Национальный исследовательский университет «Высшая школа экономики»
Ярославский государственный технический университет
Ярославль, Ярославская область, Россия
Ярославль, Ярославская область, Россия
The paper presents the results of a study of equilibrium of a sitting drop from the standpoint of continuum mechanics. It is shown that the connection between internal forces and interfacial tensions is formed by gradients of internal pressures of a medium in interface layers that lead to forming body forces. It was found that the shape of a sitting drop with the contact angle equal Theta_0 = 𝜋/2 is the minimum surface energy state, in which the liquid - solid interface layer is not formed, and the surface energy of the drop takes the minimum value. It was also determined that the thickness of the interface layer varies depending on the values of the contact angle and reaches a maximum value at the complete wetting and complete non-wetting. Finally, the paper examines the impact of external and internal disturbances on the shape of a sitting drop.
sitting drop, interphase layer, wetting angle
1. Kikoin A.K., Kikoin I.K. Molecular physics. M.: Nauka. 1976. 478 pp. (in Russian).
2. Adamson A. Physical Chemistry of Surfaces. Gast. A. New York: Wiley Interscience Publication. 1979. 784 p.
3. Frenkel Y. Kinetic theory of liquids. L.: Nauka. 1975. 301 pp. (in Russian).
4. Roldugin V.I., Kharitonova T.V. On the nonequilibrium thermodynamics of thermocrystallization motion of inclusions in solids. Colloid. J: Sci. Magaz. 2013. V. 75. N 2. P. 198-201 (in Russia).
5. Rowlinson J.S., Widom B. Molecular Theory of Capillarity. M.: Mir. 1986. 352 p.
6. Rusanov A.I., Gudrich F.Ch. Modern capillarity theory: to the 100th anniversary of Gibbs ' capillarity theory. L.: Khimiya. 1980. 344 p. (in Russia).
7. Loitsyanskiy L.G. Fluid and gas mechanics. M.: Nauka. 1950. 678 pp. (in Russia).
8. Deryagin B.V., Churaev N.V., Muller V.M. Surface forces. M.: Nauka. 1985. 398 p. (in Russia).
9. Kaplan I.G. Introduction to the theory of intermolecular interactions. M.: Nauka. 1982. 312 p. (in Russia).
10. Vargaftik N.B. Handbook of thermophysical properties of gases and liquids. M.: Nauka. 1972. 708 p. (in Russia).
11. Ababneh A.. Amirfazli A., Elliott J.W. Effect of Gravity on Macroscopic Advancing Contact Angle of Sessile Drops. Canad. J. Chem. Eng. 2006. V. 84. P. 39-43.
12. Brutin D., Zhu Q., Rahli O. Sessile drop in microgravity: creation, contact angle and interface. Micrograviti Sci. Teecnol. 2009. V. 21. N 1. P. 67-76.
13. Abel G., Ross G.G., Andrzejewski L. Wetting of a liquid surface by another immiscible liquid in microgravity. Adv. Space Res. 2004. V. 33. N 8. P. 1431-1438.
14. Kabov O.A. Zaitsev D.V. The effect of wetting hysteresis on drop spreading under gravity. Dokl. Akad. Nauk. 2013. V. 451. N 1. P. 37-40.
