Abstract
Microdroplet absorption by two-layer porous media is studied both theoretically and experimentally. A two-dimensional model for liquid flow from a droplet into a porous medium is presented and veri.ed based on a simultaneous numerical solution of the Euler equations taking into account surface tension forces and the unsteady filtration equation. The effect of the structural parameters of the two-layer porous medium (pore size in the layers, and the thickness and porosity of the layers) on the droplet absorption is analyzed. It is shown that the presence of the second layer can have a significant effect on the droplet absorption rate and the liquid distribution in the medium. The pore size is found to be the main parameter that governs the effect of the second layer.
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References
A. E. Scheidegger, The Physics of Flow through Porous Media, University of Toronto Press, Toronto (1974).
G. I Barenblatt, V. M. Éntov, and V. M. Rigik, Theory of Unsteady Fluid Filtration [in Russian], Moscow, Nedra (1972).
J. Bear, Dynamics of Fluids in Porous Media, Dover, New York (1972).
A. Clarke, T. D. Blake, K. Carruthers, and A. Woodward, “Spreading and imbibition of liquid droplets on porous surfaces,” Langmuir, No. 18, 2980–2984 (2002).
S. H. Davis and L. M. Hocking, “Spreading and imbibition of viscous liquid on a porous base II, ” Phys. Fluids, 12, No. 7, 1646–1655 (2000).
L.W. Schwartz, “Theoretical and numerical modeling of coating flow on simple and complex substrates including theology, drying and Marangoni effects,” in: Advances in Coating and Drying of Thin Films, Aachen, Shaker-Verlag (1999), pp. 105–128.
V. M. Starov, S. R. Kostvintsev, V. D. Sobolev, et al., “Spreading of liquid drops over dry porous layers: Complete wetting case,” J. Colloid Interface Sci., No. 252, 397–408 (2002).
N. Alleborn and H. Raszillier, “Spreading and sorption of droplets on layered porous substrates, ” J. Colloid Interface Sci., No. 280, 449–464 (2004).
V. Rein, “Phenomena of liquid drop impact on solid and liquid surfaces,” Fluid Dyn. Res., No. 12, 61–93 (1993).
N. E. Kochin, I. A. Kibel’, and N. V. Roze, Theoretical Hydromechanics [in Russian], Part 1, Fizmatgiz, Moscow (1963).
J. S. Rawlinson and B. Widom, Molecular Theory of Capillarity, Oxford University Press, New York (1989).
P. G. de Gennes, “Wetting: Statics and dynamics,” Rev. Modern Phys., 57, 827–863 (1985).
S. K. Godunov (ed.), Numerical Solution of Multidimensional Problems in Gas-Dynamics [in Russian], Moscow, Mauka (1976).
Yu. P. Meshcheryakov, V. P. Shapeev, and N. N. Yanenko, “Solution of a model cumulation problem in moving meshes,” in: Numerical Methods for Solving Elastic and Plastic Problems, Proc. of the VII All-Union Conference (Miass, July 1–3, 1981), Inst. of Theoret. and Appl. Mechanics, Sib. Div., USSR Acad. of Sci., Novosibirsk (1982), pp. 193–198.
M. R. Predtechensky, A. N. Cherepanov, V. N. Popov, and Yu. D. Varlamov, “Crystallization dynamics of a liquid metal drop impinging onto a multilayered substrate,” Appl. Mech. Tech. Phys., 43, No. 1, 93–102 (2002).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 1, pp. 121–130, January–February, 2007.
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Varlamov, Y.D., Meshcheryakov, Y.P., Predtechensky, M.R. et al. Microdroplet absorption by two-layer porous media. J Appl Mech Tech Phys 48, 101–108 (2007). https://doi.org/10.1007/s10808-007-0014-y
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DOI: https://doi.org/10.1007/s10808-007-0014-y