论文标题
密集粘性悬浮液的平面扩展流中的微观结构和压力的预测
Predictions of microstructure and stress in planar extensional flows of a dense viscous suspension
论文作者
论文摘要
我们考虑在粘性流体中的密集球层的延伸流，并使用力和扭矩平衡来确定有助于应力的粒子对的轨迹。为此，我们使用Stokesian Dynamics模拟来指导遵循这种轨迹的接近连接对的选择。我们在代表性轨迹上指定边界条件，并确定粒子沿其的分布以及应力如何依赖于微结构和应变速率。我们使用数值模拟测试结果预测。另外，我们表明，应力和应变率之间的关系涉及粒子分布函数的第二和第四矩。
We consider extensional flows of a dense layer of spheres in a viscous fluid and employ force and torque balances to determine the trajectory of particle pairs that contribute to the stress. In doing this, we use Stokesian dynamics simulations to guide the choice of the near-contacting pairs that follow such a trajectory. We specify the boundary conditions on the representative trajectory, and determine the distribution of particles along it and how the stress depends on the microstructure and strain rate. We test the resulting predictions using the numerical simulations. Also, we show that the relation between the tensors of stress and strain rate involves the second and fourth moments of the particle distribution function.
