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http://dx.doi.org/10.5407/JKSV.2014.12.2.023

Investigation for the Fluid Motion in Closed End Capillaries  

Lim, Hosub (School of Mechanical Engineering, Sungkyunkwan University)
Lim, Seong Jin (School of Mechanical Engineering, Sungkyunkwan University)
Lee, Jinkee (School of Mechanical Engineering, Sungkyunkwan University)
Publication Information
Journal of the Korean Society of Visualization / v.12, no.2, 2014 , pp. 23-29 More about this Journal
Abstract
Although many studies have been done on an open-end capillary, the invasion into a closed end capillary is still novel in its investigation. In this research we have explored the fluid invasion in closed-end capillaries where the shape of the meniscus and the height of invasion were accompanied by gas compression inside the capillary. Theoretically, the one dimensional momentum balance equation shows the fluid oscillation. In the experiments, we have found the different phenomena, either the fluid oscillation with low frequency or no oscillation. This discrepancy is mostly caused by two factors. First, a continuous decrease of the advancing contact angle due to decreasing invasion velocity as increasing pressure inside the closed-end capillary reduces the invasion velocities. Second, the high shear stress within the entrance length region was generated by the plug like velocity profile.
Keywords
capillary invasion; surface tension; contact angle; closed end capillary;
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1 (c) Gruener, S.; Hofmann, T.; Wallacher, D.; Kityk, A. V. and Huber, P., 2009, "Capillary rise of water in hydrophilic nanopores," Phys Rev E, Vol.79(6), pp.067301-1-4   DOI
2 (d) Erickson, D.; Li, D. and Park, C. B., 2002, "Numerical simulations of capillary-driven flows in nonuniform cross-sectional capillaries," Journal of Colloid and Interface Science, Vol.250(2), pp.422-430.   DOI
3 (a) Reyssat, M.; Sangne, L. Y.; van Nierop, E. A. and Stone, H. A.,2009, " Imbibition in layered systems of packed beads," Epl, Vol.86(5), pp. 56002-1-6   DOI
4 (b) Hamraoui, A. and Nylander, T., 2002, "Analytical approach for the Lucas-Washburn equation," Journal of Colloid and Interface Science, Vol.250(2), pp.415-421   DOI
5 (d) Siddique, J. I.; Anderson, D. M. and Bondarev, A., 2009, "Capillary rise of a liquid into a deformable porous material," Physics of Fluids, Vol.21(1), pp.013106-1-15.   DOI   ScienceOn
6 Deutsch, S., 1979, "Preliminary-Study of the Fluid-Mechanics of Liquid Penetrant Testing," Journal of Research of the National Bureau of Standards, Vol.84(4), pp.287-292.   DOI
7 Washburn, E. W., 1921, "The Dynamics of Capillary Flow," Physical Review, Vol.17 (Copyright (C) 2010 The American Physical Society), p.273.   DOI
8 Radiom, M.; Chan, W. K. and Yang, C., 2010, "Capillary filling with the effect of pneumatic pressure of trapped air," Microfluidics and Nanofluidics, Vol.9(1), pp.65-75.   DOI
9 Fazio, R. and Iacono, S., 2009, In Entrapped Gas Action for One-Dimensional Models of Capillary Dynamics, Proceedings of the World Congress on Engineering, London, U.K., London, U.K..
10 H, Lim., A., Tripathi. and J, Lee., 2014, "Dynamics of a Capillary Invasion in a Closed-End Capillary," Langmuir, In Press
11 Hoffman, R. L., 1975, "Study of Advancing Interface. 1. Interface Shape in Liquid-Gas Systems," Journal of Colloid and Interface Science, Vol.50 (2), pp.228-241.   DOI   ScienceOn
12 Jiang, T. S., Oh, S. G., and Slattery, J. C., 1979, "Correlation for Dynamic Contact-Angle," Journal of Colloid and Interface Science, Vol.69 (1), pp.74-77.   DOI
13 Ichikawa, N. and Satoda, Y., 1994, "Interface Dynamics of Capillary-Flow in a Tube under Negligible Gravity Condition," Journal of Colloid and Interface Science, Vol.162 (2), pp.350-355.   DOI   ScienceOn
14 Chebbi, R., 2007, "Dynamics of liquid penetration into capillary tubes," Journal of Colloid and Interface Science, Vol.315 (1), pp.255-260.   DOI   ScienceOn
15 Bell, J. and Cameron, F. K., 1906, "The Flow of Liquids through Capillary Spaces," Journal of Physical Chemistry, Vol.10 (8), pp.658-674.
16 Lucas, V. R., 1918, "Ueber das Zeitgesetz des kapillaren Aufstiegs von Flüssigkeiten," Kolloid Zeitschrift, Vol.23 (1), pp.15-22.   DOI
17 Siebold, A.; Nardin, M.; Schultz, J.; Walliser, A. and Oppliger, M., 2000, "Effect of dynamic contact angle on capillary rise phenomena," Colloids and Surfaces a-Physicochemical and Engineering Aspects, Vol.161 (1), pp.81-87.
18 Xue, H. T.; Fang, Z. N.; Yang, Y.; Huang, J. P. and Zhou, L. W., 2006, "Contact angle determined by spontaneous dynamic capillary," Chemical Physics Letters, Vol.432 (1-3), pp.326-330.   DOI
19 Lorenceau, E.; Quere, D.; Ollitrault, J. Y. and Clanet, C., 2002, "Gravitational oscillations of a liquid column in a pipe," Physics of Fluids, Vol.14(6), pp.1985-1992.   DOI
20 Quere, D., 1997, "Inertial capillarity," Europhysics Letters, Vol.39 (5), pp.533-538.   DOI   ScienceOn
21 (a) Fries, N. and Dreyer, M., 2008, "The transition from inertial to viscous flow in capillary rise," Journal of Colloid and Interface Science, Vol.327(1), pp.125-128   DOI
22 (b) Fries, N. and Dreyer, M., 2008, "An analytic solution of capillary rise restrained by gravity," Journal of Colloid and Interface Science, Vol.320 (1), pp.259-263   DOI   ScienceOn
23 (c) Fries, N. and Dreyer, M., 2009, "Dimensionless scaling methods for capillary rise," Journal of Colloid and Interface Science, Vol.338 (2), pp. 514-518.   DOI
24 (c) Reyssat, M.; Courbin, L.; Reyssat, E. and Stone, H. A., 2008, "Imbibition in geometries with axial variations," Journal of Fluid Mechanics, Vol.615, pp.335-344   DOI
25 Zhmud, B. V.; Tiberg, F. and Hallstensson, K., 2000, "Dynamics of capillary rise," Journal of Colloid and Interface Science, Vol.228 (2), pp.263- 269.   DOI   ScienceOn
26 (a) Young, W. B., 2004, "Analysis of capillary flows in non-uniform cross-sectional capillaries," Colloids and Surfaces a-Physicochemical and Engineering Aspects, Vol.234(1-3), pp.123-128   DOI
27 (b) Polzin, K. A. and Choueiri, E. Y., 2003, "A similarity parameter for capillary flows," Journal of Physics D-Applied Physics, Vol.36(24), pp.3156-3167   DOI