Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 229
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Aponte-Rivera, Christian and Zia, Roseanna N. 2016. Simulation of hydrodynamically interacting particles confined by a spherical cavity. Physical Review Fluids, Vol. 1, Issue. 2,

    Atkinson, Helen V. and Favier, Veronique 2016. Does Shear Thickening Occur in Semisolid Metals?. Metallurgical and Materials Transactions A, Vol. 47, Issue. 4, p. 1740.

    Campbell, Gregory A. Zak, Michael E. and Radhakrishnan, Jayaprakash S. 2016. Development of a predictive power law relationship for polymer composites based on newtonial carrier concentrated slurries. Polymer Composites,

    Le, Ha Thanh and Ludwig, Horst-Michael 2016. Effect of rice husk ash and other mineral admixtures on properties of self-compacting high performance concrete. Materials & Design, Vol. 89, p. 156.

    Mountrakis, L. Lorenz, E. and Hoekstra, A. G. 2016. Scaling of shear-induced diffusion and clustering in a blood-like suspension. EPL (Europhysics Letters), Vol. 114, Issue. 1, p. 14002.

    Ness, Christopher and Sun, Jin 2016. Two-scale evolution during shear reversal in dense suspensions. Physical Review E, Vol. 93, Issue. 1,

    Ness, Christopher and Sun, Jin 2016. Shear thickening regimes of dense non-Brownian suspensions. Soft Matter, Vol. 12, Issue. 3, p. 914.

    Omori, Toshihiro and Ishikawa, Takuji 2016. Upward swimming of a sperm cell in shear flow. Physical Review E, Vol. 93, Issue. 3,

    Petel, Oren E. and Hogan, James D. 2016. An investigation of shear thickening fluids using ejecta analysis techniques. International Journal of Impact Engineering, Vol. 93, p. 39.

    Satoh, Akira 2016. Encyclopedia of Surface and Colloid Science, Third Edition.

    Thøgersen, Kjetil Dabrowski, Marcin and Malthe-Sørenssen, Anders 2016. Transient cluster formation in sheared non-Brownian suspensions. Physical Review E, Vol. 93, Issue. 2,

    Vázquez-Quesada, Adolfo Bian, Xin and Ellero, Marco 2016. Three-dimensional simulations of dilute and concentrated suspensions using smoothed particle hydrodynamics. Computational Particle Mechanics, Vol. 3, Issue. 2, p. 167.

    Vázquez-Quesada, Adolfo and Ellero, Marco 2016. Rheology and microstructure of non-colloidal suspensions under shear studied with Smoothed Particle Hydrodynamics. Journal of Non-Newtonian Fluid Mechanics, Vol. 233, p. 37.

    Wu, Yue Kanna, Murugappan Suresh Liu, Chenhui Zhou, Yufeng and Chan, Casey K. 2016. Generation of Autologous Platelet-Rich Plasma by the Ultrasonic Standing Waves. IEEE Transactions on Biomedical Engineering, Vol. 63, Issue. 8, p. 1642.

    Anagnostopoulos, Costas A. 2015. Effect of superplasticiser type on the properties of cement grouts. Advances in Cement Research, Vol. 27, Issue. 5, p. 297.

    Ding, Yajun and Mittal, Jeetain 2015. Equilibrium and nonequilibrium dynamics of soft sphere fluids. Soft Matter, Vol. 11, Issue. 26, p. 5274.

    Gallier, Stany Lemaire, Elisabeth Peters, François and Lobry, Laurent 2015. Percolation in suspensions and de Gennes conjectures. Physical Review E, Vol. 92, Issue. 2,

    Haris, A. Lee, H.P. Tay, T.E. and Tan, V.B.C. 2015. Shear thickening fluid impregnated ballistic fabric composites for shock wave mitigation. International Journal of Impact Engineering, Vol. 80, p. 143.

    Huang, Wenchao Wu, Yanzhe Qiu, Ling Dong, Cunku Ding, Jie and Li, Dan 2015. Tuning Rheological Performance of Silica Concentrated Shear Thickening Fluid by Using Graphene Oxide. Advances in Condensed Matter Physics, Vol. 2015, p. 1.

    Kaldasch, Joachim Senge, Bernhard and Laven, Jozua 2015. Shear Thickening in Concentrated Soft Sphere Colloidal Suspensions: A Shear Induced Phase Transition. Journal of Thermodynamics, Vol. 2015, p. 1.

  • Journal of Fluid Mechanics, Volume 155
  • June 1985, pp. 105-129

The rheology of concentrated suspensions of spheres in simple shear flow by numerical simulation

  • John F. Brady (a1) and Georges Bossis (a2)
  • DOI:
  • Published online: 01 April 2006

The newly developed simulation method known as Stokesian dynamics is used to investigate the rheological behaviour of concentrated suspensions. Both the detailed microstructure (e.g. pair-distribution function) and the macroscopic properties are determined for a suspension of identical rigid spherical particles in a simple shear flow. The suspended particles interact through both hydrodynamic and non-hydrodynamic forces. For suspensions with purely hydrodynamic forces, the increase in the suspension viscosity with volume fraction ϕ is shown to be caused by particle clustering. The cluster formation results from the lubrication forces, and the simulations of a monolayer of spheres show a scaling law for the cluster size: lc ∼ [1 − (ϕ/ϕm)½]−1, where ϕm is the maximum volume fraction that can shear homogeneously. The simulation results suggest that the suspension viscosity becomes infinite at the percolation-like threshold ϕm owing to the formation of an infinite cluster. The predicted simulation viscosities are in very good agreement with experiment. A suspension with short-range repulsive interparticle forces is also studied, and is seen to have a non-Newtonian rheology. Normal-stress differences arise owing to the anisotropic local structure created by the interparticle forces. The repulsive forces also reduce particle clustering, and as a result the suspension is shear-thickening.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *