An instability mechanism for particulate pipe flow

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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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