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.
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
\Bibitem{Voi99}
\by O.~V.~Voinov
\paper Gravity-induced spreading of a drop of a viscous fluid over a surface
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 3
\pages 59--67
\mathnet{http://mi.mathnet.ru/pmtf3078}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 3
\pages 412--419
\crossref{https://doi.org/10.1007/BF02468395}
Linking options:
https://www.mathnet.ru/eng/pmtf3078
https://www.mathnet.ru/eng/pmtf/v40/i3/p59
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Amir Azimi Yancheshme, Giuseppe R. Palmese, Nicolas J. Alvarez, “Predicting the Dynamics and Steady-State Shape of Cylindrical Newtonian Filaments on Solid Substrates”, Langmuir, 39:30 (2023), 10495
Amir Azimi Yancheshme, Giuseppe R. Palmese, Nicolas J. Alvarez, “A generalized scaling theory for spontaneous spreading of Newtonian fluids on solid substrates”, Journal of Colloid and Interface Science, 636 (2023), 677
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