An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel

Tirion Gruffudd Roberts; Simon Cox

doi:10.1016/j.jnnfm.2020.104278

An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel

Tirion Gruffudd Roberts, Simon Cox

Adran Mathemateg

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

21 Dyfyniadau (Scopus)

313 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

We derive an expression for the velocity profile of a pressure-driven yield-stress fluid flowing around a two-dimensional concentric annulus. This result allows the prediction of the effects of channel curvature on the pressure gradient required to initiate flow for given yield stress, and for the width of the plug region and the flux through the channel at different curvatures. We use it to validate numerical simulations of the flow from a straight channel into a curved channel which show how the fluid first yields everywhere before reaching the predicted velocity profile.

Iaith wreiddiol	Saesneg
Rhif yr erthygl	104278
Tudalennau (o-i)	1-10
Nifer y tudalennau	10
Cyfnodolyn	Journal of Non-Newtonian Fluid Mechanics
Cyfrol	280
Dyddiad ar-lein cynnar	23 Maw 2020
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/j.jnnfm.2020.104278
Statws	Cyhoeddwyd - 01 Meh 2020

Mynediad at Ddogfen

10.1016/j.jnnfm.2020.104278Trwydded: CC BY-NC-ND

1-s2.0-S037702572030046X-mainFersiwn derfynol wedi’i chyhoeddi, 3.66 MBTrwydded: CC BY-NC-ND

https://arxiv.org/abs/2002.10459Trwydded: CC BY

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

Dolen i’r cyhoeddiad yn Scopus

Simon Cox
- sxcaber.acuk
- Adran Mathemateg - Professor
Unigolyn: Dysgu ac Ymchwil

Data for "An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel"
Cox, S. & Roberts, T. G., Prifysgol Aberystwyth | Aberystwyth University, 12 Mai 2020
Dangosydd eitem ddigidol (DOI): 10.20391/2cfd7b3f-27e6-45da-84b4-2313cb7e8ae1
Set ddata

Ffeil

1 Wedi Gorffen

Flow of Gas-Liquid Foams in Narrow Complex Geometries
Cox, S. (Prif Ymchwilydd)
Engineering & Physical Sciences Research Council
01 Ebr 2016 → 31 Maw 2019
Prosiect: Ymchwil a ariannwyd yn allanol

Dyfynnu hyn

@article{19619bfeb7fa4149a5ed9a607566bf8b,

title = "An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel",

abstract = "We derive an expression for the velocity profile of a pressure-driven yield-stress fluid flowing around a two-dimensional concentric annulus. This result allows the prediction of the effects of channel curvature on the pressure gradient required to initiate flow for given yield stress, and for the width of the plug region and the flux through the channel at different curvatures. We use it to validate numerical simulations of the flow from a straight channel into a curved channel which show how the fluid first yields everywhere before reaching the predicted velocity profile.",

keywords = "Bingham fluid, Annulus, Poiseuille flow",

author = "Roberts, {Tirion Gruffudd} and Simon Cox",

note = "Funding Information: We acknowledge financial support from the UK Engineering and Physical Sciences Research Council (EP/N002326/1) and a Ph.D. studentship from BTG. We thank the (anonymous) reviewers for suggestions which improved the manuscript. Publisher Copyright: {\textcopyright} 2020 The Authors",

year = "2020",

month = jun,

day = "1",

doi = "10.1016/j.jnnfm.2020.104278",

language = "English",

volume = "280",

pages = "1--10",

journal = "Journal of Non-Newtonian Fluid Mechanics",

issn = "0377-0257",

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TY - JOUR

T1 - An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel

AU - Roberts, Tirion Gruffudd

AU - Cox, Simon

N1 - Funding Information: We acknowledge financial support from the UK Engineering and Physical Sciences Research Council (EP/N002326/1) and a Ph.D. studentship from BTG. We thank the (anonymous) reviewers for suggestions which improved the manuscript. Publisher Copyright: © 2020 The Authors

PY - 2020/6/1

Y1 - 2020/6/1

N2 - We derive an expression for the velocity profile of a pressure-driven yield-stress fluid flowing around a two-dimensional concentric annulus. This result allows the prediction of the effects of channel curvature on the pressure gradient required to initiate flow for given yield stress, and for the width of the plug region and the flux through the channel at different curvatures. We use it to validate numerical simulations of the flow from a straight channel into a curved channel which show how the fluid first yields everywhere before reaching the predicted velocity profile.

AB - We derive an expression for the velocity profile of a pressure-driven yield-stress fluid flowing around a two-dimensional concentric annulus. This result allows the prediction of the effects of channel curvature on the pressure gradient required to initiate flow for given yield stress, and for the width of the plug region and the flux through the channel at different curvatures. We use it to validate numerical simulations of the flow from a straight channel into a curved channel which show how the fluid first yields everywhere before reaching the predicted velocity profile.

KW - Bingham fluid

KW - Annulus

KW - Poiseuille flow

UR - http://www.scopus.com/inward/record.url?scp=85083300239&partnerID=8YFLogxK

U2 - 10.1016/j.jnnfm.2020.104278

DO - 10.1016/j.jnnfm.2020.104278

M3 - Article

SN - 0377-0257

VL - 280

SP - 1

EP - 10

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

M1 - 104278

ER -

An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ffeiliau eraill a chysylltiadau

Ôl bys

Proffiliau

Simon Cox

Setiau Data

Data for "An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel"

Prosiectau

Flow of Gas-Liquid Foams in Narrow Complex Geometries

Dyfynnu hyn