Dynamics of Capillary Rise

Dynamics of Capillary Rise An overview and detailed analysis of the classical theory of capillarity is presented. A number of known equations of capillary rise dynamics are shown to be different limiting cases of one rather general equation. Some internal inconsistencies of the classical equations are pointed out. The role of nonlinear dissipation and flow pattern effects in the front zone of the liquid column and near the capillary entrance is discussed. Numerical simulations and experimental data demonstrating some characteristic types of dynamic behavior predicted by the theory are reported. Special attention is paid to the capillary rise of surfactant solutions. As applied to this special case, the existing theory is substantially elaborated by setting up a closed system of equations describing the surfactant transport and relaxation processes in the adsorption layer. A simplified relation for the capillary rise dynamics in the case of strong depletion of the interfacial region is obtained, which is in qualitative agreement with the experimental behavior. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Colloid and Interface Science Elsevier

Dynamics of Capillary Rise

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Publisher
Elsevier
Copyright
Copyright © 2000 Academic Press
ISSN
0021-9797
eISSN
1095-7103
D.O.I.
10.1006/jcis.2000.6951
Publisher site
See Article on Publisher Site

Abstract

An overview and detailed analysis of the classical theory of capillarity is presented. A number of known equations of capillary rise dynamics are shown to be different limiting cases of one rather general equation. Some internal inconsistencies of the classical equations are pointed out. The role of nonlinear dissipation and flow pattern effects in the front zone of the liquid column and near the capillary entrance is discussed. Numerical simulations and experimental data demonstrating some characteristic types of dynamic behavior predicted by the theory are reported. Special attention is paid to the capillary rise of surfactant solutions. As applied to this special case, the existing theory is substantially elaborated by setting up a closed system of equations describing the surfactant transport and relaxation processes in the adsorption layer. A simplified relation for the capillary rise dynamics in the case of strong depletion of the interfacial region is obtained, which is in qualitative agreement with the experimental behavior.

Journal

Journal of Colloid and Interface ScienceElsevier

Published: Aug 15, 2000

References

  • Soil Sci.
    Malik, R.S.; Laroussi, C.H.; de Becker, L.W.
  • Langmuir
    Quéré, D.; Raphael, E.; Ollitrault, J.-Y.

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