Nano-channels filling flow of arbitrary cross-sections

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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 languageEnglish
Pages (from-to)1-5
Number of pages5
JournalRevista Mexicana de Fisica
Volume57
Issue number1
StatePublished - 2011

Keywords

  • Capillary effects
  • Flow in channels
  • Micro and nano- scale flow phenomena

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