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Physics of Fluids / Volume 12 / Issue 12 / ARTICLES

Phys. Fluids 12, 3121 (2000); http://dx.doi.org/10.1063/1.1321258 (12 pages)

Modeling the splash of a droplet impacting a solid surface

M. Bussmann, S. Chandra, and J. Mostaghimi

Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, Ontario M5S 3G8, Canada

(Received 18 November 1999; accepted 4 September 2000)

A numerical model is used to simulate the fingering and splashing of a droplet impacting a solid surface. A methodology is presented for perturbing the velocity of fluid near the solid surface at a time shortly after impact. Simulation results are presented of the impact of molten tin, water, and heptane droplets, and compared with photographs of corresponding impacts. Agreement between simulation and experiment is good for a wide range of behaviors. An expression for a splashing threshold predicts the behavior of the molten tin. The results of water and especially heptane, however, suggest that the contact angle plays an important role, and that the expression may be applicable only to impacts characterized by a relatively low value of the Ohnesorge number. Various experimental data of the number of fingers about an impacting droplet agree well with predictions of a previously published correlation derived from application of Rayleigh–Taylor instability theory. © 2000 American Institute of Physics.

© 2000 American Institute of Physics

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KEYWORDS and PACS

Keywords

water, organic compounds, tin, drops, contact angle, Rayleigh-Taylor instability

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1321258

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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    References

    S. T. Thoroddsen and J. Sakakibara, "Evolution of the fingering pattern of an impacting drop," Phys. Fluids 10, 1359 (1998)PHFLE6000010000006001359000001.

    M. Bussmann, J. Mostaghimi, and S. Chandra, "On a three-dimensional volume tracking model of droplet impact," Phys. Fluids 11, 1406 (1999)PHFLE6000011000006001406000001.

    M. Pasandideh-Fard, Y. M. Qiao, S. Chandra, and J. Motaghimi, "Capillary effects during droplet impact on a solid surface," Phys. Fluids 8, 650 (1996)PHFLE6000008000003000650000001.

    H. Marmanis and S. T. Thoroddsen, "Scaling of the fingering pattern of an impacting drop," Phys. Fluids 8, 1344 (1996)PHFLE6000008000006001344000001.

    H.-Y. Kim, Z. C. Feng, and J.-H. Chun, "Instability of a liquid jet emerging from a droplet upon collision with a solid surface," Phys. Fluids 12, 531 (2000)PHFLE6000012000003000531000001.

    J. Eggers, "Nonlinear dynamics and breakup of free-surface flows," Rev. Mod. Phys. 69, 865 (1997).


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