Skip to main content

The fractal concept in the rheology of concentrated suspensions

  • Conference paper
Progress and Trends in Rheology II

Abstract

A theoretical model is proposed to describe the non-Newtonian behaviour of suspensions of aggregated particles. A self-consistent field approximation is used to estimate the mean radius of flowing fractal clusters in a simple shear field. A rheological law is then proposed in which four fixed physical parameters are involved. The variation of the fractal dimension of clusters with the flow is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Einstein A (1906/1911) Ann Phys Leipzig 19:289; 34:591

    Google Scholar 

  2. Batchelor GK (1977) J Fluid Mech 83: 97

    Article  MathSciNet  ADS  Google Scholar 

  3. De Gennes PG (1979) J Physique 40: 783

    Article  Google Scholar 

  4. Dixmier M (1978) J Physique 39: 873

    Article  Google Scholar 

  5. Landau, Familiy F (eds) (1984) Kinetics of aggregation and gelation, North Holland

    Google Scholar 

  6. Jullien R, Kolb M, Botet R (1984) J Phys Lett 45: L-211

    Article  Google Scholar 

  7. Mills P (1985) J Phys Lett 46: L301 - L309

    Article  ADS  Google Scholar 

  8. Mills P, Snabre P, Dufaux J, Quemada D (1981) PCH Madrid

    Google Scholar 

  9. Maron SH, Levy-Pascal A (1955) J Colloid Sci 10: 494

    Article  Google Scholar 

  10. Krieger IM (1972) Adv Colloid Interface Sci 111

    Google Scholar 

  11. de Kruif CG, van Iersel EMF, Vrij A, Russel WB (1985) J Chem Phys 83: 4717

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mills, P., Snabre, P. (1988). The fractal concept in the rheology of concentrated suspensions. In: Giesekus, H., Hibberd, M.F. (eds) Progress and Trends in Rheology II. Steinkopff, Heidelberg. https://doi.org/10.1007/978-3-642-49337-9_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-49337-9_26

  • Publisher Name: Steinkopff, Heidelberg

  • Print ISBN: 978-3-642-49339-3

  • Online ISBN: 978-3-642-49337-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics