A quasi-static model of drop impact
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Bush_A quasi-static model.pdf
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Author(s)
Molacek, Jan
Bush, John W. M.
Date Issued
December 2012
Journal
Physics of Fluids
Publisher
American Institute of Physics (AIP)
Citation
Molacek, Jan, and John W. M. Bush. “A quasi-static model of drop impact.” Physics of Fluids 24, no. 12 (2012): 127103.
Version
Final published version
Abstract
We develop a conceptually simple theoretical model of non-wetting drop impact on a rigid surface at small Weber numbers. Flat and curved impactor surfaces are considered, and the influence of surface curvature is elucidated. Particular attention is given to characterizing the contact time of the impact and the coefficient of restitution, the goal being to provide a reasonable estimate for these two parameters with the simplest model possible. Approximating the shape of the drop during impact as quasi-static allows us to derive the governing differential equation for the droplet motion from a Lagrangian. Predictions of the resulting model are shown to compare favorably with previously reported experimental results.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1063/1.4771607
