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 [formula presented] 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 [formula presented] is correlated over a wide range of volume fractions by the Doolittle and Adam-Gibbs equations, indicating an exponential divergence at [formula presented] 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)
    Number of pages1
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume65
    Issue number4
    DOIs
    StatePublished - Jan 1 2002

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    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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