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ARTICLE
Liquid bridge in slit pore geometry
| 1 | College of Physics Science and Technology, Guangxi Normal University, Guilin, China |
CORRESPONDING AUTHOR
Submission date: 2020-05-21
Final revision date: 2020-09-20
Acceptance date: 2020-10-18
Online publication date: 2020-12-02
Publication date: 2021-01-15
Journal of Theoretical and Applied Mechanics 2021;59(1):135–142
KEYWORDS
TOPICS
ABSTRACT
In this work, the morphology of a liquid bridge in a slit pore geometry was investigated as a
function of both the bridge height and aspect ratio (height/width). The end contour interface
of the liquid bridge was modeled by using a saddle shape, and the liquid-air interface was
described via an arc of a circle. By employing the free energy approach, a simple formula was
obtained to predict variation of the pinning angle as a function of the distance between the
slits. The pinning angle depended on the liquid volume and on both the wetting properties
and the geometry of the system (height and width). The critical aspect ratio at which the
liquid bridge meniscus transitioned from concave to convex was determined. The calculations
were in good agreement with the experimental data. The morphology of the liquid bridges
in a slit pore geometry can be used in various fields such as the packaging of electronic and
micro-electromechanical systems.
REFERENCES (15)
1.
Broesch D.J., Dutka F., Frechette J., 2013, Curvature of capillary bridges as a competition between wetting and confinement, Langmuir, 29, 15558-15564.
2.
Broesch D.J., Frechette J., 2012, From concave to convex: capillary bridges in slit pore ge ometry, Langmuir, 28, 15548-15554.
3.
Chen W., Lin S., Chiang K., 2005, Stability of solder bridging for area array type packaging, Computers, Materials and Continua, 2, 3, 151-153.
4.
Chiang K.N., Chen W.L., 1998, Electronic packaging reflow shape prediction for the solder mask defined ball grid array, Journal of Electronic Packaging, 120, 175-178.
5.
Evans R., Marconi U.M.B., Tarazona P., 1986, Capillary condensation and adsorption in cylindrical and slit-like pores, Journal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics, 82, 1763-1787.
6.
Galaktionov E.V., Galaktionova N.E., Tropp E.A., 2017, Shape of the surface of a vertical liquid bridge between two parallel solid planes taking into account the gravity force for small Bond numbers, Technical Physics, 62, 1482-1489.
7.
Peng Y.F., Li G.X., 2007, An elastic adhesion model for contacting cylinder and perfectly wetted plane in the presence of meniscus, Journal of Tribology, 129, 231-234.
8.
Petkov P.V., Radoev B.P., 2014, Statics and dynamics of capillary bridges, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 460, 18-27.
9.
Princen H.M., 1970, Capillary phenomena in assemblies of parallel cylinders: III. Liquid columns between horizontal parallel cylinders, Journal of Colloid and Interface Science, 34, 171-184.
10.
Raccurt O., Tardif F., d’Avitaya F.A., Vareine T., 2004, Influence of liquid surface tension on stiction of SOI MEMS, Journal of Micromechanics and Microengineering, 14, 1083-1085.
11.
Swain P.S., Lipowsky R., 2000,Wetting between structured surfaces: Liquid bridges and induced forces, Europhysics Letters, 49, 203-206.
12.
Valencia A., Brinkmann M., Lipowsky R., 2001, Liquid bridges in chemically structured slit pores, Langmuir, 17, 3390-3399.
13.
Wei Z., Zhao Y.P., 2007, Growth of liquid bridge in AFM, Journal of Physics D: Applied Physics, 40, 4368-4370.
14.
Xu J., Xia J., Hong S.W., Lin Z., Qiu F., Yang Y., 2006, Self-assembly of gradient concentric rings via solvent evaporation from a capillary bridge, Physical Review Letters, 96, 066104.
15.
Zhu Z.F., Jia J.Y., Fu H.Z., Chen Y. L., Zeng Z., Yu D. L., 2015, Shape and force analysis of capillary bridge between two slender structured surfaces, Mechanical Sciences, 6, 211-220.
