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Condensed Matter > Soft Condensed Matter

arXiv:1009.5816 (cond-mat)
[Submitted on 29 Sep 2010]

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

Authors:Somaye Hosseini Rad, Ali najafi
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Abstract: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.
Comments: Phys. Rev. E 82, 036305 (2010)
Subjects: Soft Condensed Matter (cond-mat.soft); Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:1009.5816 [cond-mat.soft]
  (or arXiv:1009.5816v1 [cond-mat.soft] for this version)
  https://doi.org/10.48550/arXiv.1009.5816
Related DOI: https://doi.org/10.1103/PhysRevE.82.036305

Submission history

From: Ali Najafi [view email]
[v1] Wed, 29 Sep 2010 09:27:48 UTC (40 KB)
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