Dynamics of Drop Impact on Solid, Dry Surfaces

# Dynamics of Drop Impact on Solid, Dry Surfaces

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## Dynamics of Drop Impact on Solid, Dry Surfaces

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1. Dynamics of Drop Impact on Solid, Dry Surfaces Ashley Macner a a Departments of Chemical Engineering and Physics, Clarkson University Mentor: Dr. John McLaughlin

2. Overview Motivation Static Experiments Vs. SSD Theory Dynamic Experiments Vs. LBM Theory Future Work LBM = Lattice Boltzmann Method SSD = Shape of a Sessile Drop

3. 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.

4. 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 z=0 g = gravity ρ = liquid density γ = surface tension Figure 1-Schematic drawing of sessile drop showing coordinate system

5. Introduce Scaling Parameters: (9) (10a) (10b) Scaled Boundary Conditions: (11) (12)

6. PossibleDetours 1) Evaporation? 2) Reproducibility of Drops? m3

7. Static Experiment Camera Ring Stand Syringe Diode 3 Prong Clamp

8. Still Images L H*

9. m3

10. Results For wax paper: Simulation:

11. LBM Theory • Particle distribution functions • Q15D3 lattice • Lattice includes a rest state • Tolerates large density ratios

12. 2-D

13. t = 1.28 ms t = 0.47 ms t = 1.98 ms t = 3.14 ms

14. Dynamic Experiments

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

16. 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] O’Brien, 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.

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

18. Thank you for your time…Questions? Any further questions can be diverted to my email: macneram@clarkson.edu