%0 Journal Article %1 citeulike:11590002 %A Dimitrov, D. I. %A Milchev, A. %A Binder, K. %D 2007 %I American Physical Society %J Physical Review Letters %K 82d15-liquids 76d45-capillarity-in-viscous-fluids %P 054501+ %R 10.1103/physrevlett.99.054501 %T Capillary Rise in Nanopores: Molecular Dynamics Evidence for the Lucas-Washburn Equation %U http://dx.doi.org/10.1103/physrevlett.99.054501 %V 99 %X 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 (time)1/2 law. For the polymer melt, however, we find that the capillary flow exhibits a slip length δ, 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 δ. We also demonstrate that the velocity field of the rising fluid close to the interface is not a simple diffusive spreading.

@article{citeulike:11590002, 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 (time)1/2 law. For the polymer melt, however, we find that the capillary flow exhibits a slip length δ, 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 δ. We also demonstrate that the velocity field of the rising fluid close to the interface is not a simple diffusive spreading.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Dimitrov, D. I. and Milchev, A. and Binder, K.}, biburl = {https://www.bibsonomy.org/bibtex/2be1491ab6ab3a0eac6cc1d7962bc6fa6/gdmcbain}, citeulike-article-id = {11590002}, citeulike-attachment-1 = {dimitrov_07_capillary.pdf; /pdf/user/gdmcbain/article/11590002/848397/dimitrov_07_capillary.pdf; 5346a99e0a8e8c366c924d1c1d23af6aa8e4f826}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.99.054501}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v99/i5/e054501}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v99/i5/e054501}, comment = {(private-note)Sergio Chibbaro mentioned work by the third author on molecular simulations of Lucas-Washburn imbibition after I spoke to l'Institut Jean le Rond d'Alembert 2012-10-30.}, doi = {10.1103/physrevlett.99.054501}, file = {dimitrov_07_capillary.pdf}, interhash = {e863f91d7b45509b20108c452b611762}, intrahash = {be1491ab6ab3a0eac6cc1d7962bc6fa6}, journal = {Physical Review Letters}, keywords = {82d15-liquids 76d45-capillarity-in-viscous-fluids}, month = jul, pages = {054501+}, posted-at = {2012-10-31 11:30:16}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-02-27T00:18:05.000+0100}, title = {{Capillary Rise in Nanopores: Molecular Dynamics Evidence for the Lucas-Washburn Equation}}, url = {http://dx.doi.org/10.1103/physrevlett.99.054501}, volume = 99, year = 2007 }