Abstract
The onset of Marangoni convection initiated by introducing a surfactant solution drop onto a horizontal liquid interface is studied experimentally and theoretically. It is revealed that the film of admixtures adsorbed by this surface from the bulk of the contacting liquids begins to move only as a certain shear stress is reached, that is, the capillary flow development is of threshold nature. If compared with Marangoni convection development on the free liquid surface, the threshold shear stress may turn out to be either lower or higher, depending on the surfactant admixture concentration in both liquids and the pattern of changes in the surface tension with approaching the interfacial surface. In order to describe the threshold development of concentration convection, a nonlinear dependence of the shear stress at the liquid surface on the liquid velocity is proposed. In a numerical experiment, the convective flow pattern on the interface is determined and the time dependence of the flow intensity is obtained.
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References
A.I. Mizev, “Influence of an Adsorption Layer on the Structure and Stability of Surface Tension Driven Flows,” Phys. Fluids. 17(12), 1–5 (2005).
A. Mizev, A. Trofimenko, D. Schwabe, and A. Viviani, “Instability of Marangoni Flow in the Presence of an Insoluble Surfactant. Experiment,” Eur. Phys. J. 219(1), 89–98 (2013).
R.V. Birikh, M.O. Denisova, and K.G. Kostarev, “The Development of Marangoni Convection Induced by Local Addition of a Surfactant,” Fluid Dynamics 46(6), 890–900 (2011).
A. Mizev, M. Denisova, K. Kostarev, R. Birikh, and A. Viviani, “Threshold Onset of Marangoni Convection in Narrow Channels,” Eur. Phys. J. Special Topics 192(1), 163–173 (2011).
V.G. Levich, Physicochemical Hydrodynamics (Fizmatlit, Moscow, 1959) [in Russian].
A.V. Gorodetskaya, “Rate of Bubble Elevation in Water and Aqueous Solutions at High Reynolds Numbers,” Zh. Fiz. Khimii 23(1), 71–78 (1949).
N.O. Young, J.S. Goldstein, and M.J. Block, “The Motion of Bubbles in a Vertical Temperature Gradient,” J. Fluid Mech. 6, 350–356 (1959).
A.L. Zuev and K.G. Kostarev, “Characteristics of Concentration-Capillary Convection,” Uspekhi Fiz. Nauk 178(10), 1065–1085 (2008).
B.A. Bezuglyi and S.I. Chemodanov, “Effect of Delay of Thermocapillary Response of a Transparent Liquid layer at the Laser Heating of the absorbing substrate,” Zh. Tekhn. Fiz. 75(9), 136–138 (2005).
B.A. Bezuglyi, S.I. Chemodanov, T.V. Shalya, and S.V. Shalya, “Effect of the surface pressure of a Hexadecanol Monolayer on the Thermocapillary Response Delay Time,” Bulletin Tyumen State Univ. [in Russian], No. 5, 176–182 (2007).
J.B. Lewis and H.R.C. Pratt, “Oscillating Droplets,” Nature 171, 1155–1156 (1953).
D. Agble and M.A. Mendes-Tatsis, “The Effect of Surfactants on Interfacial Mass Transfer in Binary Liquid-Liquid Systems,” Int. J. Heat Mass Trans. 43(6), 1025–1034 (2000).
K.G. Kostarev and A.F. Pshenichnikov, “Gravity Convection of a Liquid Mixture in a Horizontal Cylindrical Gap at Moderate Grashof Numbers,” Kosmich. Issledovaniya 42(2), 115–122 (2004).
A.A. Abramzon, L.E. Bobrova, and L.P. Zaichenko, Surface Phenomena and Surfactants (Khimiya, Leningrad, 1984) [in Russian].
V.I. Perelman, Concise Manual for the Chemist (Gos. Nauch.-Tekh. Izd. Khim. Lit., Moscow, 1954) [in Russian].
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Original Russian Text © R.V. Birikh, M.O. Denisova, K.G. Kostarev, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 3, pp. 56–67.
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Birikh, R.V., Denisova, M.O. & Kostarev, K.G. Development of concentration-capillary convection on an interfacial surface. Fluid Dyn 50, 361–370 (2015). https://doi.org/10.1134/S0015462815030060
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DOI: https://doi.org/10.1134/S0015462815030060