An instability mechanism for particulate pipe flow

Anthony Rouquier, Alban Potherat, Chris Pringle

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    1 Citation (Scopus)
    13 Downloads (Pure)

    Abstract

    We present a linear stability analysis for a simple model of particle-laden pipe flow. The model consists of a continuum approximation for the particles, two-way coupled to the fluid velocity field via Stokes drag (Saffman, J.A Fluid Mech., vol.A 13 (01), 1962, pp.A 120-128). We extend previous analysis in a channel (Klinkenberg etA al., Phys. Fluids, vol.A 23 (6), 2011, 064110) to allow for the initial distribution of particles to be inhomogeneous in a similar manner to Boronin (Fluid Dyn., vol.A 47 (3), 2012, pp.A 351-363) and in particular consider the effect of allowing the particles to be preferentially located around one radius in accordance with experimental observations. This simple modification of the problem is enough to alter the stability properties of the flow, and in particular can lead to a linear instability offering an alternative route to turbulence within this problem.

    Original languageEnglish
    Pages (from-to)247-265
    Number of pages19
    JournalJournal of Fluid Mechanics
    Volume870
    Early online date8 May 2019
    DOIs
    Publication statusPublished - 10 Jul 2019

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    Keywords

    • Particulate flow
    • shear flow
    • instability
    • Key wordsparticle/fluid flow

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Mechanics of Materials
    • Mechanical Engineering

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