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Viscosity of Rigid and Breakable Aggregate Suspensions Stokesian Dynamics for Rigid Aggregates

  • R. SetoEmail author
  • R. Botet
  • H. Briesen
Conference paper
Part of the Progress in Colloid and Polymer Science book series (PROGCOLLOID, volume 139)

Abstract

Suspensions of rigid aggregates have been investigated by Stokesian dynamics. In our recent work (Seto R, Botet R, Briesen H. Phys Rev E 84:041405, 2011), the motions of freely suspended aggregates in shear flows were determined by considering the force and torque balance, and forces and moments acting on the contact points within aggregates were also evaluated. Here, by comparing the obtained results with a bond strength between particles, the sustainable sizes of the aggregates under shear flows have been estimated, which leads to a viscosity-shear rate relation. Our method allows us to see not only the power-law shear thinning for fractal aggregates but also some deviations due to the finite-size effects.

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References

  1. 1.
    Sonntag RC, Russel WB (1986) J Colloid Interface Sci 113(2):399CrossRefGoogle Scholar
  2. 2.
    Serra T, Casamitjana X (1998) J Colloid Interface Sci 206:505CrossRefGoogle Scholar
  3. 3.
    Selomulya C, Amal R, Bushell G, Waite TD (2001) J Colloid Interface Sci 236:67CrossRefGoogle Scholar
  4. 4.
    Selomulya C, Bushell G, Amal R, Waite TD (2004) Int J Miner Process 73(2–4):295CrossRefGoogle Scholar
  5. 5.
    Tolpekin VA, Duits MHG, van den Ende D, Mellema J (2004) Langmuir 20:2614CrossRefGoogle Scholar
  6. 6.
    Soos M, Sefcik J, Morbidelli M (2006) Chem Eng Sci 61(8):2349CrossRefGoogle Scholar
  7. 7.
    Soos M, Moussa AS, Ehrl L, Sefcik J, Wu H, Morbidelli M (2008) J Colloid Interface Sci 319:577CrossRefGoogle Scholar
  8. 8.
    Ehrl L, Soos M, Morbidelli M (2008) Langmuir 24:3070CrossRefGoogle Scholar
  9. 9.
    Zaccone A, Soos M, Lattuada M, Wu H, Babler MU, Morbidelli M (2009) Phys Rev E 79:061401CrossRefGoogle Scholar
  10. 10.
    Frappier G, Lartiges BS, Skali-Lami S (2010) Langmuir 26(13):10475CrossRefGoogle Scholar
  11. 11.
    Harshe YM, Lattuada M, Soos M (2011) Langmuir 27:5739CrossRefGoogle Scholar
  12. 12.
    Bossis G, Brady JF (1989) J Chem Phys 91:1866CrossRefGoogle Scholar
  13. 13.
    Phung TN, Brady JF (1996) J Fluid Mech 313:181CrossRefGoogle Scholar
  14. 14.
    Wagner NJ, Brady JF (2009) Phys Today 62:27CrossRefGoogle Scholar
  15. 15.
    Becker V, Briesen H (2008) Phys Rev E 78:061404CrossRefGoogle Scholar
  16. 16.
    Becker V, Schlauch E, Behr M, Briesen H (2009) J Colloid Interface Sci 339:362CrossRefGoogle Scholar
  17. 17.
    Becker V, Briesen H (2010) J Colloid Interface Sci 346:32CrossRefGoogle Scholar
  18. 18.
    Wessel R, Ball RC (1992) Phys Rev A 46(6):3008CrossRefGoogle Scholar
  19. 19.
    Brady JF, Bossis G (1988) Ann Rev Fluid Mech 20:111CrossRefGoogle Scholar
  20. 20.
    Durlofsky L, Brady JF, Bossis G (1987) J Fluid Mech 180:21CrossRefGoogle Scholar
  21. 21.
    Ichiki K (2002) J Fluid Mech 452:231CrossRefGoogle Scholar
  22. 22.
    Seto R, Botet R, Briesen H (2011) Phys Rev E 84:041405CrossRefGoogle Scholar
  23. 23.
    Batchelor GK (1970) J Fluid Mech 41(3):545CrossRefGoogle Scholar
  24. 24.
    Johnson KL (1985) Contact mechanics. Cambridge University Press, CambridgeGoogle Scholar
  25. 25.
    Dominik C, Tielens AGGM (1997) Astrophys J 480:647CrossRefGoogle Scholar
  26. 26.
    Gastaldi A, Vanni M (2011) J Colloid Interface Sci 357:18CrossRefGoogle Scholar
  27. 27.
    Ducker WA, Senden TJ, Pashley RM (1991) Nature 353:239CrossRefGoogle Scholar
  28. 28.
    Heim LO, Blum J, Preuss M, Butt HJ (1999) Phys Rev Lett 83(16):3328CrossRefGoogle Scholar
  29. 29.
    Ecke S, Raiteri R, Bonaccurso E, Reiner C, Deiseroth HJ, Butt HJ (2001) Rev Sci Instrum 72(11):4164–4170Google Scholar
  30. 30.
    Pantina JP, Furst EM (2004) Langmuir 20(10):3940CrossRefGoogle Scholar
  31. 31.
    Pantina JP, Furst EM (2005) Phys Rev Lett 94:138301CrossRefGoogle Scholar
  32. 32.
    Harshe YM, Ehrl L, Lattuada M (2010) J Colloid Interface Sci 352:87CrossRefGoogle Scholar
  33. 33.
    Bossis G, Meunier A, Brady JF (1991) J Chem Phys 94(7):5064CrossRefGoogle Scholar
  34. 34.
    Jullien R, Botet R (1987) Aggregation and fractal aggregates. World Scientific, SingaporeGoogle Scholar
  35. 35.
    Ichiki K (2011) Ryuon – simulation library for Stokesian dynamics. URL http://ryuon.sourceforge.net
  36. 36.
    Doi M, Chen D (1989) J Chem Phys 90(10):5271CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Process Systems EngineeringTechnische Universität MünchenFreisingGermany
  2. 2.Laboratoire de Physique des SolidesUniversité Paris-Sud, UMR8502OrsayFrance

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