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

Type Article
Original languageEnglish
JournalJournal of Non-Newtonian Fluid Mechanics
Publication statusAccepted/In press - 13 Mar 2020

View graph of relations
Citation formats


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.


  • bingham_curved_13_no_red

    Accepted author manuscript, 2.61 MB, PDF

    Request copy