Commun. Comput. Phys., 10 (2011), pp. 767-784.


Two-Dimensional Lattice Boltzmann Model for Droplet Impingement and Breakup in Low Density Ratio Liquids

Amit Gupta 1, Ranganathan Kumar 2*

1 Department of Mechanical Engineering, Indian Institute of Technology, New Delhi, India 110016.
2 Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, FL 32816, USA.

Received 22 December 2009; Accepted (in revised version) 16 September 2010
Available online 9 June 2011
doi:10.4208/cicp.221209.160910a

Abstract

A two-dimensional lattice Boltzmann model has been employed to simulate the impingement of a liquid drop on a dry surface. For a range of Weber number, Reynolds number and low density ratios, multiple phases leading to breakup have been obtained. An analytical solution for breakup as function of Reynolds and Weber number based on the conservation of energy is shown to match well with the simulations. At the moment breakup occurs, the spread diameter is maximum; it increases with Weber number and reaches an asymptotic value at a density ratio of 10. Droplet breakup is found to be more viable for the case when the wall is non-wetting or neutral as compared to a wetting surface. Upon breakup, the distance between the daughter droplets is much higher for the case with a non-wetting wall, which illustrates the role of the surface interactions in the outcome of the impact.

AMS subject classifications: 76T10

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Key words: Lattice Boltzmann, droplet impingement, spread factor, breakup.

*Corresponding author.
Email: agupta@mech.iitd.ac.in (A. Gupta), Ranganathan.Kumar@ucf.edu (R. Kumar)
 

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