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

Tirion G. Roberts, Simon J. Cox

备注：: arXiv admin note: substantial text overlap with arXiv:1909.06173
发表信息：: JNNFM 2020
DOI：: 10.1016/j.jnnfm.2020.104278

英文摘要：

We derive an expression for the velocity profile of a pressure-driven yield-stress fluid flow-ing 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.

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