Hydrodynamic Interactions of Spherical Particles in A Fluid Confined by A Rough And No-Slip Wall

Details Hydrodynamic Interactions of Spherical Particles in A Fluid Confined by A Rough And No-Slip Wall Hydrodynamic Interactions of Spherical Particles in A Fluid Confined by A Rough And No-Slip Wall

2010-09-29

arxiv.org/abs/1009.5816v1

Physics

Condensed Matter

Soft Condensed Matter

Phys. Rev. E 82, 036305 (2010)

Scientific paper

In this article we develop a theoretical framework to study the hydrodynamic interactions in the presence of a non-flat and no-slip boundary. We calculate the influence of a small amplitude and sinusoidal deformations of a boundary wall in the self mobility and the two body hydrodynamic interactions for spherical particles. We show that the surface roughness enhances the self mobility of a sphere in a way that, for motion in front of a local hump of the surface, the mobility strength decreases while it increases for the motion above a local deep of the rough surface. The influence of the surface roughness in the two body hydrodynamic interactions is also analyzed numerically.

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