Simulations of granular bed erosion due to laminar shear flow near the critical Shields number

Physics of Fluids

Volumn 23, Issue 11, 2011, Pages

  Derksen, J J ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; LAMINAR FLOW; NEWTONIAN LIQUIDS; PARTICLES (PARTICULATE MATTER); PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; SPHERES;

FLUID AND SOLIDS; HYDRODYNAMIC FORCES; INTERSTITIAL LIQUID; LAMINAR SHEAR FLOW; LATTICE BOLTZMANN METHOD; LIQUID DENSITY; PARAMETER RANGE; SPHERICAL PARTICLE;

SHEAR FLOW;

EID: 82855169600     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3660258     Document Type: Article

References (31)

1. Charru F. Mouilleron H. Eiff O. Erosion and deposition of particles on a bed sheared by a viscous flow. J. Fluid Mech. 2004, 519:55. 10.1017/S0022112004001028
2. Charru F. Larrieu E. Dupont J.-B. Zenit F. Motion of a particle near a rough wall in a viscous shear flow. J. Fluid Mech. 2007, 570:431. 10.1017/S0022112006003090
3. Lobkovsky A.E. Orpe A.V. Molloy R. Kudrolli A. Rothman D.H. Erosion of a granular bed driven by laminar fluid flow. J. Fluid Mech. 2008, 605:47. 10.1017/S0022112008001389
4. Mouilleron H. Charru F. Eiff O. Inside the moving layer of a sheared granular bed. J. Fluid Mech. 2009, 628:229. 10.1017/S0022112009006636
5. Ouriemi M. Aussillous P. Medale M. Peysson Y. Guazzelli E. Determination of the critical Shields number for particle erosion in laminar flow. Phys. Fluids 2007, 19:061706. 10.1063/1.2747677
6. Loiseleux T. Gondret P. Rabaud M. Doppler D. Onset of erosion and avalanche for an inclined granular bed sheared by a continuous laminar flow. Phys. Fluids 2005, 17:103304. 10.1063/1.2109747
7. Buffington J.M. Montgomery D.R. A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers. Water Resour. Res. 1997, 33:1993. 10.1029/96WR03190 doi:10.1029/96WR03190.
8. Paphitis D. Sediment movement under unidirectional flows: An assessment of empirical threshold curves. Coastal Eng. 2001, 43:227. 10.1016/S0378-3839(01)00015-1
9. Leighton D. Acrivos A. The lift on a sphere touching a plane wall in the presence of a simple shear flow. J. Appl. Math. Phys. 1985, 36:174. 10.1007/BF00949042
10. Derksen J.J. Larsen R.A. Drag and lift forces on random assemblies of wall-attached spheres in low-Reynolds number shear flow. J. Fluid Mech. 2011, 673:548. 10.1017/S0022112010006403
11. Chen S. Doolen G.D. Lattice-Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 1998, 30:329. 10.1146/annurev.fluid.30.1.329
12. Succi S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond 2001, (Clarondon, Oxford).
13. Goldstein D. Handler R. Sirovich L. Modeling a no-slip flow boundary with an external force field. J. Comp. Physiol. 1993, 105:354.
14. Derksen J. Van den Akker H.E. A. Large-eddy simulations on the flow driven by a Rushton turbine. AIChE J. 1999, 45:209. 10.1002/aic.v45:2
15. Papista E. Dimitrakis D. Yiantsios S.G. Direct numerical simulation of incipient sediment motion and hydraulic conveying. Ind. Eng. Chem. Res. 2011, 50:630. 10.1021/ie1000828
16. Kim S. Karrila S.J. Microhydrodynamics: Principles and Selected Applications 1991, and (Butterworth-Heinemann, Boston).
17. Yamamoto Y. Potthoff M. Tanaka T. Kajishima T. Tsuji Y. Large-eddy simulation of turbulent gas-particle flow in a vertical channel: effect of considering inter-particle collisions. J. Fluid Mech. 2001, 442:303. 10.1017/S0022112001005092
18. Derksen J.J. Sundaresan S. Direct numerical simulations of dense suspensions: Wave instabilities in liquid-fluidized beds. J. Fluid Mech. 2007, 587:303. 10.1017/S0022112007007094
19. Somers J.A. Direct simulation of fluid flow with cellular automata and the lattice-Boltzmann equation. Appl. Sci. Res. 1993, 51:127. 10.1007/BF01082526
20. Eggels J.G. M. Somers J.A. Numerical simulation of free convective flow using the lattice-Boltzmann scheme. Int. J. Heat Fluid Flow 1995, 16:357. 10.1016/0142-727X(95)00052-R
21. Ten Cate A. Nieuwstad C.H. Derksen J.J. Van den Akker H.E. A. PIV experiments and lattice-Boltzmann simulations on a single sphere settling under gravity. Phys. Fluids 2002, 14:4012. 10.1063/1.1512918
22. Duru P. Nicolas M. Hinch J. Guazelli E. Constitutive laws in liquid-fluidized beds. J. Fluid Mech. 2002, 452:371. 10.1017/S0022112001007017
23. Duru P. Guazelli E. Experimental investigations on the secondary instability of liquid-fluidized beds and the formation of bubbles. J. Fluid Mech. 2002, 470:359. 10.1017/S0022112002002100
24. Ladd A.J. C. Numerical simulations of particle suspensions via a discretized Boltzmann equation. Part 2. Numerical results. J. Fluid Mech. 1994, 271:311. 10.1017/S0022112094001783
25. Sangani A.S. Acrivos A. Slow flow through a periodic array of spheres. Int. J. Multiphase Flow 1982, 8:343. 10.1016/0301-9322(82)90047-7
26. Hasimoto H. On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres. J. Fluid Mech. 1959, 5:317. 10.1017/S0022112059000222
27. Derksen J.J. Flow-induced forces in sphere doublets. J. Fluid Mech. 2008, 608:337. 10.1017/S0022112008002309
28. Derksen J.J. Drag on random assemblies of spheres in shear-thinning and thixotropic liquids. Phys. Fluids 2009, 21:083302. 10.1063/1.3200946
29. Nguyen N.-Q. Ladd A.J. C. Lubrication corrections for lattice-Boltzmann simulations of particle suspensions. Phys. Rev. E 2002, 66:046708. 10.1103/PhysRevE.66.046708
30. Bagnold R.A. The flow of cohensionless grains in fluids. Philos. Trans. R. Soc. London, Ser. A 1956, 249:235. 10.1098/rsta.1956.0020
31. White S.J. Plane bed thresholds of fine grained sediment. Nature 1970, 228:152. 10.1038/228152a0