Chaos 9, 639-648.
33. SHIELDS, A. 1936 Anwendung der Ähnlichkeitsmechanik und der Turbulenzforschung auf die Geschiebebewegung. Tech. Rep. Heft 26. Mitteilung der Preussischen Versuchsanstalt für Wasserbau und Schiffbau, Berlin, Germany.
34. SHVIDCHENKO, A. B. & PENDER, G. 2000 Flume study of the effect of relative depth on the incipient motion of uniform sediments. Water Resour. Res. 36, 619-628.
35. SIAVOSHI, S., ORPE, A. V. & KUDROLLI, A. 2006 Friction of a slider on a granular layer: Nonmonotonic thickness dependence and effect of boundary. Phys. Rev. E 73, 010301.
36. TSAI, J.-C., VOTH, G. A. & GOLLUB, J. P. 2003 Internal granular dynamics, shear-induced crystallization, and compaction steps. Phys. Rev. Lett. 91, 64301.
37. VANONI, V. A. 1964 Measurements of critical shear stress for entraining fine sediments in a boundary layer. Tech. Rep. KH-R-7. W. M. Keck Lab. of Hydraulics and Water Resourses, Cal. Inst. Tech.
38. WONG, M. & PARKER, G. 2006 Reanalysis and correction of bed-load relation of Meyer-Peter and Müller using their own database. J. Hydraul. Engng ASCE 132, 1159-1168.
39. YALIN, M. S. 1977 Mechanics of Sediment Transport, 2nd edn. Pergamon.