论文标题
在弯曲通道中宾汉流体压力驱动流动的分析速度曲线
An analytic velocity profile for pressure-driven flow of a Bingham fluid in a curved channel
论文作者
论文摘要
我们得出了围绕二维同心环的压力驱动屈服压力流动流动的速度曲线的表达。该结果允许预测通道曲率对给定屈服应力启动流动所需的压力梯度的影响，以及插头区域的宽度以及在不同曲率下通过通道的通量。我们使用它来验证从直道到弯曲通道的流量的数值模拟，该流量显示流体如何在达到预测的速度曲线之前首先屈服。
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.
