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An instability mechanism for particulate pipe flow

Published online by Cambridge University Press:  08 May 2019

Anthony Rouquier Open the ORCID record for Anthony Rouquier [Opens in a new window] ,
Alban Pothérat Open the ORCID record for Alban Pothérat [Opens in a new window]  and
Chris C. T. Pringle Open the ORCID record for Chris C. T. Pringle [Opens in a new window]
Anthony Rouquier*
Affiliation:
Fluid and Complex Systems Research Centre, Coventry University, Priory Street, Coventry, CV1 5FB, UK
Alban Pothérat
Affiliation:
Fluid and Complex Systems Research Centre, Coventry University, Priory Street, Coventry, CV1 5FB, UK
Chris C. T. Pringle
Affiliation:
Fluid and Complex Systems Research Centre, Coventry University, Priory Street, Coventry, CV1 5FB, UK
*
†Email address for correspondence: anthonyrouquier@gmail.com
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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. Fluid Mech., vol. 13 (01), 1962, pp. 120–128). We extend previous analysis in a channel (Klinkenberg et al., Phys. Fluids, vol. 23 (6), 2011, 064110) to allow for the initial distribution of particles to be inhomogeneous in a similar manner to Boronin (Fluid Dyn., vol. 47 (3), 2012, pp. 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.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 870 , 10 July 2019 , pp. 247 - 265
Copyright
© 2019 Cambridge University Press 

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