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Atomization and Sprays
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ISSN Druckformat: 1044-5110
ISSN Online: 1936-2684

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Atomization and Sprays

DOI: 10.1615/AtomizSpr.2012004229
pages 1059-1063

ANALYTICAL CRITERION FOR DROPLET BREAKUP

Ilai Sher
Opuntia
Eran Sher
Ben-Gurion University of Negev, Israel

ABSTRAKT

We studied the problem of a liquid droplet in a high-speed trajectory through ambient gas. The fate of such a droplet is of importance to the overall spray characteristics, in the context of secondary breakup. A theoretical analysis of the problem is presented in which we examine an overall energy balance that includes surface and dissipation energies. Transformation between a droplet to its breakup products under trajectory conditions that include drag forces is a spontaneous process that occurs at a characteristic finite time. The transformation involves reversible surface energy transitions and irreversible viscous dissipation energy. The results provide a simple algebraic equation that shows the inter-relationships between the pertinent parameters and constitutes the minimum essential conditions for droplet breakup.


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