An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel
Authors
Organisations
Type | Article |
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Original language | English |
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Article number | 104278 |
Pages (from-to) | 1-10 |
Number of pages | 10 |
Journal | Journal of Non-Newtonian Fluid Mechanics |
Volume | 280 |
Early online date | 23 Mar 2020 |
DOI | |
Publication status | Published - 01 Jun 2020 |
Links | LinksSubmitted manuscript Licence: CC BY Show licence |
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Permanent link | Permanent link |
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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
Documents
- 1-s2.0-S037702572030046X-main
Final published version, 3.66 MB, PDF
Licence: CC BY-NC-ND Show licence