Flow induced by a sphere settling in an aging yield-stress fluid

Physics of Fluids

Volumn 18, Issue 10, 2006, Pages

  Gueslin, B ^a,b   Talini, L ^a,c   Herzhaft, B ^b   Peysson, Y ^b   Allain, C ^a  

^a SORBONNE UNIVERSITÉ   (France)

^b IFP ENERGIES NOUVELLES   (France)

^c Centre National de la Recherche Scientifique   (France)

Author keywords

Confined flow; Drag; Non Newtonian flow; Non Newtonian fluids; Shear flow; Suspensions; Thixotropy; Two phase flow; Wakes; Yield stress

Indexed keywords

CONFINED FLOW; DRAG; SHEAR FLOW; SPHERES; SUSPENSIONS (FLUIDS); TWO PHASE FLOW; VISCOELASTICITY; WAKES; YIELD STRESS;

AGING YIELD-STRESS FLUID; SHEAR THINNING; SPHERE SETTLING; THIXOTROPY;

NON NEWTONIAN FLOW;

CONFINED FLOW; DRAG; NON NEWTONIAN FLOW; SHEAR FLOW; SPHERES; SUSPENSIONS (FLUIDS); TWO PHASE FLOW; VISCOELASTICITY; WAKES; YIELD STRESS;

EID: 33750576825     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2358090     Document Type: Article

References (29)

1. A. Saasen, "Sag of weight materials in oil based drilling fluids," Society of Petroleum Engineer Paper No. IADC/SPE 77190 (2002).
2. Y. Luo, P. A. Bern, B. D. Chambers, and D. S. Kellingray, "Simple charts to determine hole cleaning requirements in deviated wells," Society of Petroleum Engineer Paper No. IADC/SPE 77190 (2002).
3. R. K. Clark and K. L. Bickham, "A mechanistic model for cuttings transport," Society of Petroleum Engineer Paper No. 28306 (1994).
4. C. A. Shook and M. C. Roco, Slurry Flow-Principles and Practice, Series in Chemical Engineering (Butterworth-Heinemann, Stoneham, MA, 1991).
5. R. P. Chhabra, Bubbles, Drops and Particules in Non-Newtonian Fluids (CRC Press, Boca Raton, FL, 1993).
6. G. H. McKinley, "Steady and transient motion of spherical particles in viscoelastic fluids," in Transport Processes in Bubbles, Drops and Particles, edited by R. P. Chhabra and D. D. Kee (Taylor & Francis, New York, 2001).
7. M. T. Arigo, D. Rajagopalan, N. Shapley, and G. H. McKinley, "The sedimentation of a sphere through an elastic fluid, Part 1: Steady motion," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/ 0377-0257(95)01379-6 60, 225(1995).
8. M. T. Arigo and G. H. McKinley, "An experimental investigation of negative wakes behind spheres settling in a shear-thinning viscoelastic fluid," Rheol. Acta RHEAAK0035-451110.1007/s003970050118 37, 307(1998).
9. D. Fabris, S. J. Muller, and D. Liepmann, "Wake measurements for a flow around a sphere in a viscoelastic fluid," Phys. Fluids PHFLE61070-6631 11, 3559(1999).
10. O. Hassager, "Negative wake behind bubbles in non-Newtonian liquids," Nature NATUAS0028-083610.1038/279402a0 279, 402(1979).
11. O. G. Harlen, "The negative wake behind a sphere sedimenting through a viscoelastic fluid," J. Non-Newtonian Fluid Mech. JNFMDI0377-0257 108, 411(2002).
12. M. B. Bush, "On the stagnation flow behind a sphere in a shear-thinning viscoelastic fluid," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/0377-0257(94)80072-3 55, 229(1994).
13. A. N. Beris, J. A. Tsamopoulos, R. C. Armstrong, and R. A. Brown, "Creeping motion of a sphere through a Bingham plastic," J. Fluid Mech. JFLSA70022-112010.1017/S0022112085002622 158, 219(1985).
14. J. Blackery and E. Mitsoulis, "Creeping motion of a sphere in tubes filled with a Bingham plastic material," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/S0377-0257(96)01536-4 70, 59(1997).
15. M. Beaulne and E. Mitsoulis, "Creeping motion of a sphere in tubes filled with Herschel-Buckley fluids," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/S0377-0257(97)00024-4 72, 55(1997).
16. D. D. Attapatu, R. P. Chhabra, and P. H. T. Uhlherr, "Creeping sphere motion in Herschel-Buckley fluids: Flow field and drag," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/0377-0257(95)01373-4 59, 245(1995).
17. O. Merkak, L. Jossic, and A. Magnin, "Spheres and interactions between spheres moving at very low velocities in a yield stress fluid," J. Non-Newtonian Fluid Mech. JNFMDI0377-0257 133, 99(2006).
18. F. Pignon, J. M. Piau, and A. Magnin, "Structure and pertinent length scale of a discotic clay gel," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.76.4857 76, 4857(1996).
19. D. Bonn, H. Kellay, H. Tanaka, G. Wegdam, and J. Meunier, "Laponite: What is the difference between a gel and a glass ?" Langmuir LANGD50743-746310.1021/la990167+ 15, 7534(1999).
20. P. Levitz, E. Lécolier, A. Mourchid, A. Delville, and S. Lyonnard, "Liquid-solid transition of Laponite suspensions at very low ionic strength: Long-range electrostatic stabilisation of anisotropic colloids," Europhys. Lett. EULEEJ0295-507510.1209/epl/ i2000-00203-9 49, 672(2000).
21. P. Mongondry, "Structure et comportement rhéolgique des suspensions aqueuses de Laponite en présence de plusieurs additifs," Ph. D. thesis, University of Maine-Le Mans, 2003.
22. N. P. Chafe and J. R. de Bruyn, "Drag and relaxation in a bentonite clay suspension," J. Non-Newtonian Fluid Mech. JNFMDI0377-0257 131, 44(2005).
23. T. Ferroir, H. T. Huynh, X. Château, and P. Coussot, "Motion of a solid object through a pasty (thixotropic) fluid," Phys. Fluids PHFLE61070-663110.1063/1.1640372 16, 594(2004).
24. D. Bonn, S. Tanase, B. Abou, H. Tanaka, and J. Meunier, "Laponite: aging and shear rejuvenation of a colloidal glass," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.89.015701 89, 015701(2002).
25. P. Coussot, Q. D. Nguyen, H. Y. Huynh, and D. Bonn, "Avalanche behavior in yield stress fluids," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.88.175501 88, 175501(2002).
26. C. Wilhelm, F. Elias, J. Browaeys, A. Ponton, and J. C. Bacri, "Local rheological probes for complex fluids: Application to Laponite suspensions," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.66.021502 66, 021502(2002).
27. S. Chen and J. P. Rothstein, "Flow of a wormlike micelle solution past a falling sphere," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/j.jnnfm.2003.08.005 116, 205(2004).
28. L. Jossic and A. Magnin, "Drag and stability of objects in a yield stress fluid," AIChE J. AICEAC0001-154110.1002/aic.690471206 47, 2666(2001).
29. M. Bellour, A. Knaebel, J. L. Harden, F. Lequeux, and J.-P. Munch, "Aging processes and scale dependence in soft glassy colloidal suspensions," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.67.031405 67, 031405(2003).