Nano-channels filling flow of arbitrary cross-sections
The filling kinetics of liquids in straight nano-channels of arbitrary cross-sections is discussed. We assume that the capillary force induces a fluid flow in channels characterized by their compactness, C = P²/A, where P is the perimeter and A is the cross-sectional área. Analytical expressions for the distance between the capillary meniscus and the capillary inlet, l, as a function of the elapsed time, t, are given for several typical cross-sections. The comparison between our theoretical predictions and a set of reported data for a complex nano-channel [A. Han, J. Colloid Interface. Sci. 293 (2006) 151] allows us to conclude that the model describes well the filling kinetics.
Main Authors: | , , |
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Format: | Digital revista |
Language: | English |
Published: |
Sociedad Mexicana de Física
2011
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Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2011000100001 |
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