Abstract
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 area. 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.
Original language | English |
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Pages (from-to) | 1-5 |
Number of pages | 5 |
Journal | Revista Mexicana de Fisica |
Volume | 57 |
Issue number | 1 |
State | Published - 2011 |
Keywords
- Capillary effects
- Flow in channels
- Micro and nano- scale flow phenomena