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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 3, Pages 59–67
(Mi pmtf3078)
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This article is cited in 3 scientific papers (total in 3 papers)
Gravity-induced spreading of a drop of a viscous fluid over a surface
O. V. Voinov Institute of Mechanics of Multiphase Systems, Siberian Division, Russian Academy of Sciences, Tyumen’ 625000
Abstract:
The unsteady-state nonlinear problem of spreading of a drop of a viscous fluid on the horizontal surface of a solid under the action of gravity and capillary forces is considered for small Reynolds numbers. The method of asymptotic matching is applied to solve the axisymmetrical problem of spreading when the gravity exerts a significant effect on the dynamics of the drop. The flow structure in the drop is determined at large times in the neighborhood of a self-similar solution. The ranges of applicability of the quasiequilibrium model of drop spreading with a dynamic edge angle and a self-similar solution are found. It is shown that the transition from one flow model to another occurs at very large Bond numbers.
Received: 16.12.1996
Citation:
O. V. Voinov, “Gravity-induced spreading of a drop of a viscous fluid over a surface”, Prikl. Mekh. Tekh. Fiz., 40:3 (1999), 59–67; J. Appl. Mech. Tech. Phys., 40:3 (1999), 412–419
Linking options:
https://www.mathnet.ru/eng/pmtf3078 https://www.mathnet.ru/eng/pmtf/v40/i3/p59
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Abstract page: | 21 | Full-text PDF : | 10 |
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