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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Continuum concepts in nanoscale capillary impregnation

Björn Henrich1,2, Claudio Cupelli3, Mark Santer1,3 and Michael Moseler1,2,4

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The design of tailor-made nanofluidic devices requires an extension of macroscale hydrodynamic theories for capillary impregnation (CI). Large-scale molecular dynamics (MD) simulations of a simple capillary pump consisting of a nanoscale gold slit attached to a liquid propane reservoir reveal that distinct finite-size-effects impact CI on the nanoscale. A continuum theory is derived that captures these finite-size-effects: properties of a prewetting monolayer, a related Navier-slip, nanoscopic contact angles and wall-induced oscillatory pressure fluctuations enter as non-heuristic atomistic input into the derivation of extended lubrication equations that exactly reproduce the capillary rise dynamics and menisci from our MD simulations. It turns out that impregnation in bare nanochannels can be significantly accelerated by the strong slip induced by a spreading precursor. As expected, this effect is absent in micron sized channels, where our extended continuum theory predicts a capillary dynamics that is already insensitive to all nanoscopic details at the contact line.


PACS

47.85.Np Fluidics

68.08.Bc Wetting

47.61.-k Micro- and nano- scale flow phenomena

47.60.-i Flow phenomena in quasi-one-dimensional systems

47.11.Mn Molecular dynamics methods

68.03.Cd Surface tension and related phenomena

Subjects

Soft matter, liquids and polymers

Fluid dynamics

Computational physics

Surfaces, interfaces and thin films

Dates

Issue 11 (November 2008)

Received 19 May 2008

Published 18 November 2008



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