Volume 67, Number 3, August 2004
|Page(s)||383 - 389|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 July 2004|
Hydrodynamic interactions between widely separated particles at a free surface
Institute of Theoretical Physics, Warsaw University Hoża 69, 00-618 Warsaw, Poland
2 Institute of Fundamental Technological Research, Polish Academy of Sciences Świętokrzyska 21, 00-049 Warsaw, Poland
3 Institut für Festkörperforschung, Soft Matter Division, Forschungszentrum Jülich D-52425 Jülich, Germany
Corresponding author: firstname.lastname@example.org
Accepted: 24 May 2004
In this letter, we consider a quasi–two-dimensional (Q2D) system of widely separated spheres suspended in a quiescent fluid and in contact with a planar fluid-gas interface. We construct and estimate the accuracy of two generic approximations to the translational-translational mobility, needed, e.g., in Brownian simulations. Both simplifications for Q2D systems are shown to be essentially different than their three-dimensional well-known analogs. First, we discuss the asymptotic form of the Q2D two-sphere mobility up to cubic order in the inverse inter-particle distance and compare it with the corresponding three-dimensional Rotne-Prager expression. We also explain how to avoid divergences due to lubrication forces at the contact. Next, we construct the Q2D mobility of point-particles, which —unlike in 3D— is not pairwise additive. Finally, we determine the range of validity of both long-distance approximations by computing numerically exact results.
PACS: 47.15.Gf – Low-Reynolds-number (creeping) flows / 82.70.-y – Disperse systems; complex fluids
© EDP Sciences, 2004
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.