Hydrodynamic interactions between spheres in a viscous fluid with a flat free surface or hard wall

Cichocki, Bogdan; Ekiel-Jeżewska, Maria L.; Wajnryb, Eligiusz
May 2007
Journal of Chemical Physics;5/14/2007, Vol. 126 Issue 18, p184704
Academic Journal
Hydrodynamic interactions between spheres immersed in a low-Reynolds-number fluid flow close to a flat free surface or hard wall are investigated. The spheres may have different or equal radii, and may be separated from the boundary or at contact with the free surface. A simple and useful expression is derived for the propagator (Green operator) connecting centers of two spheres. In the derivation, the method of images and the displacement theorems are used. Symmetry of the displacement operators is explicitly shown. The significance of these results in efficient Stokesian and Brownian dynamics simulations is outlined. An example of an application is shown.


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