Nature of the divergence in low shear viscosity of colloidal hard-sphere dispersions

Zhengdong Cheng, Jixiang Zhu, Paul M. Chaikin, See Eng Phan, William B. Russel

    Research output: Contribution to journalArticle

    Abstract

    Measurements of the low-shear viscosity η 0 with a Zimm-Crothers viscometer for dispersions of colloidal hard spheres are reported as a function of volume fraction φ up to 0.56. Nonequilibrium theories based on solutions to the two-particle Smoluchoski equation or ideal mode coupling approximations do not capture the divergence. However, the nonhydrodynamic contribution to the relative viscosity Δ η 0 is correlated over a wide range of volume fractions by the Doolittle and Adam-Gibbs equations, indicating an exponential divergence at φ m = 0.625±0.015. The data extend the previously proposed master curve, providing a test for improved theories for the many-body thermodynamic and hydrodynamic interactions that determine the viscosity of hard-sphere dispersions.

    Original languageEnglish (US)
    Article number041405
    JournalPhysical Review E
    Volume65
    Issue number4
    DOIs
    StatePublished - Apr 2002

    Fingerprint

    Shear Viscosity
    Hard Spheres
    Volume Fraction
    Divergence
    Viscosity
    divergence
    viscosity
    shear
    Hydrodynamic Interaction
    Mode Coupling
    Non-equilibrium
    Gibbs equations
    Thermodynamics
    viscometers
    coupled modes
    Curve
    Approximation
    hydrodynamics
    Range of data
    thermodynamics

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Mathematical Physics

    Cite this

    Nature of the divergence in low shear viscosity of colloidal hard-sphere dispersions. / Cheng, Zhengdong; Zhu, Jixiang; Chaikin, Paul M.; Phan, See Eng; Russel, William B.

    In: Physical Review E, Vol. 65, No. 4, 041405, 04.2002.

    Research output: Contribution to journalArticle

    Cheng, Zhengdong ; Zhu, Jixiang ; Chaikin, Paul M. ; Phan, See Eng ; Russel, William B. / Nature of the divergence in low shear viscosity of colloidal hard-sphere dispersions. In: Physical Review E. 2002 ; Vol. 65, No. 4.
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