Semi-analytic velocity profile for a Bingham fluid in a curved channel
Fluid Dynamics
2019-09-16 v1 Soft Condensed Matter
Abstract
We derive an expression for the velocity profile of a pressure-driven yield-stress Bingham fluid flowing around a 2D concentric annulus. The formula requires the numerical solution of a nonlinear equation for the positions of the yield surfaces. The results allow 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.
Keywords
Cite
@article{arxiv.1909.06173,
title = {Semi-analytic velocity profile for a Bingham fluid in a curved channel},
author = {Tirion G. Roberts and Simon J. Cox},
journal= {arXiv preprint arXiv:1909.06173},
year = {2019}
}