Wake measurements for flow around a sphere in a viscoelastic fluid

Physics of Fluids

Volumn 11, Issue 12, 1999, Pages 3599-3612

  Fabris, Drazen ^a,d   Muller, Susan J ^b   Liepmann, Dorian ^c  

^a Illinois Institute of Technology   (United States)

^b University of California   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d IIT RESEARCH INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000784669     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870225     Document Type: Article

References (38)

1. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Martinus Nijhoff, 1973).
2. F. M. Leslie and R. I. Tanner, "The slow flow of a viscoelastic liquid past a sphere," Q. J. Mech. Appl. Math. 14, 36-48 (1961).
3. B. Caswell and W. H. Schwarz, "The creeping motion of a non-Newtonian fluid past a sphere," J. Fluid Mech. 13, 417-426 (1962).
4. H. Giesekus, "Die simulatane translations und rotations bewegung einer kugel in enner elastovisken flussigkeit," Rheol. Acta 3, 59-71 (1963).
5. R. Brown and G. McKinley, "Report on the VIIIth Int. workshop on numerical methods in viscoelastic flows," J. Non-Newtonian Fluid Mech. 52, 407-413 (1994).
6. M. D. Chilcott and J. M. Rallison, "Creeping flow of dilute polymer solutions past cylinders and spheres," J. Non-Newtonian Fluid Mech. 29, 381-432 (1988).
7. W. J. Lunsmann, L. Genieser, R. C. Armstrong, and R. A. Brown, "Finite element analysis of steady viscoelastic flow around a sphere in a tube - calculations with constant viscosity models," J. Non-Newtonian Fluid Mech. 48, 63-99 (1993).
8. B. Gervang, A. R. Davies, and T. N. Phillips, "On the simulation of viscoelastic flow past a sphere using spectral methods," J. Non-Newtonian Fluid Mech. 44, 281-306 (1992).
9. C. Bodart and M. J. Crochet, "The time-dependent flow of a viscoelastic fluid around a sphere," J. Non-Newtonian Fluid Mech. 54, 303-329 (1994).
10. J. V. Satrape and M. J. Crochet, "Numerical simulation of the motion of a sphere in a Boger fluid," J. Non-Newtonian Fluid Mech. 55, 91-111 (1994).
11. M. T. Arigo, D. Rajagoplan, N. Shapley, and G. H. McKinley, "The sedimentation of a sphere through an elastic fluid Part 1. Steady motion," J. Non-Newtonian Fluid Mech. 60, 225-257 (1995).
12. K. Walters and H. A. Barnes, Anomalous extensional-flow effects in the use of commercial viscometers, in Rheology, Volume 1: Principles, Proceedings of the Eighth International Congress of Rheology, edited by G. Astarita, G. Marrucci, and L. Nicolais (Plenum, New York, 1980), pp. 45-62.
13. N. Phan-Thien, R. Zheng, and R. I. Tanner, "Flow along the centerline behind a sphere in a uniform stream," J. Non-Newtonian Fluid Mech. 41, 151-170 (1994).
14. M. B. Bush, "On the stagnation flow behind a sphere in a shear-thinning viscoelastic liquid," J. Non-Newtonian Fluid Mech. 55, 229-247 (1994).
15. R. P. Chabbra, P. H. T. Uhlherr, and D. V. Boger, "The influence of fluid elasticity on the drag coefficient for creeping flow around a sphere," J. Non-Newtonian Fluid Mech. 6, 381-199 (1980).
16. C. Chmielewski, K. L. Nichols, and K. Jayaraman, "A comparison of the drag coefficients of spheres translating in corn-syrup-based and polybutene-based boger fluids," J. Non-Newtonian Fluid Mech. 35, 37-49 (1990).
17. V. Tirtaatmadja, P. H. T. Uhlherr, and T. Sridhar, "Creeping motion of spheres in fluid M1," J. Non-Newtonian Fluid Mech. 35, 327-337 (1990).
18. W. M. Jones, A. H. Price, and K. Walters, "Motion of a sphere falling under gravity in a constant-viscosity elastic liquid," J. Non-Newtonian Fluid Mech. 53, 175-196 (1994).
19. K. Walters 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. D. Kee (Hemisphere, New York, 1992).
20. M. J. Solomon 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-Newtonian Fluid Mech. 62, 81-94 (1996).
21. D. Rajagopalan, M. T. Arigo, and G. H. McKinley, "The sedimentation of a sphere through an elastic fluid Part 2. Transient motion," J. Non-Newtonian Fluid Mech. 65, 17-46 (1996).
22. M. T. Arigo and G. H. McKinley, "The effects of viscoelasticity on the transient motion of a sphere in a shear-thinning fluid," J. Rheol. 41, 103-128 (1997).
23. M. T. Arigo and G. H. McKinley, "An experimental investigation of negative wakes behind spheres settling in a shear thinning fluid," Rheol. Acta 37, 307-327 (1998).
24. M. J. Solomon and S. J. Muller, "Study of mixed solvent quality in a polystyrene dioctyl phthalate polystyrene system," J. Polym. Sci., Part B: Polym. Phys. 34, 181-192 (1996).
25. M. J. Solomon and S. J. Muller, "The transient extensional behavior of polystyrene-based Boger fluids of varying solvent quality and molecular weight," J. Rheol. 40, 837-856 (1996).
26. D. Fabris, Ph.D. thesis, University of California, Berkeley, 1996.
27. R. J. Adrian, "Multi-point optical measurements of simultaneous vectors in unsteady flow-a review," Int. J. Heat Fluid Flow 7, 127-145 (1986).
28. R. D. Keane and R. J. Adrian, "Theory of cross-correlation analysis of PIV images," Appl. Sci. Res. 49, 191-215 (1992).
29. J. Westerweel, Ph.D. thesis, Technical University of Delft, 1993.
30. R. D. Keane and R. J. Adrian, "Optimization of particle image velocimeters, Part I: Double-pulsed systems," Meas. Sci. Technol. 1, 1202-1215 (1990).
31. R. D. Keane and R. J. Adrian, "Optimization of particle image velocimeters, Part II: Multiple-pulsed systems," Meas. Sci. Technol. 2, 963-974 (1991).
32. R. D. Keane and R. J. Adrian, "Theory and simulation of particle image velocimetry," Proc. SPIE Vol. 2052, p. 477-492, Fifth International Conference on Laser Anemometry: Advances and Applications, Peter J. de Groot, ed. (1993).
33. C. E. Willert and M. Gharib, "Digital particle image velocimetry," Exp. Fluids 10, 181-193 (1991).
34. L. E. Becker, G. H. McKinley, H. K. Rasmussen, and O. Hassager, "The unstesdy motion of a sphere in a viscoelastic fluid," J. Rheol. 38, 377-403 (1994).
35. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, UK, 1967).
36. H. K. Rasmussen and O. Hassager, "On the sedimentation velocity of spheres in a polymeric liquid," Chem. Eng. Sci. 51, 1431-1440 (1996).
37. O. G. Harlen, J. M. Rallison, and M. D. Chilcott, "High-Deborah-number flows of dilute polymer solutions," J. Non-Newtonian Fluid Mech. 34, 319-349 (1990).
38. O. G. Harlen, "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, 157-173 (1990).