The effect of sphere-wall interactions on particle motion in a viscoelastic suspension of FENE dumbbells

Journal of Non-Newtonian Fluid Mechanics

Volumn 85, Issue 1, 1999, Pages 63-92

  Binous, Housam ^a   Phillips, Ronald J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW INTERACTIONS; NEWTONIAN LIQUIDS; PARTICLES (PARTICULATE MATTER); SUSPENSIONS (FLUIDS); VISCOELASTICITY; WALL FLOW;

FINITE EXTENSION NONLINEAR ELASTIC DUMBBELLS; POISEUILLE FLOW; VISCOELASTIC BOGER FLUIDS; VISCOELASTIC SUSPENSIONS;

VISCOUS FLOW;

DYNAMIC MODELING; PARTICLE MOTION; VISCOELASTIC FLUID;

EID: 0344423814     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(98)00190-6     Document Type: Article

References (31)

1. H. Binous, R.J. Phillips, Dynamic simulation of one and two particles sedimenting in a viscoelastic suspension of FENE Dumbbells, J. Non-Newtonian Fluid Mech., in press.
2. Brady J.F., Bossis G. Stokesian dynamics. Ann. Rev. Fluid Mech. 20:1988;111.
3. Blake J.R. A note on the image system for a stokeslet in a no-slip boundary. Proc. Camb. Phil. Soc. 70:1971;303-310.
4. D.D. Joseph, J. Nelson, H.H. Hu, Y.J. Liu, Competition between inertial pressures and normal stresses in the flow induced anisotropy of solid particles, in: P. Moldenaers, R. Keunings (Eds.), Theoretical and Applied Rheology, Elsevier, Amsterdam, 1992, pp. 60-65.
5. Liu Y.J., Nelson J., Feng J., Joseph D.D. Anomalous rolling of spheres down an inclined plane. J. Non-Newtonian Fluid Mech. 50:1993;305-329.
6. Joseph D.D., Liu Y.J., Poletto M., Feng J. Aggregation and dispersion of spheres falling in viscoelastic liquids. J. Non-Newtonian Fluid Mech. 54:1994;45-86.
7. Becker L.E., McKinley G.H., Stone H.A. Sedimentation of a sphere near a plane wall: weak non-Newtonian and inertial effects. J. Non-Newtonian Fluid Mech. 63:1996;20-233.
8. J. Happel, H. Brenner, Low Reynolds Number Hydrodynamics, Martinus-Jijhoff, The Hague, 1983.
9. Feng J., Huang P.Y., Joseph D.D. Dynamic simulation of sedimentation of solid particles in an Oldroyd-B fluid. J. Non-Newtonian Fluid Mech. 63:1996;63-88.
10. Karnis A., Mason S.G. Particle motion in sheared suspension XIX. Viscoelastic media. Trans. Soc. Rheol. 10:1996;571-592.
11. Gauthier F., Goldsmith H.L., Mason S.G. Particle motions in non-Newtonian media II. Poiseuille flow. Trans. Soc. Rheol. 15:1971;297-330.
12. Jefri M.A., Zahed A.H. Elastic and viscous effects on particle migration in plane Poiseuille flow. J. Rheol. 33:1989;691-708.
13. Ho B.P., Leal L.G. Migration of rigid spheres in a two-dimensional unidirectional shear flow of a second-order fluid. J. Fluid Mech. 76:1976;783-799.
14. Huang P.Y., Feng J., Hu H.H., Joseph D.D. Direct simulation of the motion of solid particles in Couette and Poiseuille flows of viscoelastic fluids. J. Fluid Mech. 343:1997;73-94.
15. J.D. Jackson, Classical Electrodynamics, Wiley, New York, 1975.
16. Bossis G., Meunier A., Sherwood J.D. Stokesian dynamics simulations of particle trajectories near a plane. Phys. Fluids A. 3:1991;1853-1858.
17. Durlofsky L., Brady J.F. Dynamic simulation of bounded suspensions of hydrodynamically interacting particles. J. Fluid Mech. 200:1989;39-67.
18. Brenner H. The slow motion of a sphere through a viscous fluid towards a plane surface. Chem. Eng. Sci. 16:1961;242-251.
19. Goldman A.J., Cox R.G., Brenner H. Slow viscous motion of a sphere parallel to a plane wall I. Motion through a quiescent fluid. Chem. Eng. Sci. 22:1967;637-651.
20. Ganatos P., Weinbaum S., Pfeffer R. A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries Part 1. Perpendicular motion. J. Fluid Mech. 99:1980;739-753.
21. Ganatos P., Weinbaum S., Pfeffer R. A strong interaction theory for the creeping motion of a sphere between plane parallel boundaries Part 2. Parallel motion. J. Fluid Mech. 99:1980;755-783.
22. Hsu R., Ganatos P. Gravitational and zero-drag motion of a spheroid adjacent to an inclined plane at low Reynolds number. J. Fluid Mech. 268:1994;267-292.
23. Herrchen M., Öttinger H.C. A detailed comparison of various FENE dumbbell models. J. Non-Newtonian Fluid Mech. 68:1997;17-42.
24. Ermak D.L., McCammon J.A. Brownian Dynamics with hydrodynamic interactions. J. Chem. Phys. 69:1978;1352-1360.
25. Durlofsky L., Brady J.F., Bossis G. Dynamic simulation of hydrodynamically interacting particles. J. Fluid Mech. 180:1987;21-49.
26. S. Kim, S.J. Karrila, Microhydrodynamics, Butterworth-Heinemann, Boston, 1991.
27. Blake J.R., Chwang A.T. Fundamental singularities of viscous flow Part I. The image systems in the vicinity of a stationary no-slip boundary. J. Eng. Math. 8:1974;23-29.
28. Jones W.M., Price A.H., Walters K. The motion of a sphere falling under gravity in a constant viscosity elastic liquid. J. Non-Newtonian Fluid Mech. 53:1994;175-196.
29. L.G. Leal, Laminar Flow and Convective Transport Processes, Butterworth-Heinemann, Boston, 1992.
30. Liu Y.J., Joseph D.D. Sedimentation of particles in polymer solutions. J. Fluid Mech. 255:1993;565-595.
31. Joseph D.D., Liu Y.J. Orientation of long bodies falling in a viscoelastic liquid. J. Rheol. 37:1993;961-983.