Abstract
Fluid motion along a smooth, solid surface is examined when the free surface forms a final visible angle with the solid boundary. The dependence of this angle on the velocity with allowance for capillary forces is determined. The Reynolds number is small. The problem of the motion of the phase interface in a capillary and the spreading of viscous fluid drops on solid surfaces are solved. Experimental results are explained. Up to now, not only were analytical results lacking in this field, but also there was not even a precise formulation of the problem (see the review in [1]).
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Literature cited
E. B. Dussan V. and S. H. Davis, “On the motion of a fluid-fluid interface along a solid surface”, J. Fluid Mech.,65, Pt. 1 (1974).
R. Ablett, “An investigation of the angle of contact between paraffin wax and water”, Philos. Mag.,46, No. 272 (1923).
G. E. P. Elliot and A. C. Riddiford, “Dynamic contact angles”, J. Colloid Interface Sci.,23, No. 3 (1967).
T. D. Blake and J. M. Haynes, “Kinetics of liquid/liquid displacement”, J. Colloid Interface Sci.,30, No. 3 (1969).
H. K. Moffat, “Viscous and resistive eddies near a sharp corner”, J. Fluid Mech.,18, Pt. 1 (1964).
V. A. Ogarev, T. N. Timonina, V. V. Arslanov, and A. A. Trapeznikov, “Spreading of polydimethylsiloxane drops on solid horizontal surfaces”, J. Adhes.,6, No. 4 (1974).
T. Kataoka and S. Ueda, “Viscosity-molecular weight relationship for polydimethylsiloxane”, J. Polym. Sci., Part B, Polym. Lett.,4, No. 5 (1966).
S. Middleman, The Flow of High Polymers, Wiley-Interscience, New York (1968).
P. Flory, Statistical Mechanics of Chain Molecules, Wiley-Interscience, New York (1969).
R. J. Hansen and T. Y. Toong, “Dynamic contact angle and its relationship to forces of hydrodynamic origin”, J. Colloid Interface Sci.,37, No. 1 (1971).
W. Rose and R. W. Heins, “Moving interfaces and contact angle rate dependency”, J. Colloid Sci.,17, No. 1 (1962).
B. V. Zheleznyi, “Experimental investigation of dynamic hysteresis of contact angle”, Dokl. Akad. Nauk SSSR,207, No. 3 (1972).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 76–84, September–October, 1976.
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Voinov, O.V. Hydrodynamics of wetting. Fluid Dyn 11, 714–721 (1976). https://doi.org/10.1007/BF01012963
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DOI: https://doi.org/10.1007/BF01012963