Ripple formation on a particle bed sheared by a viscous liquid. Part 1. Steady flow

Journal of Fluid Mechanics

Volumn 550, Issue , 2006, Pages 111-121

  Charru, F ^a   Hinch, E J ^b  

^a IMFT   (France)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; EROSION; MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER); SHEAR STRESS; VISCOSITY; VISCOUS FLOW;

FLUID INERTIA; PARTICLE BED; PARTICLE FLUX; RIPPLE FORMATION; VISCOUS LIQUID;

STEADY FLOW;

ALGEBRA; EROSION; MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER); SHEAR STRESS; STEADY FLOW; VISCOSITY; VISCOUS FLOW;

RIPPLE; STEADY FLOW; VISCOUS FLOW;

EID: 33645831798     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200500786X     Document Type: Article

References (19)

1. Bagnold, R. A. 1973 The nature of saltation and of "bed-load" transport in water. Proc. R. Soc. Lond. A 332, 473-504.
2. Betat, A., Frette, V. & Rehberg, I. 1999 Sand ripples induced by water shear flow in an annular channel. Phys. Rev. Lett. 83, 88-91.
3. Benjamin, T. B. 1959 Shearing flow over a wavy boundary. J. Fluid Mech. 6, 161-205.
4. Charru, F. & Hinch, E. J. 2000 'Phase diagram' of interfacial instabilities in a two-layer Couette flow and mechanism for the long-wave instability. J. Fluid Mech. 414, 195-223.
5. Charru, F. & Hinch, E. J. 2006 Ripple formation on a particle bed sheared by a viscous liquid. Part 2. Oscillating flow. J. Fluid Mech. 550, 123-137.
6. Charru, F. & Mouilleron-Arnould, H. 2002 Instability of a bed of particles sheared by a viscous flow. J. Fluid Mech. 452, 303-323.
7. Charru, F., Mouilleron-Arnould, H. & Eiff, O. 2004 Erosion and deposition of particles on a bed sheared by a viscous flow. J. Fluid Mech. 519, 55-80.
8. Coleman, S. E. & Eling, B. 2000 Sand wavelets in laminar open-channel flows. J. Hydraul. Res. 38, 331-338.
9. Colombini, M. 2004 Revisiting the linear theory of sand dune formation. J. Fluid Mech. 502, 1-16.
10. Kennedy, J. F. 1963 The mechanics of dunes and antidunes in erodible-bed channels. J. Fluid Mech 16, 521-544.
11. Leighton, D. & Acrivos, A. 1986 Viscous resuspension. Chem. Engng Sci. 41, 1377-1384.
12. Mouilleron, H. 2002 Instabilités d'un milieu granulaire cisaillé par un fluide. Thèse de Doctorat, Université Paul Sabatier, Toulouse, France.
13. Raudkivi, A. J. 1997 Ripples on stream bed. J. Hydraul. Engng 123, 58-64.
14. Raudkivi, A. J. 1998 Loose Boundary Hydraulics. A. A. Balkema, Rotterdam.
15. Richards, K. J. 1980 The formation of ripples and dunes on an erodible bed. J. Fluid Mech. 99, 597-618.
16. van Rijn, L. C. 1984 Sediment transport, part I: Bed load transport. J. Hydraul. Engng 110, 1431-1456.
17. Soulsby, R. L. & Whitehouse, R. J. S. 1997 Threshold of sediment motion in coastal environments. In Proc. Australasian Coastal Engng and Ports Conf., Christchurch, pp. 149-154.
18. Sumer, B. M. & Bakioglu, M. 1984 On the formation of ripples on an erodible bed. J. Fluid Mech. 144, 177-190.
19. Yalin, M. S. 1985 On the determination of ripple geometry. J. Hydraul. Engng 111, 1148-1155.