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Analysis of Water Drop Behavior on Hydrophobic Surface

This research delves into the behaviors of water drops on hydrophobic surfaces, focusing on horizontal deformation and contact time. The study aims to uncover relationships between parameters, compare findings to existing data, and explore applications in various fields. Theoretical models, experimental methods, and detailed results are presented, along with implications and avenues for future investigations.

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Analysis of Water Drop Behavior on Hydrophobic Surface

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  1. Analysis of a water drop on a hydrophobic surface Jordan Allen-Flowers Mitch Wilson Graduate Program in Applied Mathematics University of Arizona December 9,2009 Advisors: Dr. Alain Goriely, Robert Reinking

  2. Outline • Introduction • Methods • Theory • Results • Horizontal deformation • Contact time • Discussions • Conclusions/Future Work

  3. Introduction • Water-drop phenomena • Hydrophobic surface • Three behaviors: • Bouncing • Crowning • Splashing

  4. Research Goals • Discover relationships between different parameters • Horizontal deformation • Contact time • Compare to published results

  5. Applications • Inkjet printing • Fluid transport • Blood spatter at a crime scene • Water removal on leaves

  6. Methods • Water-drop system • Pipettes and syringes • Test slides • Pressure bulbs • Camera and software • High-speed camera • Photron Motion Tools, ImageJ software • 1000W lamp

  7. Theory: Maximum deformation • Weber number: • U is impact velocity • D is drop diameter • ρ, σ are density and surface tension • Ratio of kinetic energy to surface energy • Ranges from ~1 to ~50

  8. Three different scaling laws for maximal deformation: • All kinetic energy is transformed to surface energy • Kinetic energy is dissipated by viscosity • Gravity puddle approach

  9. Theory: Contact time • Balancing inertia and capillarity yields: • This can also be rewritten as: • But implies that τ is independent of U

  10. Results- Horizontal Deformation

  11. More results for max deformation

  12. Results- Contact Time

  13. More results for contact time

  14. Conclusions • The water-drop phenomena- quick, but intricate • Our data was consistent with the theory of some authors • Future work • Surface analysis • Different liquids • Pinch-off phenomenon • We would like to thank Dr. Alain Goriely andRob Reinking, who made this research possible.

  15. References • Rein, M. 1993. "Phenomena of liquid drop impact on solid and liquid surfaces" Fluid Dyn. Res. 12, 61-93. • Okumura, K., Chevy F., Richard, D., Quere, D., Clanet, C. 2003. "Water spring: A model for bouncing drops" Europhys. Let. 62, 237-243. • Clanet, C., Beguin, C., Richard, D., Quere, D. 2004. "Maximal deformation of an impacting drop" J. Fluid Mech. 517, 199-208. • Richard, D., Clanet, C., Quere, D. 2002. "Contact time of a bouncing drop" Nature 417, 811. • Chandra, S., Avedisian, C.T. 1991. "On the collision of a droplet with a solid surface" Proc. Royal Soc. London A 432, 13.

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