Experimental study of the sedimentation of dilute and semi-dilute suspensions of fibres

Journal of Fluid Mechanics

Volumn 384, Issue , 1999, Pages 133-158

  Herzhaft, Benjamin ^a,b   Guazzelli, Élisabeth ^a,c  

^a CNRS   (France)

^b IFP ENERGIES NOUVELLES   (France)

^c AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; FIBERS; GRAVITATIONAL EFFECTS; HYDRODYNAMICS; PARTICLES (PARTICULATE MATTER); SEDIMENTATION; SEDIMENTS; VELOCITY; VOLUME FRACTION;

ORIENTATION DISTRIBUTIONS; PARTICLE SEPARATION; SEDIMENTING FIBRES; STEADY STATE VELOCITY; STOKES VELOCITY;

SUSPENSIONS (FLUIDS);

EID: 0032628149     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099004152     Document Type: Article

References (31)

1. ANSELMET, M.-C. 1989 Contribution à l'etude des systemes fluide-particuls : suspensions de cylindres, lits fluidisés. Thèses, Universitè de Provence.
2. BATCHELOR, G. K. 1970 Slender-body theory for particles of arbitrary cross-section in Stokes flow. J. Fluid Mech. 44, 419-440.
3. BATCHELOR, G. K. 1972 Sedimentation in a dilute dispersion of spheres. J. Fluid Mech. 123, 245-268.
4. BLANC, R. 1995 Order and disorder in fiber suspensions. In Mobile Particulate Systems (ed. E. Guazzelli & L. Oger), pp. 105-128. Kluwer.
5. CAFLICH, R. H. & LUKE, J. H. C. 1985 Variance in the sedimenting speed of a suspension. Phys. Fluids 28, 759-760.
6. CLAEYS, I. L. & BRADY, J. F. 1993 Suspensions of prolate spheroids in Stokes flow. Part 3. Hydordynamic transport properties of crystalline dispersions. J. Fluid Mech. 251, 479-500.
7. DAVIS, R. H. & Acrivos, A. 1985 Sedimentation of noncolloidal particles at low Reynolds number. Ann Rev. Fluid Mech. 17, 91-118.
8. HAM, J. M. & HOMSY, G. M. 1988 Hindered settling and hydrodynamic dispersion in quiescent sedimenting suspension. Intl J. Multphase Flow 14, 533-546.
9. HASIMOTO, H. 1959 On the periodic fundamental solutions of the Stokes equations and their application to a viscous flow past a cubic array of spheres. J. Fluid Mech. 5, 317-328.
10. HERZHAFT, B., GUAZZELLI, É, MACKAPLOW, M. B. & SHAQFEH, E. S. G. 1996 Experimental investigation of the sedimentation of a dilute fiber suspension. Phys. Rev. Lett. 77, 290-293.
11. HINCH, E. J. 1988 Sedimentation of small particles. In Disorder and Mixing (ed. E. Guyon, J.-P. Nadal & Y. Pomeau), pp. 153-161. Kluwer.
12. JEFFEUY, G. B. 1922 The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. Lond. A 102, 161-179.
13. KOCH, D. L. 1994 Hydrodrnamic diffusion in a suspension of sedimenting point particles with periodic boundary conditions. Phys. Fluids 6, 2894-2900.
14. KOCH, D. L. & SHAQFEH, E. S. G. 1989 The instability of a dispersion of sedimenting spheroids. J. Fluid Mech. 209, 521-541.
15. KOCH, D. L. & SHAQFEH, E. S. G. 1991 Screening in sedimenting suspensions. J. Fluid Mech. 224, 275-303.
16. KUMAR, P. & RAMARAO, B. V. 1991 Enhancement of the sedimentation rates in fibrous suspensions. Chem. Engng Commun. 108, 381-401.
17. LADD, A. J. C. 1997 Sedimentation of homogeneous suspensions of non-Brownian spheres. Phys. Fluids 9, 491-499.
18. MACKAPLOW, M. B. 1996 A study of the transport properties and sedimentation characteristics of fiber suspensions. Ph.D thesis, Stanford University.
19. MACKAPLOW, M. B. & SHAQFEH, E. S. G. 1998 A numerical study of the sedimentation of fibre suspensions. J. Fluid Mech. 376, 149-182.
20. NICOLAI, H. & GUAZZELLI, E. 1995 Effect of the vessel size on the hydrodynamic diffusion of sedimenting spheres. Phys. Fluids 7, 3-5.
21. NICOLAI, H., HERZHAFT, B., HINCH, E. J., OGER, L. & GUAZZELLI, E. 1995 Particle velocity fluctuations and hydrodynamic self-diffusion of sedimenting non-Brownian spheres. Phys. Fluids 7, 12-23.
22. RAHNAMA, M., KOCH, D. L. & SHAQFEH, E. S. G. 1995 The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow. Phys. Fluids 7, 487-506.
23. RICHARDSON, J. F. & ZAKI, W. N. 1954 Sedimentation and fluidization: Part I. Trans. Inst. Chem. Engrs 32, 35-53.
24. RUSSEL, W. B., HINCH, E. J., LEAL, L. G. & TIEFFENBRUCK, G. 1977 Rods falling near a vertical wall. J Fluid Mech. 83, 273-287.
25. SAFFMAN, P. G. 1973 On the settling speeds of free and fixed suspensions. Stud. Appl. Maths 52, 115-127.
26. SANGANI, A. S. & ACRIVOS, A. 1982 Slow flow through a periodic array of spheres. Intl J. Multiphase flow 8, 343-360.
27. SEGRÉ, P. N., HERBOLZHEIMER, E. & CHAIKIN, P. M. 1997 Long-range correlations in sedimentation. Phys. Rev. Lett. 79, 2574-2577.
28. SHAQFEH, E. S. G. & KOCH, D. L. 1988 The effect of hydrodynamic interactions on the orientation of asymmetric particles flowing through a fixed bed of spheres or fibers. Phys. Fluids 31, 728-743.
29. TURNEY, M. A., CHEUNG, M. K., MCCARTHY, M. J. & POWELL, R. L. 1995 Hindered settling of rod-like particles measured with magnetic resonance imaging. AIChE J. 41, 251-257.
30. XUE, J. Z., HERBOLZHEIMER, E., RUTGERS, M. A., RUSSEL, W. B. & CHAIKIN, P. M. 1992 Diffusion, dispersion and settling of hard spheres. Phys. Rev. Lett. 69, 1715-1718.
31. YOUNGREN, G. K & ACRIVOS, A. 1975 Stokes flow past a particle of arbitrary shape: a numerical method of solution. J Fluid Mech. 69, 377-403.