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

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An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel. / Roberts, Tirion Gruffudd; Cox, Simon.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 280, 104278, 01.06.2020, p. 1-10.

Research output: Contribution to journal › Article › peer-review

Harvard

Roberts, TG & Cox, S 2020, 'An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel', Journal of Non-Newtonian Fluid Mechanics, vol. 280, 104278, pp. 1-10. https://doi.org/10.1016/j.jnnfm.2020.104278

APA

Roberts, T. G., & Cox, S. (2020). An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel. Journal of Non-Newtonian Fluid Mechanics, 280, 1-10. [104278]. https://doi.org/10.1016/j.jnnfm.2020.104278

Vancouver

Roberts TG, Cox S. An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel. Journal of Non-Newtonian Fluid Mechanics. 2020 Jun 1;280:1-10. 104278. Epub 2020 Mar 23. doi: 10.1016/j.jnnfm.2020.104278

Author

Roberts, Tirion Gruffudd ; Cox, Simon. / An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel. In: Journal of Non-Newtonian Fluid Mechanics. 2020 ; Vol. 280. pp. 1-10.

Bibtex - Download

@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",

publisher = "Elsevier",

}

RIS (suitable for import to EndNote) - Download

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

VL - 280

SP - 1

EP - 10

JO - Journal of Non-Newtonian Fluid Mechanics

JF - Journal of Non-Newtonian Fluid Mechanics