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Nonaxisymmetric equilibrium shapes of a drop on a plane

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Abstract

A nonuniform temperature distribution, the presence of surface-active substances and impurities, and also other factors lead to a change in the wetting angle along a plane. A study is made of the influence of a small perturbation of the equilibrium contact angle α on the shape of the free surface of the liquid. Two cases are considered: a surface of small slope in a gravity field and a nearly spherical shape under conditions of weightlessness. The equilibrium shapes of a liquid drop on an inclined plane under conditions of hysteresis of the wetting are also obtained.

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Literature cited

  1. Hydrodynamics of Weightlessness [in Russian], Nauka, Moscow (1976), p. 504.

  2. B. D. Summ and Yu. V. Goryunov, Physicochemical Fundamentals of Wetting and Spreading [in Russian], Khiiaiya, Moscow (1976), p. 232.

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  3. H. P. Greenspan, “On the motion of a small viscous droplet that wets a surface,” J. Fluid Mech.,84, 125 (1978).

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 164–167, July–August, 1983.

I thank I. E. Tarapov and I, I, Ievlev for constant interest in the work and valuable comments.

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Popova, L.N. Nonaxisymmetric equilibrium shapes of a drop on a plane. Fluid Dyn 18, 634–637 (1983). https://doi.org/10.1007/BF01090633

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  • DOI: https://doi.org/10.1007/BF01090633

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