Unified theory of inertial granular flows and non-Brownian suspensions

E. Degiuli, G. Düring, E. Lerner, M. Wyart

    Research output: Contribution to journalArticle

    Abstract

    Rheological properties of dense flows of hard particles are singular as one approaches the jamming threshold where flow ceases both for aerial granular flows dominated by inertia and for over-damped suspensions. Concomitantly, the length scale characterizing velocity correlations appears to diverge at jamming. Here we introduce a theoretical framework that proposes a tentative, but potentially complete, scaling description of stationary flows. Our analysis, which focuses on frictionless particles, applies both to suspensions and inertial flows of hard particles. We compare our predictions with the empirical literature, as well as with novel numerical data. Overall, we find a very good agreement between theory and observations, except for frictional inertial flows whose scaling properties clearly differ from frictionless systems. For overdamped flows, more observations are needed to decide if friction is a relevant perturbation. Our analysis makes several new predictions on microscopic dynamical quantities that should be accessible experimentally.

    Original languageEnglish (US)
    Article number062206
    JournalPhysical Review E
    Volume91
    Issue number6
    DOIs
    StatePublished - Jun 9 2015

    Fingerprint

    Granular Flow
    Jamming
    jamming
    Scaling
    Prediction
    scaling
    Diverge
    Damped
    Length Scale
    Inertia
    predictions
    Friction
    inertia
    friction
    Perturbation
    perturbation
    thresholds

    ASJC Scopus subject areas

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

    Cite this

    Unified theory of inertial granular flows and non-Brownian suspensions. / Degiuli, E.; Düring, G.; Lerner, E.; Wyart, M.

    In: Physical Review E, Vol. 91, No. 6, 062206, 09.06.2015.

    Research output: Contribution to journalArticle

    Degiuli, E. ; Düring, G. ; Lerner, E. ; Wyart, M. / Unified theory of inertial granular flows and non-Brownian suspensions. In: Physical Review E. 2015 ; Vol. 91, No. 6.
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