Abstract
We consider the dynamics of evaporation of a thin layer of a polar liquid (e.g., water) with the free surface, which is located on a solid substrate. Thermocapillary instability takes place at the liquid-vapor free boundary. The surface energy of the substrate-liquid contact region is a nonmonotonic function and is the sum of the interactions of the Van der Waals force and the force of the double electric layer. The influence of the Marangoni effect on the velocity, profile, and stability of the liquid evaporation front is analyzed.
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H. Zeng, K. Kristiansen, P. Wang, J. Bergli, and J. Israelachili, Langmuir 27, 7163 (2011).
V. S. Ajaev, J. Klentzman, T. Gambaryan-Roisman, and P. Stephan, J. Eng. Math. 73, 31 (2011).
M. H. Kopf, S. V. Gurevich, and R. Friedrich, Phys. Rev. E 83, 016212 (2011).
M. Habibi, P. Moller, A. Fall, and D. Bonn, Soft Matter. 8, 4682 (2012).
N. Samid-Merzel, S. G. Lipson, and D. S. Tannhauser, Phys. Rev. E 57, 2906 (1998).
S. Saprykin, P. J. Trevelyan, R. J. Koopmans, and S. Kalladasis, Phys. Rev. E 75, 026306 (2007).
R. V. Craster and O. K. Matar, Rev. Mod. Phys. 81, 1131 (2009).
I. Leizerson, S. G. Lipson, and A. V. Lyushnin, Phys. Rev. E 68, 051601 (2003).
A. D. Myshkis, Hydrodynamics of Weightlessness (Nauka, Moscow, 1976).
B. K. Kopbosynov and V. V. Pukhnachev, in Hydromechanics and Transfer Processes under the Conditions of Weightlessness (UNTs AN SSSR, Sverdlovsk, 1983), pp. 116–125.
U. Thiele, Eur. Phys. J. 197, 213 (2011).
V. S. Ajaev, T. Gambaryan-Roisman, and P. Stepan, J. Colloid Interface Sci. 342, 550 (2010).
E. Pauliac-Vaujour, A. Stannard, C. P. Martin, V. O. Blunt, I. Notinger, and P. J. Moriarty, Phys. Rev. Lett. 100, 176102 (2008).
N. Tiwari and J. M. Davis, J. Colloid Interface Sci. 355, 243 (2011).
Y. Cai and Bi-min Z. Newby, Langmuir 25, 7638 (2009).
M. H. Kopf, H. Harder, Reiter Jurgen, and S. Santer, Langmuir 27, 12354 (2011).
A. Oron, S. H. Davis, and S. G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).
A. Sharma and A. T. Jameel, J. Colloid Interface Sci. 161, 190 (1993).
E. Sultan, A. Boudaoud, and M. Ben Amar, J. Eng. Math. 50, 209 (2004).
A. V. Lyushnin, A. A. Golovin, and L. M. Pismen, Phys. Rev. E 65, 021602 (2002).
A. Golovin, B. Y. Rubinstein, and L. M. Pismen, Langmuir 17, 3930 (2001).
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Original Russian Text © V.Yu. Gordeeva, A.V. Lyushnin, 2013, published in Zhurnal Tekhnicheskoi Fiziki, 2013, Vol. 83, No. 3, pp. 41–47.
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Gordeeva, V.Y., Lyushnin, A.V. Influence of the thermocapillary effect on the dynamics and stability of motion of a thin evaporating film. Tech. Phys. 58, 351–357 (2013). https://doi.org/10.1134/S1063784213030092
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DOI: https://doi.org/10.1134/S1063784213030092