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Stress propagation in a concentrated colloidal suspension under shear

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Abstract

The stress propagation in a concentrated attractive colloidal suspension under shear is studied using numerical simulations. The spatial correlations of the intercolloidal stress field are studied and an inertia-like tensor is defined in order to characterize the anisotropic nature of the stress field. It is shown that the colloids remain in a liquid order, the intercolloidal stress is strongly anisotropic. A transition under flow is observed: during a transient regime at low deformation, the stress propagates along the compression direction of the shear, whereas at larger deformations, the stress is organized into layers parallel to the (flow, vorticity) plane.

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References

  1. P. Varadan, M.J. Solomon, J. Rheol. 47, 943 (2003)

    Article  ADS  Google Scholar 

  2. X. Cheng, J.H. McCoy, J.N. Israelachvili, I. Cohen, Science 333, 1276 (2011)

    Article  ADS  Google Scholar 

  3. N.J. Wagner, J.F. Brady, Phys. Today, October issue, 27 (2009)

  4. B.J. Maranzano, N.J. Wagner, J. Chem. Phys. 117, 10291 (2002)

    Article  ADS  Google Scholar 

  5. D. Lootens, H. Van Damme, P. Hébraud, Phys. Rev. Lett. 90, 178301 (2003)

    Article  ADS  Google Scholar 

  6. D. Lootens, H. van Damme, Y. Hémar, P. Hébraud, Phys. Rev. Lett. 95, 268302 (2005)

    Article  ADS  Google Scholar 

  7. M.D. Haw, Phys. Rev. Lett. 92, 185506 (2004)

    Article  ADS  Google Scholar 

  8. D. Lootens, P. Hébraud, É. Lécolier, H. van Damme, Oil Gas Sci. Technol. 59, 31 (2004)

    Article  Google Scholar 

  9. E. Brown, N.A. Forman, C.S. Orellana, H. Zhang, B.W. Maynor, D.E. Betts, J.M. DeSimone, H.M. Jaeger, Nat. Mater. 9, 220 (2010)

    ADS  Google Scholar 

  10. R.S. Farr, J.R. Melrose, R.C. Ball, Phys. Rev. E 55, 7203 (1997)

    Article  ADS  Google Scholar 

  11. F. Ianni, D. Lasne, R. Sarcia, P. Hébraud, Phys. Rev. E 74, 011401 (2006)

    Article  ADS  Google Scholar 

  12. P. Schall, D.A. Weitz, F. Spaepen, Science 318, 1895 (2007)

    Article  ADS  Google Scholar 

  13. B.J. Maranzano, N.J. Wagner, J. Chem. Phys. 117, 10291 (2002)

    Article  ADS  Google Scholar 

  14. J.F. Brady, J.F. Morris, J. Fluid Mech. 348, 103 (1997)

    Article  ADS  MATH  Google Scholar 

  15. A. Sierou, J.F. Brady, J. Rheol. 46, 1031 (2002)

    Article  ADS  Google Scholar 

  16. J. Bergenholtz, J.F. Brady, M. Vicic, J. Fluid Mech. 456, 239 (2002)

    Article  ADS  MATH  Google Scholar 

  17. D.A. Drew, Annu. Rev. Fluid Mech. 15, 261 (1983)

    Article  ADS  Google Scholar 

  18. R.I. Nigmatulin, Dynamics of Multiphase Media (Hemisphere, New York, 1991)

  19. D. Lhuillier, Eur. J. Mech. B 11, 649 (1992)

    MathSciNet  MATH  Google Scholar 

  20. J.K.G. Dhont, An Introduction to the Dynamics of Colloids, Elsevier Series in Interface Science (Elsevier, 1996)

  21. L.E. Silbert, R.S. Farr, J.R. Melrose, R.C. Ball, J. Chem. Phys. 111, 4780 (1999)

    Article  ADS  Google Scholar 

  22. M.E. Cates, J.P. Wittmer, J.-Ph. Bouchaud, P. Claudin, Phys. Rev. Lett. 81, 1841 (1998)

    Article  ADS  Google Scholar 

  23. R.G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1999)

  24. N.S. Martys, D. Lootens, W. George, P. Hébraud, Phys. Rev. E 80, 031401 (2009)

    Article  ADS  Google Scholar 

  25. N.S. Martys, J. Rheol. 49, 401 (2005)

    Article  ADS  Google Scholar 

  26. W. Pan, B. Caswell, G.E. Karniadakis, Langmuir 26, 133 (2009)

    Article  MATH  Google Scholar 

  27. D.R. Foss, J.F. Brady, J. Fluid Mech. 407, 167 (2000)

    Article  ADS  MATH  Google Scholar 

  28. P. Español, M. Revenga, Phys. Rev. E 67, 026705 (2003)

    Article  ADS  Google Scholar 

  29. P.J. Hoogerbrugge, J.M.V.A. Koelman, Europhys. Lett. 19, 155 (1992)

    Article  ADS  Google Scholar 

  30. R.D. Groot, P.B. Warren, J. Chem. Phys. 107, 4423 (1997)

    Article  ADS  Google Scholar 

  31. P. Español, P. Warren, Europhys. Lett. 30, 191 (1995)

    Article  ADS  Google Scholar 

  32. J.N. Israelachvili, Intermolecular and Surface Forces (Academic Press, 1992)

  33. S. Kim, S.J. Karrila Microhydrodynamics (Butterwort-Heinemann, 1991)

  34. L.B. Chenb, C.F. Zukoski, B.J Ackerson, H.J.M. Hanley, G.C. Straty, J. Barker, C.J. Glinka, Phys. Rev. Lett. 69, 688 (1992)

    Article  ADS  Google Scholar 

  35. E. Boek, P.V. Coveney, H.N. Lekkerkerker, P. Van der Schoot, Phys. Rev. E 55, 3124 (1997)

    Article  ADS  Google Scholar 

  36. N.S. Martys, R.D. Mountain, Phys. Rev. E 59, 3733 (1999)

    Article  ADS  Google Scholar 

  37. F. Varnik, J. Baschnagel, K. Binder, J. Chem. Phys. 113, 4444 (2000)

    Article  ADS  Google Scholar 

  38. J.H. Irving, J.G. Kirkwood, J. Chem. Phys. 18, 817 (1950)

    Article  MathSciNet  ADS  Google Scholar 

  39. J.-P. Hansen, I.R. McDonald, Theory of simple liquids (Academic Press, 2006)

  40. R. Sarcia, P. Hébraud, Phys. Rev. E 72, 011402 (2005)

    Article  ADS  Google Scholar 

  41. A. Sierou, J.F. Brady, J. Rheol. 46, 1031 (2002)

    Article  ADS  Google Scholar 

  42. J.F. Brady, J.F. Morris, J. Fluid Mech. 348, 103 (1997)

    Article  ADS  MATH  Google Scholar 

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Martys, N.S., Khalil, M., George, W.L. et al. Stress propagation in a concentrated colloidal suspension under shear. Eur. Phys. J. E 35, 20 (2012). https://doi.org/10.1140/epje/i2012-12020-3

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