Dynamics of Drop Impact on Solid, Dry Surfaces

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Dynamics of Drop Impact on Solid, Dry Surfaces
Ashley Macner a a Departments of Chemical
Engineering and Physics, Clarkson
University Mentor Dr. John McLaughlin
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Overview
Motivation
Static Experiments
Vs.
SSD Theory
Dynamic Experiments
Vs.
LBM Theory
Future Work
LBM Lattice Boltzmann Method SSD Shape of a
Sessile Drop
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Motivation
To test the robustness and precision of a
version of the Lattice Boltzmann Method (LBM)
developed by Inamuro et al.1 in simulating the
time evolution of the impact of a liquid
distilled water drop onto a solid, dry surface
such as wax paper. Think solid ink-jet printing
(SIJ)2.
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SSD Theory
(1)
From differential geometry
where R1 the radius of curvature in the r-z
plane of figure 1 R2 the radius of curvature in
the perpendicular plane p the pressure jump
across the curved surface at z0 g gravity ?
liquid density ? surface tension
Figure 1-Schematic drawing of sessile drop
showing coordinate system
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Introduce Scaling Parameters
(9)
(10a)
(10b)
Scaled Boundary Conditions
(11)
(12)
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PossibleDetours
1) Evaporation?
2) Reproducibility of Drops?
m3
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Static Experiment
Camera
Ring Stand
Syringe
Diode
3 Prong Clamp
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Still Images
L
H
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m3
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Results
Method Volume m3
Syringe Reading 1.45E-8
Digital Balance 1.5045E-8
Simulation 1.290E-8
For wax paper
Simulation
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LBM Theory

• Particle distribution functions
• Q15D3 lattice
• Lattice includes a rest state
• Tolerates large density ratios

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2-D
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Dynamic Experiments
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Future Work

• 3-D Lattice Boltzmann simulation
• Lower viscosity
• Use LBM to simulate what is going on inside the
  drop
• Develop a mathematical model

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References
1 Inamuro, T., Ogata, T., Tajima, S., and
Konishi, N. (2004). A lattice Boltzmann method
for incompressible two-phase flows with large
density differences. Journal of Computational
Physics. 198. pp 628-644. 2 Andrews, J.,
Ashgriz, N., Chandra, S., and Li, R. Drawback
Effect of Multi-droplet Deposition in Solid Ink
Printing. pp 1-23. 3 OBrien, S. and van den
Brule, B. (1991). Shape of a Small Sessile Drop
and the Determination of Contact Angle. Journal
of the Chemical Society, Faraday Transactions.
87. pp 1579-1583. 4 Marengo, M., Rioboo, R.,
and Tropea, C. (2002). Time evolution of liquid
drop impact onto solid, dry surfaces. Experiments
in Fluids. 33. pp 112-124. 5 Jia, X.,
Kontomaris, K., and McLaughlin, J. Lattice
Boltzmann simulations of flows with fluid-fluid
interfaces. Asia Pacific Journal of Chemical
Engineering. pp 1-39.
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Acknowledgments

• Dr. John McLaughlin
• Dr. Xinli Jia
• Family
• All of you!

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• Thank you for your time
  Questions?
• Any further questions can be diverted to my
  email
• macneram_at_clarkson.edu