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.
|Number of pages||19|
|Journal||Journal of Fluid Mechanics|
|Early online date||8 May 2019|
|Publication status||Published - 10 Jul 2019|
Bibliographical noteCopyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.
- Particulate flow
- shear flow
- Key wordsparticle/fluid flow
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
FingerprintDive into the research topics of 'An instability mechanism for particulate pipe flow'. Together they form a unique fingerprint.
- Research Centre for Fluid and Complex Systems - Associate Professor Research
Person: Teaching and Research