General methodology to evaluate two-particle hydrodynamic friction inside cylinder-bound viscous fluid
General methodology to evaluate two-particle hydrodynamic friction inside cylinder-bound viscous fluid
复制标题
评估圆柱粘性流体内双粒子流体动力摩擦的一般方法
DOI：
10.1016/j.compfluid.2013.01.004
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发表时间：
2013
影响因子：
2.8
通讯作者：
S. Bhattacharya
中科院分区：
文献类型：
--
作者：
S. Navardi;S. Bhattacharya
本文提出了一种描述双质点系统在管道中的蠕动运动的新方法。分析是专门集中在两个领域的圆柱体约束的粘性流体，其中颗粒间和颗粒壁流的相互作用是显着的。我们量化这些相互作用的摩擦张量的空间变化相关的运动定义的数量，如平移或旋转的每个球体与运动诱导的数量，如力或扭矩。该方法的核心部分是在不连续的不同表面-圆柱和球体上求解无滑移条件下的Stokes方程。相应地，Stokesian场在柱坐标和球坐标的可分离基解中展开，使得管道和颗粒处的条件都可以适当地实施。这使我们能够评估摩擦系数与不同的运动定义和运动诱导量代表不同的流动条件在一般类的问题。因此，该结果可用于计算任意径向位置、轴向间距和方位角取向的特定运动的粒子所受的力和力矩。
This article presents a new method to describe creeping motion of two-particle system in quiescent fluid confined in a conduit. The analysis is specifically focused on two spheres in cylinder-bound viscous fluid where both interparticle and particle–wall flow interactions are significant. We quantify these interactions by the spatial variation of friction tensors relating motion-defining quantities like translation or rotation of each sphere with motion-inducing quantities like force or torque on them. The key component of the methodology is solving Stokes equation with no-slip condition at disconnected dissimilar surfaces—the cylinder and the spheres. Accordingly, the Stokesian fields are expanded in separable basis solutions for both cylindrical and spherical coordinates so that conditions at both conduit and particle can be enforced properly. This enables us to evaluate friction coefficients associated with different pairs of motion-defining and motion-inducing quantities representing different flow-conditions in a general class of problems. Thus, the results can be used to calculate force and torque on the particles with specified motion for their arbitrary radial positions, axial separation and azimuthal orientation.