Artículo
A theory on the spreading of impacting droplets
Autor/es | Gordillo Arias de Saavedra, José Manuel
![]() ![]() ![]() ![]() ![]() ![]() ![]() Riboux, Guillaume Maurice ![]() ![]() ![]() ![]() ![]() ![]() Sánchez Quintero, Enrique Jesús |
Departamento | Universidad de Sevilla. Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos |
Fecha de publicación | 2019-05 |
Fecha de depósito | 2024-05-27 |
Publicado en |
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Resumen | Here we provide a self-consistent analytical solution describing the unsteady flow in the slender thin film which is expelled radially outwards when a drop hits a dry solid wall. Thanks to the fact that the fluxes of mass ... Here we provide a self-consistent analytical solution describing the unsteady flow in the slender thin film which is expelled radially outwards when a drop hits a dry solid wall. Thanks to the fact that the fluxes of mass and momentum entering into the toroidal rim bordering the expanding liquid sheet are calculated analytically, we show here that our theoretical results closely follow the measured time-varying position of the rim with independence of the wetting properties of the substrate. The particularization of the equations describing the rim dynamics at the instant the drop reaches its maximal extension which, in analogy with the case of Savart sheets, is characterized by a value of the local Weber number equal to one, provides an algebraic equation for the maximum spreading radius also in excellent agreement with experiments. The self-consistent theory presented here, which does not make use of energetic arguments to predict the maximum spreading diameter of impacting drops, provides us with the time evolution of the thickness and of the velocity of the rim bordering the expanding sheet. This information is crucial in the calculation of the diameters and of the velocities of the droplets ejected radially outwards for drop impact velocities above the splashing threshold. © 2019 Cambridge University Press. |
Cita | Gordillo Arias de Saavedra, J.M., Riboux, G.M. y Sánchez Quintero, E.J. (2019). A theory on the spreading of impacting droplets. Journal of Fluid Mechanics, 866, 298-315. https://doi.org/10.1017/jfm.2019.117. |
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