Terentiev A.G
Jumping drops on the surface of the water. Multiphase Systems. 15 (2020) 3–4. 228–231 (in Russian).
Jumping drops on the surface of the water
Terentiev A.G
Chuvash State University named after I.N. Ulyanov, Cheboksary, Russia
Abstract
The paper proposes a theoretical model for the bouncing of a water drop on a free surface. The motion of a drop
in air is described by the usual equations connecting the forces of inertia, gravity, and Stokes (viscosity resistance).
The drop is considered spherical with a given surface tension. Numerical calculations were carried out using the
same algorithm, but with different initial conditions. Some conditions are set for the droplet disintegration, others
for the droplet reflection from the free surface. It is shown that the disintegration of a drop occurs periodically with a
decrease in the drop size and an increase in the drop rise height. In the interval between droplet decays, periodic
reflection from the free surface occurs with a decrease in the rise height.
Keywordsdrop,
surface,
surface tension
References
- Arkhipov V.A., Trofimov V.F. Formation of secondary drops during impact interaction of a drop with a liquid surface // Journal
of Applied Mechanics and Technical Physics. 2005. V. 46, No. 1. Pp. 42–48.
DOI: 10.1007/s10808-005-0006-8
- Chashechkin Y.D., Prokhorov V.E. Aero- and hydroacoustics of the impact for a droplet freely falling onto the water surface // Doklady Physics. 2010. V. 55, No. 9. Pp. 460–464.
DOI: 10.1134/S1028335810090090
- Mahajan L.D. Liquid drops on the same liquid surface // Nature. 1930. V. 126, No. 3185. P. 761–767.
DOI: 10.1038/126761c0
- Hobbs P.V., Kezweeny A.J. Splashing of a water drop // Science. 1967. V. 155, No. 3766. P. 1112–1114.
DOI: 10.1126/science.155.3766.1112
- Soloviev A.D. [Merging of liquid droplets upon collisions] Fizika oblakov i iskusstvennyx vozdejstvij. Trudy CAGI [Physics of
clouds and artificial influences. Proceedings of CAHI]. 1969. Issue 89. Pp. 3–25.
- Ogus H.N., Prosperetti A. Bubble entrainment by the impact of a drop on liquid surface // J. Fluid Mech. 1990. V. 212. P. 143–179.
DOI: 10.1017/S0022112090002890
- Terentiev A.G., Kirschner I.N., Uhlman J.S. The Hydrodynamics of Cavitating Flows. Backbone Publishing Company, USA. 2011.
