论文标题
用于作用在刚性颗粒上的流体动力的渐近分析
Asymptotic analysis for hydrodynamic force acting on stiff particles
论文作者
论文摘要
在近乎接触方案中研究了一个具有两个刚性颗粒的粘性不可压缩流体的三维数学模型。当一个颗粒以处方的翻译和角速度接近另一个静止粒子时，总是会出现在运动粒子上施加的流体动力。在本文中，我们构建了与流体速度和压力相对应的显式奇异函数，以建立相对于小颗粒距离的小动力力量，以建立精确的渐近式公式，这表明其最大的奇异性是通过两个颗粒之间的挤压运动来确定的。最后，采用原始偶的变分原理为这些渐近学给出了完全的理由。
A three-dimensional mathematical model of a viscous incompressible fluid with two stiff particles is investigated in the near-contact regime. When one of the particles approaches the other motionless particle with prescribed translational and angular velocities, there always appears blow-up of hydrodynamic force exerted on the moving particle. In this paper, we construct explicit singular functions corresponding to the fluid velocity and pressure to establish precise asymptotic formulas for hydrodynamic force with respect to small interparticle distance, which show that its largest singularity is determined by squeeze motion between two particles. Finally, the primal-dual variational principle is employed to give a complete justification for these asymptotics.
