Abstract We study the effect of isotropic porous walls on a plane Couette flow laden with spherical and rigid particles. We perform a parametric study varying the volume fraction between 0 and 30 % , the porosity between 0.3 and 0.9 and the non-dimensional permeability between 0 and 7.9 × 10 - 3 We find that the porous walls induce a progressive decrease in the suspension effective viscosity as the wall permeability increases. This behavior is explained by the weakening of the wall-blocking effect and by the appearance of a slip velocity at the interface of the porous medium, which reduces the shear rate in the channel. Therefore, particle rotation and the consequent velocity fluctuations in the two phases are dampened, leading to reduced particle interactions and particle stresses. Based on our numerical evidence, we provide a closed set of equations for the suspension viscosity, which can be used to estimate the suspension rheology in the presence of porous walls.

中文翻译：

---

多孔壁对悬浮液流变学的影响

摘要 我们研究了各向同性多孔壁对载有球形和刚性颗粒的平面 Couette 流的影响。我们进行了一个参数研究，改变体积分数在 0 和 30 % 之间，孔隙率在 0.3 和 0.9 之间，无量纲渗透率在 0 和 7.9 × 10 - 3 之间我们发现多孔壁导致悬浮液有效粘度逐渐降低随着壁面渗透率的增加。这种行为可以通过壁堵效应的减弱和多孔介质界面处滑移速度的出现来解释，这会降低通道中的剪切速率。因此，两相中的粒子旋转和随之而来的速度波动被抑制，导致粒子相互作用和粒子应力降低。根据我们的数字证据，