Dynamic simulation of one and two particles sedimenting in viscoelastic suspensions of FENE dumbbells

Journal of Non-Newtonian Fluid Mechanics

Volumn 83, Issue 1-2, 1999, Pages 93-130

  Binous, Housam ^a   Phillips, Ronald J ^a  

^a University of California   (United States)

Author keywords

Dumbbell; FENE; Particle; Sphere; Viscoelastic

Indexed keywords

COMPUTER SIMULATION; FLUID STRUCTURE INTERACTION; NEWTONIAN LIQUIDS; NUMERICAL METHODS; PARTICLES (PARTICULATE MATTER); SEDIMENTATION; SPHERES; SUSPENSIONS (FLUIDS); VISCOELASTICITY;

DEBORAH NUMBERS; DUMBBELL; FINITE EXTENSION NONLINEAR ELASTIC; STOKESIAN DYNAMICS METHOD; VISCOELASTIC FLUID;

NON NEWTONIAN LIQUIDS;

DYNAMIC MODELING; PARTICLE MOTION;

EID: 0032792032     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(98)00141-4     Document Type: Article

References (51)

1. Brady J.F., Bossis G. Stokesian dynamics. Ann. Rev. Fluid Mech. 20:1988;111.
2. Ladd A.J.C. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results. J. Fluid Mech. 271:1994;285.
3. R.G. Bird, R.C. Armstrong, O. Hassager, Dynamics of polymeric liquids, vol. 1, Fluid Mechanics, Wiley, 1987a.
4. R.I. Tanner, Engineering Rheology, Clarendon Press, Oxford, 1988.
5. R.G. Bird, C.F. Curtiss, R.C. Armstrong, O. Hassager, Dynamics of polymeric liquids, vol. 2, Kinetic Theory, Wiley, 1987b.
6. Chilcott M.D., Rallison J.M. Creeping flow of dilute polymer solutions past cylinders and spheres. J. Non-Newtonian Fluid Mech. 29:1988;381.
7. R.P. Chhabra, Bubbles, Drops and Particles in Non-Newtonian Fluids, Chap. 4, CRC Press, Boca Raton, FL, 1993.
8. K. Walters, R.I. Tanner, The motion of a sphere through an elastic liquid, in: R.P. Chhabra, D. Dekee (Eds.), Transport Processes in Bubbles, Drops and Particles, Hemisphere, Chap. 3, New York, 1992.
9. Solomon M.J., Muller S.J. Flow past a sphere in polystyrene-based Boger fluids: The effect on the drag coefficient of finite extensibility, solvent quality and polymer molecular weight. J. Non-Newtonian Fluid Mech. 62:1996;81.
10. Harlen O.G. High Deborah number flow of a dilute polymer solution past a sphere falling along the axis of a cylindrical tube. J. Non-Newtonian Fluid Mech. 37:1990;137.
11. Tiefenbruck G., Leal L.G. A note on rods falling near a vertical wall in a viscoelastic liquid. J. Non-Newtonian Fluid Mech. 6:1980;201.
12. Chiba K., Song Ki-Won, Horikawa A. Motion of a slender body in quiescent polymer solutions. Rheol. Acta. 25:1986;380.
13. Liu Y.J., Joseph D.D. Sedimentation of particles in polymer solutions. J. Fluid Mech. 255:1993;565.
14. Kim S. The motion of ellipsoids in a second-order fluid. J. Non-Newtonian Fluid Mech. 21:1986;255.
15. Riddle M.J., Narvaez C., Bird R.B. Interactions between two spheres falling along their line of centers in a viscoelastic fluid. J. Non-Newtonian Fluid Mech. 2:1977;23.
16. 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.
17. Gheissary G., van den Brule B.H.A.A. Unexpected phenomena observed in particle settling in non-Newtonian media. J. Non-Newtonian Fluid Mech. 67:1996;1.
18. Allen E., Uhlherr P.H.T. Non-homogeneous sedimentation in viscoelastic fluids. J. Rheol. 33:1989;627.
19. P. Brunn, Interaction of spheres in a viscoelastic fluid, Rheol. Acta 16 (1977a) 461.
20. Phillips R.J. Dynamic simulation of hydrodynamically interacting spheres in a quiescent second-order fluid. J. Fluid Mech. 315:1996;345.
21. Leal L.G. The motion of small particles in non-Newtonian fluids. J. Non-Newtonian Fluid Mech. 5:1979;33.
22. 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.
23. Larson R.G. Instabilities in viscoelastic flows. Rheol. Acta. 31:1992;213.
24. Bisgaard C. Velocity fields around spheres and bubbles investigated by laser-Doppler anemometry. J. Non-Newtonian Fluid Mech. 12:1983;283.
25. Arigo M.T., Rajagopalan D., Shapley N., McKinley G.H. The sedimentation of a sphere through an elastic fluid. Part 1. Steady motion. J. Non-Newtonian Fluid Mech. 60:1995;225.
26. McKinley G.H., Armstrong R.C., Brown R.A. The wake instability in viscoelastic flow past confined circular cylinders. Phil. Trans. R. Soc. London A. 344:1993;265.
27. S.J. Muller, Experimental analysis of flow through an axisymmetric sudden contraction: Rheological characterization and LDV measurements, Ph. D. Thesis, Massachusetts Institute of Technology, Cambridge, MA, 1986.
28. McKinley G.H., Raiford W.P., Brown R.A., Armstrong R.C. Non-linear dynamics of viscoelastic flow in axisymmetric abrupt contractions. J. Fluid Mech. 223:1991;411.
29. Schieber J.D. Internal viscosity dumbbell model with a Gaussian approximation. J. Rheol. 37:1993;1003.
30. Hinch E.J. Brownian motion with stiff bonds and rigid constraints. J. Fluid Mech. 271:1994;219.
31. van den Brule B.H.A.A. Brownian dynamics simulation of finitely extensible bead-spring chains. J. Non-Newtonian Fluid Mech. 47:1993;357.
32. Durlofsky L., Brady J.F., Bossis G. Dynamic simulation of hydrodynamically interacting particles. J. Fluid Mech. 180:1987;21.
33. Phillips R.J., Brady J.F., Bossis G. Hydrodynamic transport properties of hard-sphere dispersions. II. Porous media. Phys. Fluids. 31:1988;3473.
34. Ermak D.L., McCammon J.A. Brownian dynamics with hydrodynamic interactions. J. Chem. Phys. 69:1978;1352.
35. Brady J.F., Phillips R.J., Lester J.C., Bossis G. Dynamic simulation of hydrodynamically interacting suspensions. J. Fluid Mech. 195:1988;257.
36. Phillips R.J., Brady J.F., Bossis G. Hydrodynamic transport properties of hard-sphere dispersions. I. Suspensions of freely mobile particles. Phys. Fluids. 31:1988;3462.
37. Rallison J.M., Hinch E.J. Do we understand the physics in the constitutive equation? J. Non-Newtonian Fluid Mech. 29:1988;37.
38. Wiest J.M., Tanner R.I. Rheology of bead-non-linear spring chain macromolecules. J. Rheol. 33:1989;281.
39. Bird R.B., Saab H.H., Dotson P.J., Fan X.J. Macromolecular extension in flow fields. J. Chem. Phys. 79:1983;5729.
40. Cressely R., Hocquart R. Birefringence d'écoulement localisée induite à l'arriere d'obstacles. Optica Acta. 27:1980;699.
41. Rajagopalan D., Arigo M.T., McKinley G.H. The sedimentation of a sphere through an elastic fluid. Part 2. Transient motion. J. Non-Newtonian Fluid Mech. 65:1996;17.
42. Chhabra R.P., Uhlherr P.H.T., Boger D.V. The influence of fluid elasticity on the drag coefficient for creeping flow around a sphere. J. Non-Newtonian Fluid Mech. 6:1980;187.
43. Tirtaatmadja B., Sridhar T. A filament stretching device for measurement of extensional viscosity. J. Rheol. 37:1993;1081.
44. Leal L.G. The slow motion of slender rod-like particles in a second-order fluid. J. Fluid Mech. 69:1975;305.
45. Maalouf A., Sigli D. Effects of body shape and viscoelasticity on the slow flow around an obstacle. Rheol. Acta. 23:1984;497.
46. E. Bot, M. Hulsen, B.H.A.A. vanden Brule, On the relative motion of two sedimenting spheres in a viscoelastic fluid, Society of Rheology Annual Meeting, Columbus, OH, 1997.
47. 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, 1992, p.60.
48. 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;201.
49. H. Binous, R.J. Phillips, The effect of sphere-wall interactions on particle motion in viscoelastic suspensions of FENE dumbbells, J. Non-Newtonian Fluid Mech. (in press).
50. Claeys I.L., Brady J.F. Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions. J. Fluid Mech. 251:1993;443.
51. Lunsmann W.J., Genieser L., Armstrong R.C., Brown R.A. Finite element analysis of steady viscoelastic flow around a sphere in a tube-calculations with constant-viscosity models. J. Non-Newtonian Fluid Mech. 48:1993;63.