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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.
|Number of pages||10|
|Journal||Journal of Non-Newtonian Fluid Mechanics|
|Early online date||23 Mar 2020|
|Publication status||Published - 01 Jun 2020|
- Bingham fluid
- Poiseuille flow
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- Faculty of Business and Physcial Sciences, Department of Mathematics - Professor, Head of Department (Maths)
Person: Teaching And Research
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 May 2020
- 1 Finished
Flow of Gas-Liquid Foams in Narrow Complex Geometries
Engineering and Physical Sciences Research Council
01 Apr 2016 → 31 Mar 2019
Project: Externally funded research