垂直于两平面壁的软胶体球的缓慢旋转

IF 2.5 Q3 CHEMISTRY, PHYSICAL
C. L. Chang, H. Keh
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引用次数: 0

摘要

在小雷诺数的稳定极限下,从理论上研究了粘性流体在软胶体球周围的蠕变流动,该软胶体球在两个平面壁之间的任意位置绕垂直于两个平面墙的直径旋转。颗粒外的流体速度由Stokes方程在圆柱坐标和球坐标下的通解组成,而颗粒多孔表层内的流体速度则由Brinkman方程在球坐标中的通解表示。边界条件首先通过Hankel变换在平面壁上实现,然后通过配置技术在粒子和硬核表面上实现。流体施加在颗粒上的扭矩是作为核心与颗粒半径之比、颗粒半径与多孔层的流动穿透长度之比以及整个范围内相对颗粒与壁间距的函数来计算的。壁对旋转的软颗粒的影响可能是显著的。施加在受限软球上的流体动力扭矩随着相对颗粒与壁间距的减小而增加,并且即使软球接触平面壁时也保持有限。它小于硬球(或多孔层厚度或穿透长度减小的软球)上的扭矩,保持其他参数不变。对于给定的相对壁间距,当粒子位于壁之间的中间时,该转矩最小,并且当粒子位于更靠近任一壁时上升。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Slow Rotation of a Soft Colloidal Sphere Normal to Two Plane Walls
The creeping flow of a viscous fluid around a soft colloidal sphere rotating about a diameter normal to two planar walls at an arbitrary position between them is theoretically investigated in the steady limit of small Reynolds numbers. The fluid velocity outside the particle consists of the general solutions of the Stokes equation in circular cylindrical and spherical coordinates, while the fluid velocity inside the porous surface layer of the particle is expressed by the general solution of the Brinkman equation in spherical coordinates. The boundary conditions are implemented first on the planar walls by means of the Hankel transforms and then at the particle and hard-core surfaces by a collocation technique. The torque exerted on the particle by the fluid is calculated as a function of the ratio of the core-to-particle radii, ratio of the particle radius to the flow penetration length of the porous layer, and relative particle-to-wall spacings over the entire range. The wall effect on the rotating soft particle can be significant. The hydrodynamic torque exerted on the confined soft sphere increases as the relative particle-to-wall spacings decrease and stays finite even when the soft sphere contacts the plane walls. It is smaller than the torque on a hard sphere (or soft one with a reduced thickness or penetration length of the porous layer), holding the other parameters constant. For a given relative wall-to-wall spacing, this torque is minimal when the particle is situated midway between the walls and rises as it locates closer to either wall.
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来源期刊
Colloids and Interfaces
Colloids and Interfaces CHEMISTRY, PHYSICAL-
CiteScore
3.90
自引率
4.20%
发文量
64
审稿时长
10 weeks
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