The low-Reynolds-number flow past a sphere moving near a right dihedral corner made by a stationary and a tangentially sliding wall is considered. Using the superposition principle, the arbitrary motion of the sphere is decomposed into simple elementary motions. Fully-resolved spectral-element simulations are carried out in the frame of reference translating and rotating with the particle such that the velocity on the particle’s surface vanishes. Forces and torques on the sphere are obtained as functions of the particle position near the corner. The data obtained are fitted by closed-form expressions which take into account symmetries of the problem, exact solutions, and asymptotic solutions from lubrication theory. The correlations obtained can easily be implemented in larger-scale one-way-coupled particulate-flow simulations to correct the particle motion near dihedral corners where mere point-particle models break down.

考虑通过球体的低雷诺数流，该球体在由固定壁和切向滑动壁形成的右二面角附近移动。使用叠加原理，将球体的任意运动分解为简单的基本运动。完全解析的光谱元素模拟是在参照系中随粒子平移和旋转而进行的，因此粒子表面上的速度消失了。球体上的力和扭矩是拐角附近粒子位置的函数。所获得的数据由封闭形式的表达式拟合，该表达式考虑了润滑问题的对称性，精确解和渐近解。