Skip to main content
Log in

Rheology of concentrated suspensions containing mixtures of spheres and fibres

  • Original Contribution
  • Published:
Rheologica Acta Aims and scope Submit manuscript

Abstract

Optimising flow properties of concentrated suspensions is an important issue common for many industries. The rheology of concentrated suspensions has therefore been studied intensively both experimentally and theoretically. Most studies have focused on monodisperse and polydisperse suspensions of either spheres or fibres. In practice, most suspensions contain particles that are polydisperse both in size and shape. A mixing rule for such systems is expected to be a powerful tool for engineers and product designers. Therefore in this work, suspensions of spheres, fibres and mixtures thereof were characterised using rotational shear rheometry and in-line image analyses. Thereby, total solids volume concentration and fibre fraction was varied. Results from transient and steady-state shear rheometry are discussed with respect to concentration, fibre fraction, and shear induced microstructure. Experimentally obtained viscosity data were accurately fitted using the model proposed by Farris (T Soc Rheol 12:281, 1968) for mixtures of monodisperse non-interacting spheres of different sizes.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Barbosa SE, Ercoli DR, Bibbó MA, Kenny JM (1994) Rheology of short-fibre composites: a systematic approach. Compos Str 27:83–91

    Google Scholar 

  • Barnes HA (1989) Shear-thickening (“dilatancy”) in suspensions of nonaggregating solid particles dispersed in Newtonian liquids. J Rheol 33:329–366

    Google Scholar 

  • Barnes HA (1997) Thixotropy—a review. J Non-Newtonian Fluid Mech 70:1–33

    Google Scholar 

  • Buscall R (1991) Effect of long-range repulsive forces on the viscosity of concentrated lattices: comparison of experimental data with an effective hard sphere model. J Chem Soc Faraday Trans 87:1365–1370

    Google Scholar 

  • Chang C, Powell RL (1994) Effect of particle size distribution on the rheology of concentrated bimodal suspensions. J Rheol 38:85–98

    Google Scholar 

  • Dabak T, Yucel O (1986) Shear viscosity behaviour of highly concentrated suspensions at low and high shear rates. Rheol Acta 25:527–533

    Google Scholar 

  • Einstein A (1906) Eine neue Bestimmung der Moleküldimensionen. Ann Phys 19:289–306

    Google Scholar 

  • Eischen J-C, Windhab EJ (2002) Viscosity of cocoa and chocolate products. Appl Rheol 12:32–34

    Google Scholar 

  • Farris RJ (1968) Prediction of the viscosity of multimodal suspensions from unimodal viscosity data. Trans Soc Rheol 12:281–301

    Google Scholar 

  • Frankel NA, Acrivos A (1967) On the viscosity of a concentrated suspension of solid spheres. Chem Eng Sci 22:847–853

    Google Scholar 

  • Frith WJ, Mewis J, Strivens TA (1987) Rheology of concentrated suspensions: experimental investigations. Powder Technol 51:27–34

    Google Scholar 

  • Ganani E, Powell RL (1985) Suspensions of rodlike particles—literature review and data correlations. J Compos Mater 19:194–215

    Google Scholar 

  • Gonderet P, Petit L (1997) Dynamic viscosity of macroscopic suspensions of bimodal sized solid spheres. J Rheol 41:1261–1274

    Google Scholar 

  • Krieger IM (1972) Rheology of monodisperse lattices. Adv Colloid Int Sci 3:111–136

    Google Scholar 

  • Krieger IM, Dougherty TJ (1959) A mechanism for non-Newtonian flow in suspensions of rigid spheres. Trans Soc Rheol 3:137–152

    Google Scholar 

  • Metzner AB (1985) Rheology of suspensions in polymeric liquids. J Rheol 29:739–775

    Google Scholar 

  • Mewis J (1979) Thixotropy—a general review. J Non-Newtonian Fluid Mech 6:1–20

    Google Scholar 

  • Mewis J, Macosco CW (1993) Suspension rheology. In: Macosco CW (ed) Rheology: principles, measurements and applications. VCH Publishers, New York, pp 425–474

    Google Scholar 

  • Mooney M (1951) The viscosity of a concentrated suspension of spherical particles. J Colloid Sci 6:162–170

    Google Scholar 

  • Petrich MP, Koch DL, Cohen C (2000) An experimental determination of the stress-microstructure relationship in semi-concentrated fiber suspensions. J Non-Newtonian Fluid Mech 95:101–133

    Google Scholar 

  • Petrie CJS (1999) The rheology of fibre suspensions. J Non-Newtonian Fluid Mech 87:369–402

    Google Scholar 

  • Probstein RF, Sengun MZ, Tseng T-C (1994) Bimodal model of concentrated suspension viscosity for distributed particle sizes. J Rheol 38:811–829

    Google Scholar 

  • Qin K, Zaman AA (2003) Viscosity of concentrated colloidal suspensions: comparison of bidisperse models. J Colloid Int Sci 266:461–467

    Google Scholar 

  • Schmidt M, Münstedt H (2002) Rheological behaviour of concentrated monodisperse suspensions as a function of preshear conditions and temperature: an experimental study. Rheol Acta 41:193–204

    Google Scholar 

  • Stover CA, Koch DL, Cohen C (1992) Observation of fibre orientation in simple shear flow of semi-dilute suspensions. J Fluid Mech 238:277–296

    Google Scholar 

  • Sudduth RD (1993) A new method to predict the maximum packing fraction and the viscosity of solutions with a size distribution of suspended particles. J Appl Polym Sci 48:37–55

    Google Scholar 

  • Tsai SC, Botts D, Plouff J (1992) Effects of particle properties on the rheology of concentrated noncolloidal suspensions. J Rheol 36:1291–1304

    Google Scholar 

  • Villagran FV, McCabe GM, Wong VYL (1996) Process for making reduced fat nut spreads US Patent 5,490,999. Procter & Gamble Co, Cincinnati, OH, USA

  • Windhab EJ (2000) Fluid immobilization—a structure-related key mechanism for the viscous behavior of concentrated suspension systems. Appl Rheol 10:134–139

    Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge Thermo Haake GmbH, Karlsruhe/Germany for providing Rheoscope 1 to acquire data for in-line image analysis. Financial support by the Commission for Technology and Innovation CTI, Bern/Switzerland is acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Peter Fischer.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Marti, I., Höfler, O., Fischer, P. et al. Rheology of concentrated suspensions containing mixtures of spheres and fibres. Rheol Acta 44, 502–512 (2005). https://doi.org/10.1007/s00397-005-0432-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00397-005-0432-9

Keywords

Navigation