The hydrodynamics of confined dispersions

Journal of Fluid Mechanics

Volumn 687, Issue , 2011, Pages 254-299

  Swan, James W ^a,b   Brady, John F ^a  

^a California Institute of Technology   (United States)

^b University of Delaware   (United States)

Author keywords

colloids; computational methods; Stokesian dynamics

Indexed keywords

BODY FLUIDS; COLLOIDS; COMPUTATIONAL METHODS; HYDRODYNAMICS; REYNOLDS NUMBER; SOLS;

COLLOIDAL DISPERSION; HIGH FREQUENCY DYNAMICS; HYDRODYNAMIC FORCES; INCOMPRESSIBLE FLUID; LOW REYNOLDS NUMBER; SEDIMENTATION RATES; STOKESIAN DYNAMICS; SUSPENSION DYNAMICS;

SUSPENSIONS (FLUIDS);

COLLOID; DISPERSION; HYDRODYNAMICS; NUMERICAL METHOD; PARTICLE MOTION; REYNOLDS NUMBER; VISCOSITY;

EID: 84855500167     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.351     Document Type: Article

References (56)

1. ALI, I., MARENDUZZO, D. & YEOMANS, J. M. 2004 Dynamics of polymer packaging. J. Chem. Phys. 121 (17), 8635-8642.
2. ALLEN, M. P. & TILDESLEY, D. J. 1989 Computer Simulation of Liquids. Oxford University Press.
3. ASHTON, R., PADALA, C. & KANE, R. S. 2003 Microfluidic separation of DNA. Current Opinions in Biotechnology 14 (5), 497-504. (Pubitemid 37298034)
4. BEENAKKER, C. W. J. 1986 Ewald sum of the Rotne-Prager tensor. J. Chem. Phys. 85 (3), 1581-1582.
5. BHATTACHARYA, S. 2008 Cooperative motion of spheres arranged in periodic grids between two walls. J. Chem. Phys. 128, 074709.
6. BHATTACHARYA, S. & BLAWZDZIEWICZ, J. 2002 Image system for Stokes-flow singularity between two parallel planar walls. J. Math. Phys. 43 (11), 5720-5731.
7. BHATTACHARYA, S., BLAWZDZIEWICZ, J. & WAJNRYB, E. 2005 Hydrodynamic interactions of spherical particles in suspensions confined between two planar walls. J. Fluid Mech. 541, 263-292. (Pubitemid 41581904)
8. BLAKE, J. R. 1971 A note on the image system for a Stokeslet in a no-slip boundary. Proc. Camb. Phil. Soc. 70, 303-310.
9. BOSSIS, G., MEUNIER, A. & SHERWOOD, J. D. 1991 Stokesian dynamics simulations of particle trajectoriers near a plane. Phys. Fluids A 3 (8), 1853-1858.
10. BRADY, J. F. & BOSSIS, G. 1988 Stokesian dynamics. Annu. Rev. Fluid Mech. 20, 111-157.
11. BRADY, J. F, PHILLIPS, R. J., LESTER, J. C. & BOSSIS, G. 1988 Dynamic simulation of hydrodynamically interacting suspensions. J. Fluid Mech. 195, 257-280.
12. BUTLER, J. E. & BONNECAZE, R. T. 1999 Imaging of particle shear migration with electrical impedance tomography. Phys. Fluids 11 (8), 1982.
13. CICHOCKI, B., JONES, R. B., KUTTEH, R. & WAJNRYB, E. 2000 Friction and mobility for colloidal spheres in Stokes flow near a boundary: the multipole method and applications. J. Chem. Phys. 112 (5), 2548-2561.
14. 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 (3), 201-222.
15. COX, R. G. & MASON, S. G. 1971 Suspended particles in fluid flow through tubes. Annu. Rev. Fluid Mech. 3, 291-316.
16. DANIELS, B. R., MASI, B. C. & WIRTZ, D 2006 Probing single-cell micromechanics in vivo: the microrheology of C. Elegans developing embryos. Biophys. J. 90 (12), 4712-4719. (Pubitemid 43830915)
17. DARDEN, T., YORK, D. & PEDERSEN, L. 1993 Particle mesh Ewald: an Nlog.N/method for Ewald sums in large systems. J. Chem. Phys. 98 (12), 10089-10093.
18. DONEV, A., STILLINGER, F. H. & TORQUATO, S. 2005 Neighbor list collision-driven molecular dynamics simulation for non-spherical particles. I. Algorithmic details II. Applications to ellipses and ellipsoids. J. Comput. Phys. 202 (2), 737-793.
19. DUFRESNE, E. R., ALTMAN, D. & GRIER, D. G. 2001 Brownian dynamics of a sphere between parallel walls. Europhys. Lett. 53 (2), 264-270.
20. DURLOFSKY, L. J. & BRADY, J. F. 1989 Dynamic simulation of bounded suspensions of hydrodynamically interacting particles. J. Fluid Mech. 200, 39-67.
21. FAX́E N, H. 1921 Dissertations, Uppsala University. Ark. Mat. Astron. Fys. 17, 27.
22. FRANK, M., ANDERSON, D., WEEKS, E. R. & MORRIS, J. F. 2003 Particle migration in pressure-driven flow of a Brownian suspension. J. Fluid Mech. 493, 363-378. (Pubitemid 37396114)
23. FRENKEL, D. & SMIT, B. 2001 Understanding Molecular Simulations, 2nd edn. Academic Press.
24. DE GENNES, P. G. 1979 Conjectures on the transition from Poiseuille to plug flow in suspensions. J. Phys. 40 (8), 783-787. (Pubitemid 10436022)
25. GLENDINNING, A. B. & RUSSEL, W. B. 1982 A pairwise additive description of sedimentation and diffusion in concentrated suspensions of hard spheres. J. Colloid Interface Sci. 89 (1), 123-143.
26. GOLDSMITH, H. L. & MASON, S. G. 1962 The of suspensions through tubes. I. Single spheres, rods and discs. J. Colloid Sci. 17 (5), 448-476.
27. GREGORY, J. 1981 Flocculation in laminar tube flow. Chem. Engng Sci. 36 (11), 1789-1794. (Pubitemid 11018369)
28. GUTH, E. & SIMHA, R. 1936 Untersuchungen ̈uber die viskosiẗat von suspensionen und l̈osungen. 3. Ü ber die viskosität von kugelsuspensionen. Colloid Polym. Sci. 74 (3), 266.
29. HAPPEL, J. & BRENNER, H. 1986 Low Reynolds Number Hydrodynamics, 2nd edn. Prentice-Hall.
30. 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 (2), 317-328.
31. HERŃA NDEZ-ORTIZ, J. P., DE PABLO, J. J. & GRAHAM, M. D. 2007 Fast computation of many-particle hydrodynamic and electrostatic interactions in a confined geometry. Phys. Rev. Lett. 98 (14), 140602.
32. HOCKNEY, R. W. & EASTWOOD, J. W. 1989 Computer Simulation Using Particles. Taylor and Francis.
33. JONES, R. B. 2004 Spherical particle in Poiseuille flow between planar walls. J. Chem. Phys. 121, 483-500.
34. KARNIS, A., GOLDSMITH, H. L. & MASON, S. G. 1966 The kinetics of flowing dispersions: I. Concentrated suspensions of rigid particles. J. Colloid Interface Sci. 22 (6), 521-553.
35. KIM, S. & KARRILA, S. J. 2005 Microhydrodynamics, 2nd edn. Dover Publications.
36. KOH, C. J., HOOKHAM, P. & LEAL, L. G. 1994 An experimental investigation of concentrated suspension flows in a rectangular channel. J. Fluid Mech. 266, 1-32. (Pubitemid 293385)
37. LADYZHENSKAYA, O. A. 1963 The Mathematical Theory of Viscous Incompressible Flow. Gordon and Breach.
38. LEE, S. H., CHADWICK, R. S. & LEAL, L. G. 1979 Motion of a sphere in the presence of a plane interface. Part 1: an approximate solution by generalization of the method of Lorentz. J. Fluid Mech. 93 (4), 705-726. (Pubitemid 10408407)
39. LEIGHTON, D. T. & ACRIVOS, A. 1987 Measurement of shear-induced self-diffusion in concentrated suspensions of spheres. J. Fluid Mech. 177, 109-131. (Pubitemid 17583595)
40. LIRON, N. 1984 Stokeslet arrays in a pipe and their application to ciliary transport. J. Fluid Mech. 143, 173-195. (Pubitemid 15437085)
41. LIRON, N. & MOCHON, S. 1976 Stokes flow for a Stokeslet between two parallel flat plates. J. Engng Maths 10, 287-303.
42. LYON, M. K. & LEAL, L. G. 1998 An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. J. Fluid Mech. 363, 25-56. (Pubitemid 128488619)
43. MARCUS, A. H., LIN, B. & RICE, S. A. 1996 Self-diffusion in quasi-two-dimension hard sphere suspensions. Phys. Rev. E 53 (2), 1765-1776.
44. NORMAN, J. T., NAYAK, H. V. & BONNECAZE, R. T. 2005 Migration of buoyant particles in low-Reynolds-number pressure driven flows. J. Fluid Mech. 523, 1-35. (Pubitemid 40252430)
45. NOTT, P. R. & BRADY, J. F. 1994 Pressure driven flow of suspensions: simulation and theory. J. Fluid Mech. 275, 157-199. (Pubitemid 283930)
46. O'NEILL, M. E. & STEWARTSON, K. 1967 On the slow motion of a sphere parallel to a nearby plane wall. J. Fluid Mech. 27 (4), 705-724.
47. OSEEN, C. W. 1928 Neuere Methoden und Ergebnisse in der Hydrodynamik. Dissertation, Akademische Verlagsgesellschaft, Leipzig.
48. PHUNG, T. N., BRADY, J. F. & BOSSIS, G. 1996 Stokesian dynamics simulation of Brownian suspensions. J. Fluid Mech. 313, 181-207. (Pubitemid 126467085)
49. RAMACHANDRAN, A. & LEIGHTON, D. T. 2007 Viscous resuspension in a tube: the impact of secondary flows resulting from second normal stress differences. Phys. Fluids 19 (5), 053301.
50. SIEROU, A. & BRADY, J. F. 2001 Accelerated Stokesian dynamics simulations. J. Fluid Mech. 448, 115-146. (Pubitemid 33087439)
51. SESHADRI, V. & SUTERA, S. P. 1970 Apparent viscosity of coarse concentrated suspensions in tube flow. J. Rheol. 14 (3), 351-373.
52. STABEN, M. E., ZINCHENKO, A. Z. & DAVIS, R. H. 2003 Motion of a particle between two parallel plane walls in low-Reynolds-number Poiseuille flow. Phys. Fluids 15, 1711-1734.
53. SWAN, J. W. & BRADY, J. F. 2007 Simulation of hydrodynamically interacting particles near a no-slip boundary. Phys. Fluids 19, 113306.
54. SWAN, J. W. & BRADY, J. F. 2010 Particle motion between parallel walls: hydrodynamics and simulation. Phys. Fluids 22, 103301.
55. ZARRAGA, I. E. & LEIGHTON, D. T. 2002 Measurement of an unexpectedly large shear-induced self-diffusivity in a dilute suspension of spheres. Phys. Fluids 14 (7), 2194.
56. ZURITA-GOTOR, M., BLAWZDZIEWICZ, J. & WAJNRYB, E. 2007 Motion of a rod-like particle between parallel walls with application to suspension rheology. J. Rheol. 51 (1), 71-97. (Pubitemid 46146469)