Predicting yielding in the pressure-driven flow of a Bingham fluid in a serpentine channel

T. G. Roberts; S. J. Cox

doi:10.1016/j.jnnfm.2023.105131

Predicting yielding in the pressure-driven flow of a Bingham fluid in a serpentine channel

T. G. Roberts, S. J. Cox^*

^*Awdur cyfatebol y gwaith hwn

Adran Mathemateg

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

2 Dyfyniadau (Scopus)

9 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

The use of foams in applications such as enhanced oil recovery and varicose vein sclerotherapy has led to renewed interest in their flow as yield stress fluids. In each application one seeks to determine the ability of a foam to displace another fluid from a tortuous channel. We simulate the pressure-driven flow of a Bingham fluid through a serpentine two-dimensional channel to predict the effects of varying the channel geometry on the size and location of the unyielded regions in which the fluid is either stationary or moving as a plug. We discuss the implications for the effective displacement of blood in varicose vein sclerotherapy.

Iaith wreiddiol	Saesneg
Rhif yr erthygl	105131
Nifer y tudalennau	11
Cyfnodolyn	Journal of Non-Newtonian Fluid Mechanics
Cyfrol	322
Dyddiad ar-lein cynnar	10 Hyd 2023
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1016/j.jnnfm.2023.105131 https://doi.org/10.1016/j.jnnfm.2023.105131
Statws	Cyhoeddwyd - 31 Rhag 2023

Mynediad at Ddogfen

10.1016/j.jnnfm.2023.105131Trwydded: CC BY
10.1016/j.jnnfm.2023.105131

roberts_cox_JNNFM_reresubmitLlawysgrif awdur wedi’i dderbyn, 2.17 MBTrwydded: CC BY
roberts_cox_offprintFersiwn derfynol wedi’i chyhoeddi, 4.47 MBTrwydded: CC BY

http://dx.doi.org/10.2139/ssrn.4314572Trwydded: CC BY

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

Dolen i’r cyhoeddiad yn Scopus

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

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title = "Predicting yielding in the pressure-driven flow of a Bingham fluid in a serpentine channel",

abstract = "The use of foams in applications such as enhanced oil recovery and varicose vein sclerotherapy has led to renewed interest in their flow as yield stress fluids. In each application one seeks to determine the ability of a foam to displace another fluid from a tortuous channel. We simulate the pressure-driven flow of a Bingham fluid through a serpentine two-dimensional channel to predict the effects of varying the channel geometry on the size and location of the unyielded regions in which the fluid is either stationary or moving as a plug. We discuss the implications for the effective displacement of blood in varicose vein sclerotherapy.",

keywords = "Finite element method, Foam sclerotherapy, Serpentine channel, Yield stress fluid",

author = "Roberts, {T. G.} and Cox, {S. J.}",

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 . Publisher Copyright: {\textcopyright} 2023 The Author(s)",

year = "2023",

month = dec,

day = "31",

doi = "10.1016/j.jnnfm.2023.105131",

language = "English",

volume = "322",

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

issn = "0377-0257",

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T1 - Predicting yielding in the pressure-driven flow of a Bingham fluid in a serpentine channel

AU - Roberts, T. G.

AU - Cox, S. J.

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 . Publisher Copyright: © 2023 The Author(s)

PY - 2023/12/31

Y1 - 2023/12/31

N2 - The use of foams in applications such as enhanced oil recovery and varicose vein sclerotherapy has led to renewed interest in their flow as yield stress fluids. In each application one seeks to determine the ability of a foam to displace another fluid from a tortuous channel. We simulate the pressure-driven flow of a Bingham fluid through a serpentine two-dimensional channel to predict the effects of varying the channel geometry on the size and location of the unyielded regions in which the fluid is either stationary or moving as a plug. We discuss the implications for the effective displacement of blood in varicose vein sclerotherapy.

AB - The use of foams in applications such as enhanced oil recovery and varicose vein sclerotherapy has led to renewed interest in their flow as yield stress fluids. In each application one seeks to determine the ability of a foam to displace another fluid from a tortuous channel. We simulate the pressure-driven flow of a Bingham fluid through a serpentine two-dimensional channel to predict the effects of varying the channel geometry on the size and location of the unyielded regions in which the fluid is either stationary or moving as a plug. We discuss the implications for the effective displacement of blood in varicose vein sclerotherapy.

KW - Finite element method

KW - Foam sclerotherapy

KW - Serpentine channel

KW - Yield stress fluid

UR - http://www.scopus.com/inward/record.url?scp=85174552062&partnerID=8YFLogxK

U2 - 10.1016/j.jnnfm.2023.105131

DO - 10.1016/j.jnnfm.2023.105131

M3 - Article

AN - SCOPUS:85174552062

SN - 0377-0257

VL - 322

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics

M1 - 105131

ER -

Predicting yielding in the pressure-driven flow of a Bingham fluid in a serpentine channel

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ffeiliau eraill a chysylltiadau

Ôl bys

Prosiectau

Flow of Gas-Liquid Foams in Narrow Complex Geometries

Dyfynnu hyn