An instability mechanism for particulate pipe flow

Anthony Rouquier, Alban Potherat, Chris Pringle

Research output: Contribution to journalArticle

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.

LanguageEnglish
Pages247-265
Number of pages19
JournalJournal of Fluid Mechanics
Volume870
Early online date8 May 2019
DOIs
Publication statusE-pub ahead of print - 8 May 2019

Fingerprint

pipe flow
Pipe flow
particulates
Fluids
fluids
Linear stability analysis
drag
Drag
Turbulence
velocity distribution
turbulence
routes
continuums
radii
approximation

Bibliographical note

Copyright © 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.

Keywords

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

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

An instability mechanism for particulate pipe flow. / Rouquier, Anthony; Potherat, Alban; Pringle, Chris.

In: Journal of Fluid Mechanics, Vol. 870, 10.07.2019, p. 247-265.

Research output: Contribution to journalArticle

@article{9322a8c56693424d884b860d83a09772,
title = "An instability mechanism for particulate pipe flow",
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.",
keywords = "Particulate flow, shear flow, instability, Key wordsparticle/fluid flow",
author = "Anthony Rouquier and Alban Potherat and Chris Pringle",
note = "Copyright {\circledC} 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.",
year = "2019",
month = "5",
day = "8",
doi = "10.1017/jfm.2019.264",
language = "English",
volume = "870",
pages = "247--265",
journal = "Journal of Fluid Mechanics",
issn = "0022-1120",
publisher = "Cambridge University Press",

}

TY - JOUR

T1 - An instability mechanism for particulate pipe flow

AU - Rouquier, Anthony

AU - Potherat, Alban

AU - Pringle, Chris

N1 - Copyright © 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.

PY - 2019/5/8

Y1 - 2019/5/8

N2 - 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.

AB - 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.

KW - Particulate flow

KW - shear flow

KW - instability

KW - Key wordsparticle/fluid flow

UR - http://www.scopus.com/inward/record.url?scp=85065465270&partnerID=8YFLogxK

U2 - 10.1017/jfm.2019.264

DO - 10.1017/jfm.2019.264

M3 - Article

VL - 870

SP - 247

EP - 265

JO - Journal of Fluid Mechanics

T2 - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -