The effects of viscoelasticity on the transient motion of a sphere in a shear-thinning fluid

Journal of Rheology

Volumn 41, Issue 1, 1997, Pages 103-128

  Arigo, Mark T ^a   McKinley, Gareth H ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; KINEMATICS; MATHEMATICAL MODELS; OSCILLATIONS; POLYMERS; SHEAR FLOW; SOLUTIONS; SPHERES; VELOCITY; VISCOELASTICITY;

DEBORAH NUMBERS; EXTENSIONAL FLOW; LINEAR JEFFREYS MODEL; MAXWELL MODEL; POLYACRYLAMIDE; SHEAR KINEMATICS; SHEAR THINNING FLUID; SPHERE TO TUBE RATIO; TRANSIENT MOTION;

RHEOLOGY;

EID: 0030821082     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.550803     Document Type: Article

References (28)

1. Agarwal, U. S., A. Dutta, and R. A. Mashelkar, "Migration of macromolecules under flow: The physical origin and engineering implications," Chem. Eng. Sci. 49, 1693-1717 (1994).
2. Arigo, M. T., D. Rajagopalan, and G. H. McKinley, "The sedimentation of a sphere through an elastic fluid: Part 1. Steady motion," J. Non-Newt. Fluid Mech. 60, 225-257 (1995).
3. Arigo, M. T. and G. H. McKinley, "The steady and transient motion of a sphere through a viscoelastic fluid," in ASME Fluids Engineering Division: Cavitation and Multiphase Flow, edited by J. Katz and O. Furuya (ASME, New York, 1994), Vol. 194, pp. 139-147.
4. Becker, L. E., G. H. McKinley, and H. A. Stone, "Sedimentation of a sphere near a plane wall: Weak non-Newtonian and inertial effects," J. Non-Newt. Fluid Mech. 63, 201-233 (1996).
5. Becker, L. E., G. H. McKinley, H. K. Rasmussen, and O. Hassager, "The unsteady motion of a sphere in a viscoelastic fluid," J. Rheol. 38, 377-403 (1994).
6. Bird, R. B., R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, 2nd ed. (Wiley, New York, 1987), Vol. 1.
7. Bisgaard, C., "Velocity fields around spheres and bubbles investigated by laser-doppler anemometry," J. Non-Newt. Fluid Mech. 12, 283-302 (1983).
8. Bodart, C. and M. J. Crochet, "The time-dependent flow of a viscoelastic fluid around a sphere," J. Non-Newt. Fluid Mech. 54, 303-329 (1994).
9. Brown, R. A. and G. H. McKinley, "Report on the VIIIth International Workshop on Numerical Methods in Viscoelastic Flows," J. Non-Newt. Fluid Mech., 52, 407-413 (1994).
10. Caswell, B., "Report on the IXth International Workshop on Numerical Methods in Viscoelastic Flows," J. Non-Newt. Fluid Mech. 62, 99-110 (1996).
11. Chhabra, R. P., Bubbles, Drops, and Particles in Non-Newtonian Fluids (Chemical Rubber, Boca Raton, FL, 1993).
12. Chmielewski, C., K. L. Nichols, and K. Jayarman, "A comparison of the drag coefficients of spheres translating in corn-syrup-based and polybutene-based Boger fluids," J. Non-Newt. Fluid Mech. 35, 37-49 (1990).
13. Happel, J. and H. Brenner, Low Reynolds Number Hydrodynamics (Mantinus Nijhoff, Dordrecht, 1973).
14. Hassager, O., "Working group on numerical techniques," J. Non-Newt. Fluid Mech. 29, 2-5 (1988).
15. King, M. J. and N. D. Waters, "The unsteady motion of a sphere in an elastico-viscous liquid," J. Phys. D: Appl. Phys. 5, 141-150 (1972).
16. Lee, S. J., M. M. Denn, M. J. Crochet, A. B. Metzner, and G. J. Riggins, "Compressive flow between parallel disks: II oscillatory behavior of viscoelastic materials under a constant load," J. Non-Newt. Fluid Mech, 14, 301-325 (1984).
17. Lovalenti, P. M. and J. F. Brady, "The hydrodynamic force on a rigid particle undergoing arbitrary time-dependent motion at small Reynolds number," J. Fluid Mech. 256, 561-605 (1993).
18. Maalouf, A. and D. Sigli, "Effects of body shape and viscoelasticity on the slow flow around an obstacle," Rheol. Acta 23, 497-507 (1984).
19. Mena, B., O. Manero, and L. G. Leal, "The influence of rheological properties on the slow flow past spheres," J. Non-Newt. Fluid Mech. 26, 247-275 (1987).
20. Narain, A. and D. D. Joseph, "Remarks about the interpretation of impulse experiments in shear flows of viscoelastic fluids," Rheol. Acta 22, 528-538 (1983).
21. Rajagopalan, D., M. T. Arigo, and G. H. McKinley, "The sedimentation of a sphere through an elastic fluid: Part 2. Transient motion," J. Non-Newt. Fluid Mech. 65, 17-46 (1996).
22. Satrape, J. V. and M. J. Crochet, "Numerical simulation of the motion of a sphere in a Boger fluid," J. Non-Newt. Fluid Mech. 55, 91-111 (1994).
23. Sigli, D. and M. Coutanceau, "Effect of finite boundaries on the slow Laminar isothermal flow of a viscoelastic fluid around a spherical obstacle," J. Non-Newt. Fluid Mech. 2, 1-21 (1977).
24. Solomon, M. J. and S. J. Muller, "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-Newt. Fluid Mech. 62, 81-94 (1996).
25. Walters, K., "Non-Newtonian fluids" videotape, University of Wales Institute of Non-Newtonian Fluid Mechanics, (1986).
26. Walters, K. and R. I. Tanner, "The motion of a sphere through an elastic fluid," in Transport Processes in Bubbles, Drops, and Particles, edited by R. P. Chhabra and D. DeKee (Hemisphere, New York, 1992).
27. Zheng, R. and N. Phan-Thien, "A boundary element simulation of the unsteady motion of a sphere in a cylindrical tube containing a viscoelastic fluid," Rheol. Acta 31, 323-332 (1992).
28. Zölzer, U. and H. F. Eicke, "Free oscillatory shear measurements - an interesting application of constant stress rheometers in the creep mode," Rheol. Acta 32, 104-107 (1993).