Experimental Verification of Capillary Force and Water Retention between Uneven-Sized Spheres
This article is a reply.
VIEW THE ORIGINAL ARTICLEThis article has a reply.
VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 134, Issue 5
Abstract
The recently established theoretical results of the solid-water characteristic curve (SWCC) and capillary force characteristic curve (CFCC) are experimentally verified for mechanical and hydrologic interaction between uneven-sized spherical particles under partially saturated conditions. It is shown that the theoretical framework, based on the minimization of the free energy of the liquid meniscus between the two uneven-sized particles, can predict both water retention and capillary force accurately for spherical particles ranging in radius from . The experimental technique is novel and the results at such scale are valuable for the understanding of gas-solid-liquid interaction among granular media, since there is very limited experimental data available in the literature. The comparisons between the theoretical and experimental predictions of the SWCC and CFCC indicate that the agreements are generally very good, confirming the validity of the theory.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers would like to express their gratitude to Ms. Sarunya Promkotra for many useful discussions on how to set up the experimental program. Partial funding for this research provided by Petroleum Research Fund of American Chemical Society (Grant No. UNSPECIFIED42688-AC9) to N.L. is greatly appreciated.
References
Bateni, A., Susnar, S. S., Amirfazli, A., and Neumann, A. W. (2003). “A high-accuracy polynomial fitting approach to determine contact angles.” Colloids Surf., A, 219, 215–231.
De Bisschop, F. R. E., and Rigole, W. J. L. (1982). “A physical model for liquid capillary bridges between adsorptive solid spheres: The nodoid of plateau.” J. Colloid Interface Sci., 88, 117–128.
Eccleston, K. L., and Miller, K. T. (2002). “Direct measurement of strongly attractive particle-particle interactions.” Improved ceramics through new measurements, processing, and standards, Ceram. Trans., 133, 33–38.
Erle, M. A., Dyson, D. C., and Morrow, N. R. (1971). “Liquid bridges between cylinders, in a torus, and between spheres.” AIChE J., 17, 115–121.
Forsyth, W. E. (2003) Smythsonian physical tables, 99th revised Ed., Table 555, Knovel, Norwich, N.Y.
Lechman, J. B., and Lu, N. (2008). “Capillary force and water retention between two uneven-sized particles.” J. Eng. Mech., 135(5), 374–384.
Lian, G., Thorton, C., and Adams, M. J. (1993). “A theoretical study of the liquid bridge forces between two rigid spherical bodies.” J. Colloid Interface Sci., 161, 138–147.
Mason, G., and Clark, W. C. (1965). “Liquid bridges between spheres.” Chem. Eng. Sci., 20, 859–866.
Mathewson, M. J. (1988). “Adhesion of spheres by thin liquid films.” Philos. Mag. A, 57, 207–216.
McFarlane, J. S., and Tabor, D. (1950). “Adhesion of solids and the effect of surface films.” Proc. R. Soc. London, Ser. A, 202, 224–241.
Melrose, J. C. (1966). “Model calculations for capillary condensation.” AIChE J., 12, 986–994.
Miller, C. A., and Neogi, P. (1985). Interfacial phenomena: Equilibrium and dynamic effects, Marcel Dekker, New York.
Molenkamp, F., and Nazemi, A. H. (2003). “Interactions between two rough spheres, water bridge and water vapor.” Geotechnique, 53, 255–264.
Orr, F. M., Scriven, L. E., and Rivas, A. P. (1975). “Pendular rings between solids: meniscus properties and capillary force.” J. Fluid Mech., 67, 723–742.
Pepin, X., Rossetti, D., Iveson, S. M., and Simons, S. J. R. (2000a). “Modeling the evolution and rupture of pendular liquid bridges in the presence of large wetting hysteresis.” J. Colloid Interface Sci., 232, 289–297.
Pepin, X., Rossetti, D., and Simons, S. J. R. (2000b). “Modeling the evolution and rupture of pendular liquid bridges in the presence of large wetting hysteresis.” J. Colloid Interface Sci., 232, 298–302.
Rossetti, D., Pepin, X., and Simons, S. J. R. (2003). “Rupture energy and wetting behavior of pendular liquid bridges in relations to the spherical agglomeration process.” J. Colloid Interface Sci., 261, 161–169.
Rotenberg, Y., Boruvka, L., and Neumann, A. W. (1983). “Determination of surface tension and contact angle from the shapes of axisymmetric fluid interfaces.” J. Colloid Interface Sci., 93, 169–183.
Washburn, E. W. (2003). International critical tables of numerical data, physics, chemistry and technology, 1st Electronic Ed., Vol. 5, Knovel, Norwich, N.Y., 450.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 134 • Issue 5 • May 2008
Pages: 385 - 395
Copyright
© 2008 ASCE.
History
Received: Feb 13, 2006
Accepted: Sep 18, 2007
Published online: May 1, 2008
Published in print: May 2008
Notes
Note. Associate Editor: Ching S. Chang
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.