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The diameters and velocities of the droplets ejected after splashing

Published online by Cambridge University Press:  07 May 2015

Guillaume Riboux
Affiliation:
Área de Mecánica de Fluidos, Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos, Universidad de Sevilla, Avenida de los Descubrimientos s/n 41092, Sevilla, Spain
José Manuel Gordillo*
Affiliation:
Área de Mecánica de Fluidos, Departamento de Ingeniería Aeroespacial y Mecánica de Fluidos, Universidad de Sevilla, Avenida de los Descubrimientos s/n 41092, Sevilla, Spain
*
Email address for correspondence: jgordill@us.es

Abstract

When a drop impacts a smooth, dry surface at a velocity above the so-called critical speed for drop splashing, the initial liquid volume loses its integrity, fragmenting into tiny droplets that are violently ejected radially outwards. Here, we make use of the model of Riboux & Gordillo (Phys. Rev. Lett., vol. 113, 2014, 024507), together with a one-dimensional approximation describing the flow in the ejected liquid sheet and of balances of mass and momentum at the border of the sheet, to calculate mean sizes and velocities of the ejected drops. The predictions of the model are in good agreement with experiments.

Type
Papers
Copyright
© 2015 Cambridge University Press 

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