dorsal/arxiv
View SchemaCapillary Rise in Nanopores: Molecular Dynamics Evidence for the Lucas-Washburn Equation
| Authors | D. I. Dimitrov, A. Milchev, K. Binder |
|---|---|
| Categories | |
| ArXiv ID | physics/0703282 |
| URL | https://arxiv.org/abs/physics/0703282 |
| DOI | 10.1103/PhysRevLett.99.054501 |
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 $\sqrt{\textrm{time}}$-law. For the polymer melt, however, we find that the capillary flow exhibits a slip length $\delta$, 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 $\delta$.
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"abstract": "When a capillary is inserted into a liquid, the liquid will rapidly flow into\nit. This phenomenon, well studied and understood on the macroscale, is\ninvestigated by Molecular Dynamics simulations for coarse-grained models of\nnanotubes. Both a simple Lennard-Jones fluid and a model for a polymer melt are\nconsidered. In both cases after a transient period (of a few nanoseconds) the\nmeniscus rises according to a $\\sqrt{\\textrm{time}}$-law. For the polymer melt,\nhowever, we find that the capillary flow exhibits a slip length $\\delta$,\ncomparable in size with the nanotube radius $R$. We show that a consistent\ndescription of the imbibition process in nanotubes is only possible upon\nmodification of the Lucas-Washburn law which takes explicitly into account the\nslip length $\\delta$.",
"arxiv_id": "physics/0703282",
"authors": [
"D. I. Dimitrov",
"A. Milchev",
"K. Binder"
],
"categories": [
"physics.flu-dyn",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevLett.99.054501",
"title": "Capillary Rise in Nanopores: Molecular Dynamics Evidence for the Lucas-Washburn Equation",
"url": "https://arxiv.org/abs/physics/0703282"
},
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