Viscous fingering in shear thickening silica suspensions

Physics of Fluids

Volumn 17, Issue 5, 2005, Pages 1-5

  Kagei, Naoki ^a   Daisuke, Kanie ^a   Kawaguchi, Masami ^a  

^a MIE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL MODIFICATION; NON NEWTONIAN LIQUIDS; PRESSURE EFFECTS; SHEAR FLOW; SILICA; VISCOUS FLOW;

CELL GAPS; HELE-SHAW CELLS; INJECTION PRESSURE; SILICA SUSPENSIONS;

SUSPENSIONS (FLUIDS);

VISCOUS FLOW;

EID: 20444368441     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1894407     Document Type: Article

References (33)

1. P. G. Saffman and G. I. Taylor, "The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 245, 312 (1958).
2. H. J. S. Hele-Shaw, "The flow of water," Nature (London)NATUAS0028-0836 58, 34 (1898).
3. A. Buka, J. Kertesz, and T. Vicsek, "Transitions of viscous fingering patterns in nematic liquid crystals," Nature (London) NATUAS0028-083610.1038/323424a0 323, 424 (1986).
4. A. Buka and P. Palffy-Muhoray, "Stability of viscous fingering patterns in liquid crystals," Phys. Rev. APLRAAN1050-294710.1103/ PhysRevA.36.1527 36, 1527 (1987).
5. V. K. Horvath, J. Kertesz, and T. Vicsek, "Viscous fingering in a smectic liquid crystal," Europhys. Lett.EULEEJ0295-5075 4, 1133 (1987).
6. J. Nittmann, G. Daccord, and H. E. Stanley, "Fractal growth of viscous fingers: Quantitative characterization of a fluid instability phenomenon," Nature (London) NATUAS0028-083610.1038/314141a0 314, 141 (1985).
7. G. Daccord, J. Nittmann, and H. E. Stanley, "Radial viscous fingers and diffusion-limited aggregation: Fractal dimension and growth sites," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.56.336 56, 336 (1986).
8. H. Zhao and J. V. Maher, "Viscous effects in patterns between miscible liquids," Phys. Rev. APLRAAN1050-294710.1103/ PhysRevA.45.R8328 45, R8328 (1992)
9. H. Zhao and J. V. Maher "Associating-polymer effects in a Hele-Shaw experiment," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.47.4278 47, 4278 (1993).
10. D. H. Vlad, J. Inges-Mullol, and J. V. Maher, "Velocity-jump instabilities in Hele-Shaw flow of associating polymer solutions," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.60.4423 60, 4423 (1999).
11. D. Bonn, H. Kellay, M. B. Amar, and J. Meunier, "Viscous finger widening with surfactants and polymers," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.75.2132 75, 2132 (1995).
12. D. Bonn, H. Kellay, M. Braunlich, M. B. Amar, and J. Meunier, "Viscous fingering in complex fluids," Physica APHYADX0378-437110.1016/0378-4371(95)00114-M 220, 60 (1995).
13. K. Makino, M. Kawaguchi, K. Aoyama, and T. Kato, "Transition of viscous fingering patterns in polymer solutions," Phys. FluidsPHFLE61070-663110.1063/1.868643 7, 455 (1995).
14. M. Kawaguchi, A. Shibata, K. Shimomoto, and T. Kato, "Effect of geometry and anisotropy of a Hele-Shaw cell on viscous fingering of polymer solutions," Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.58.785 58, 785 (1998).
15. M. Kawaguchi, "Viscous fingering in polymeric systems," Nonlinear Analalysis 47, 907 (2001).
16. D. H. Vlad and J. V. Maher, "Tip-splitting instabilities in the channel Saffman-Taylor flow of constant viscosity elastic fluids," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.61.5439 61, 5439 (2000).
17. M. Kawaguchi, Y. Hibino, and T. Kato, "Anisotropy effects of Hele-Shaw cells on viscous fingering instability in dilute polymer solutions," Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.64.051806 64, 051806 (2001).
18. H. Van Damme, F. Obrecht, P. Levitz, L. Gatineau, and C. Laroche, "Fractal viscous fingering in clay slurries," Nature (London) NATUAS0028-083610.1038/320731a0 320, 731 (1986).
19. E. Lemaire, P. Levitz, G. Daccord, and H. Van Damme, "From viscous fingering to viscoelastic fracturing in colloidal fluids," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.67.2009 67, 2009 (1991).
20. M. Kawaguchi, K. Makino, and T. Kato, "Viscous fingering patterns of silica suspensions in polymer solutions: Effects of viscoelasticity and gravity," Physica APHYADX0378-437110.1016/S0378-4371(97)00358-0 246, 385 (1997).
21. M. Kawaguchi, "Viscous fingering of silica suspensions dispersed in polymer fluids," in Nonlinear Dynamics in Polymeric Systems, ACS Sympo-sium Series 869, edited by J. A. Pojman and Q. Tran-Cong-Miyata (ACS, Washington, DC, 2004), p. 250.
22. S. S. Park and D. J. Durian, "Viscous and elastic fingering instabilities in foam," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.72.3347 72, 3347 (1994).
23. A. Linder, P. Coussot, and D. Bonn, "Viscous fingering in a yield stress fluid," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.85.314 85, 314 (2000).
24. M. Kawaguchi, S. Yamazaki, K. Yonekura, and T. Kato, "Viscous fingering instabilities in an oil in water emulsion," Phys. FluidsPHFLE61070-663110.1063/1.1709543 16, 1908 (2004).
25. T. Vicek, Fractal Growth Phenomena (World Scientific, Singapore, 1992).
26. P. Meakin, Fractal, Scaling and Growth Far from Equilibrium (Cambridge University Press, Cambridge, 1998).
27. K. V. McCloud and J. V. Maher, "Experimental perturbations to Saffman-Taylor flow," Phys. Rep. PRPLCM0370-157310.1016/ 0370-1573(95)91133-U 260, 139 (1995).
28. M. Ben Amar and E. C. Poire, "Pushing a non-Newtonian fluid in a Hele-Shaw cell: From fingers to needles," Phys. FluidsPHFLE61070-663110.1063/1.870041 11, 1757 (1999).
29. S. R. Raghavan, H. J. Walls, and S. A. Khan, "Rheology of silica dispersions in organic liquids: New evidence for salvation forces dictated by hydrogen bonding," LangmuirLANGD50743-746310.1021/ la991548q 16, 7920 (2000).
30. J. W. Van Egmond, "Shear-thickening in suspensions, associating polymers, worm-like micelles, and poor polymer solutions," Curr. Opin. Colloid Interface Sci.COCSFL1359-0294 3, 385 (1998).
31. P. Tabeling and A. Libchaber, "Film draining and the Saffman-Taylor problem," Phys. Rev. APLRAAN1050-294710.1103/PhysRevA.33.794 33, 794 (1986).
32. P. Tabeling, G. Zocchi, and A. Libchaber, "An experimental study of the Saffman-Taylor instability," J. Fluid Mech.JFLSA70022-1120 177, 67 (1987).
33. D. Bensimon, L. P. Kadanoff, S. Liang, B. I. Shariman, and C. Tang, "Viscous flows in two dimensions," Rev. Mod. Phys.RMPHAT0034-686110.1103/RevModPhys.58.977 58, 977 (1986).