Drag and lift forces on random assemblies of wall-attached spheres in low-Reynolds-number shear flow

Journal of Fluid Mechanics

Volumn 673, Issue , 2011, Pages 548-573

  Derksen, J J ^a   Larsen, R A ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

particle fluid flow; sediment transport

Indexed keywords

DRAG; FLOW OF FLUIDS; NUMERICAL METHODS; REYNOLDS NUMBER; SEDIMENT TRANSPORT; SHEAR FLOW;

DRAG AND LIFT FORCES; INTERSTITIAL FLUID FLOW; LATTICE BOLTZMANN METHOD; LOW REYNOLDS NUMBER; PARTICLE/FLUID FLOWS; STREAMWISE DIRECTIONS; SURFACE COVERAGES; WALL-NORMAL DIRECTION;

SPHERES;

DRAG; NUMERICAL MODEL; REYNOLDS NUMBER; SEDIMENT TRANSPORT; SHEAR FLOW; SPHERE;

EID: 79956032675     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010006403     Document Type: Article

References (42)

1. Beetstra, R., Van der Hoef, M. A. & Kuipers, J. A. M. 2007 Drag force of intermediate Reynolds number flows past mono-and bidisperse arrays of spheres. Am. Inst. Chem. Engrs J. 53, 489-501. (Pubitemid 46226646)
2. Charru, F., Larrieu, E., Dupont, J.-B. & Zenit, F. 2007 Motion of a particle near a rough wall in a viscous shear flow. J. Fluid Mech. 570, 431-453. (Pubitemid 46040022)
3. 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. (Pubitemid 39622189)
4. Chen, S. & Doolen, G. D. 1998 Lattice-Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30, 329-364.
5. Cherakut, P. & McLaughlin, J. B. 1994 The inertial lift on a rigid sphere in a linear shear flow near a flat wall. J. Fluid Mech. 263, 1-18.
6. Cherakut, P., McLaughlin, J. B. & Dandy, D. S. 1999 A computational study of the inertial lift on a sphere in a linear shear flow field. Intl J. Multiphase Flow 25, 15-33. (Pubitemid 29365866)
7. Cox, R. G. & Hsu, S. K. 1977 The lateral migration of solid particles in a laminar flow near a plane. Intl J. Multiphase Flow 3, 201-222.
8. Derksen, J. J. 2008 Flow-induced forces in sphere doublets. J. Fluid Mech. 608, 337-356.
9. Derksen, J. J. 2009 Drag on random assemblies of spheres in shear-thinning and thixotropic liquids. Phys. Fluids 21, 083302-1-9.
10. Derksen, J. J. & Sundaresan, S. 2007 Direct numerical simulations of dense suspensions: wave instabilities in liquid-fluidized beds. J. Fluid Mech. 587, 303-336.
11. Derksen, J. & Van den Akker, H. E. A. 1999 Large-eddy simulations on the flow driven by a Rushton turbine. Am. Inst. Chem. Engrs J. 45, 209-221. (Pubitemid 29136606)
12. Duru, P. & Guazelli, E. 2002 Experimental investigations on the secondary instability of liquid-fluidized beds and the formation of bubbles. J. Fluid Mech. 470, 359-382. (Pubitemid 35274070)
13. Duru, P., Nicolas, M., Hinch, J. & Guazelli, E. 2002 Constitutive laws in liquid-fluidized beds. J. Fluid Mech. 452, 371-404.
14. Eggels, J. G. M. & Somers, J. A. 1995 Numerical simulation of free convective flow using the lattice-Boltzmann scheme. Intl J. Heat Fluid Flow 16, 357-364.
15. Goldstein, D., Handler, R. & Sirovich, L. 1993 Modeling a no-slip flow boundary with an external force field. J. Comput. Phys. 105, 354-366.
16. Hasimoto, H. 1959 On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres. J. Fluid Mech. 5, 317-328.
17. Hill, R. J., Koch, D. L. & Ladd, A. J. C. 2001 Moderate-Reynolds- number flows in ordered and random arrays of spheres. J. Fluid Mech. 448, 243-278. (Pubitemid 33087444)
18. Kandhai, D., Derksen, J. J. & Van den Akker, H. E. A. 2003 Interphase drag coefficients in gas-solid flows. Am. Inst. Chem. Engrs J. 49, 1060-1065. (Pubitemid 36504569)
19. King, M. R. & Leighton, D. T. 1997 Measurement of the inertial lift on a moving sphere in contact with a plane wall in a shear flow. Phys. Fluids 9, 1248-1255.
20. Krishnan, G. P. & Leighton, D. T. 1995 Inertial lift on a moving sphere in contact with a plane in a shear flow. Phys. Fluids 7, 2538-2545.
21. Ladd, A. J. C. 1994 Numerical simulations of particle suspensions via a discretized Boltzmann equation. Part I. Theoretical foundation. J. Fluid Mech. 271, 285-309.
22. Leighton, D. & Acrivos, A. 1985 The lift on a sphere touching a plane wall in the presence of a simple shear flow. J. Appl. Math. Phys. (Z. Angew. Math. Phys.) 36, 174-178.
23. Lobkovsky, A. E., Orpe, A. V., Molloy, R., Kudrolli, A. & Rothman, D. H. 2008 Erosion of a granular bed driven by laminar fluid flow. J. Fluid Mech. 605, 47-58. (Pubitemid 351766578)
24. McLaughlin, J. B. 1993 The lift on a small sphere in wall-bounded linear shear flows. J. Fluid Mech. 246, 249-265.
25. Mollinger, A. M. & Nieuwstadt, F. T. M. 1996 Measurement of the lift force on a particle fixed to the wall in a viscous sublayer of a fully developed turbulent boundary layer. J. Fluid Mech. 116, 285-306. (Pubitemid 126467722)
26. Mouilleron, H., Charru, F. & Eiff, O. 2009 Inside the moving layer of a sheared granular bed. J. Fluid Mech. 628, 229-239.
27. O'Neill, M. E. 1968 A sphere in contact with a plane wall in a slow linear shear flow. Chem. Engng Sci. 23, 1293-1298.
28. Ouriemi, M., Aussillous, P., Medale, M., Peysson, Y. & Guazzelli, E. 2007 Determination of the critical Shields number for particle erosion in laminar flow. Phys. Fluids 19, 061706-1-4.
29. Patankar, N. A., Huang, P. Y., Ko, T. & Joseph, D. D. 2001a Lift-off of a single particle in Newtonian and viscoelastic fluids by direct numerical simulation. J. Fluid Mech. 438, 67-100. (Pubitemid 32653251)
30. Patankar, N. A., Ko, T., Choi, H. G. & Joseph, D. D. 2001b A correlation for the lift-off of many particles in plane Poiseuille flows of Newtonian fluids. J. Fluid Mech. 445, 55-76. (Pubitemid 32984211)
31. Saffman, P. G. 1965 The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 385-400.
32. Saffman, P. G. 1968 Correction. J. Fluid Mech. 31, 624.
33. Sangani, A. S. & Acrivos, A. 1982 Slow flow through a periodic array of spheres. Intl J. Multiphase Flow 8, 343-360.
34. Somers, J. A. 1993 Direct simulation of fluid flow with cellular automata and the lattice-Boltzmann equation. Appl. Sci. Res. 51, 127-133.
35. Succi, S. 2001 The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. Clarendon.
36. Ten Cate, A., Derksen, J. J., Portela, L. M. & Van den Akker, H. E. A. 2004 Fully resolved simulations of colliding spheres in forced isotropic turbulence. J. Fluid Mech. 519, 233-271. (Pubitemid 39622195)
37. Ten Cate, A., Nieuwstad, C. H., Derksen, J. J. & Van den Akker H. E. A. 2002 PIV experiments and lattice-Boltzmann simulations on a single sphere settling under gravity. Phys. Fluids 14, 4012-4025. (Pubitemid 35389846)
38. Van der Hoef, M. A., Beetstra, R. & Kuipers, J. A. M. 2005 Lattice-Boltzmann simulations of low-Reynolds-number flow past mono-and bidisperse arrays of spheres: results for the permeability and drag force. J. Fluid Mech. 528, 233-254. (Pubitemid 40621584)
39. Vasseur, P. & Cox, R. G. 1976 The lateral migration of a spherical particle in two-dimensional shear flows. J. Fluid Mech. 78, 385-413.
40. Yin, X. & Sundaresan, S. 2009 Drag law for bidisperse gas-solid suspensions containing equally sized spheres. Ind. Engng Chem. Res. 48, 227-241.
41. Zeng, L., Balachandar, S. & Fischer P. 2005 Wall-induced forces on a rigid sphere at finite Reynolds number. J. Fluid Mech. 536, 1-25. (Pubitemid 41174781)
42. Zeng, L., Najjar, F., Balachandar, S. & Fischer P. 2009 Forces on a finite-sized particle located close to a wall in a linear shear flow. Phys. Fluids 21, 0333002-1-17.