@incollection{statphys23_0988,
title = {Capillary Rise in Nanopores: Molecular Dynamics Evidence for the Lucas-Washburn Equation},
address = {Genova, Italy},
author = {D.I. Dimitrov and A. Milchev and K. Binder},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=988},
year = {2007},
abstract = {When a capillary is inserted into a liquid, the liquid will
rapidly flow into it. This phenomenon, well studied and
understood on the macroscale, is investigated by Molecular
Dynamics simulations for coarse-grained models of nanotubes.
Both a simple Lennard-Jones fluid and a model for a polymer
melt are considered. In both cases after a transient period
(of a few nanoseconds) the meniscus rises according to a
square-root-of-time law. For the polymer melt, however, we find
that the capillary flow exhibits a slip length, comparable in
size with the nanotube radius R. We show that a consistent
description of the imbibition process in nanotubes is only
possible upon modification of the Lucas-Washburn law which
takes explicitly into account the slip length. We also
demonstrate that the velocity field of the rising fluid
close to the interface is not a simple diffusive
spreading.},
keywords = {capillary dynamics equation filling lucas-washburn molecular statphys23 topic-6 }
}
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