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Nonequilibrium statistical mechanics of concentrated colloidal dispersions: Hard spheres in weak flows with many-body thermodynamic interactions

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  • Wagner, Norman J.
  • Russel, William B.

Abstract

A theory is presented which relates the colloidal interactions to the microstructure of a Brownian suspension under weak shear and then to the bulk stresses via a new technique for renormalizing the thermodynamic contribution. Further derivations of the interparticle stress provide an independent test of the accuracy of requisite closures. The results are very sensitive to the coupling between equilibrium and nonequilibrium distribution functions in the three-body closures; a closure in the spirit of the Percus-Yevick equation provides the most consistent results while superposition predicts aphysical results. Comparison with the available measurements on hard-sphere systems indicates that the Brownian stresses, renormalized into a hydrodynamic function, are responsible for the divergence in the low shear limiting viscosity in dense suspensions. However, pairwise additive hydrodynamics adequately predict neither the high frequency limiting complex viscosity nor the steady shear viscosity in dense suspensions.

Suggested Citation

  • Wagner, Norman J. & Russel, William B., 1989. "Nonequilibrium statistical mechanics of concentrated colloidal dispersions: Hard spheres in weak flows with many-body thermodynamic interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 155(3), pages 475-518.
    • Handle: RePEc:eee:phsmap:v:155:y:1989:i:3:p:475-518
    DOI: 10.1016/0378-4371(89)90003-4
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