Unified theory of inertial granular flows and non-Brownian suspensions

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

    Research output: Contribution to journalArticlepeer-review


    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 - Statistical, Nonlinear, and Soft Matter Physics
    Issue number6
    StatePublished - Jun 9 2015

    ASJC Scopus subject areas

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


    Dive into the research topics of 'Unified theory of inertial granular flows and non-Brownian suspensions'. Together they form a unique fingerprint.

    Cite this