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Contact line arrest in solidifying spreading drops

Riëlle de Ruiter1, Pierre Colinet2, Philippe Brunet3, Jacco H. Snoeijer1,4, and Hanneke Gelderblom1,*

  • 1Physics of Fluids Group, Faculty of Science and Technology, MESA+ Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
  • 2Transfers, Interfaces and Processes, Université Libre de Bruxelles, C.P. 165/67, Brussels, Belgium
  • 3Laboratoire Matière et Systèmes Complexes, Université Paris Diderot, Paris, France
  • 4Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

  • *Corresponding author: h.gelderblom@utwente.nl
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Phys. Rev. Fluids 2, 043602 – Published 19 April, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.043602

Abstract

When does a drop, deposited on a cold substrate, stop spreading? Despite the practical relevance of this question, for example, in airplane icing and three-dimensional metal printing, the detailed mechanism of arrest in solidifying spreading drops has remained debated. Here we consider the spreading and arrest of hexadecane drops of constant volume on two smooth wettable substrates: copper with a high thermal conductivity and glass with a low thermal conductivity. We record the spreading radius and contact angle in time for a range of substrate temperatures. The experiments are complemented by a detailed analysis of the temperature field near the rapidly moving contact line, by means of similarity solutions of the thermohydrodynamic problem. Our combined experimental and theoretical results provide strong evidence that the spreading of solidifying drops is arrested when the liquid at the contact line reaches a critical temperature, which is determined by the effect of kinetic undercooling.

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References (43)

  1. P. Tourkine, M. Le Merrer, and D. Quéré, Delayed freezing on water repellent materials, Langmuir 25, 7214 (2009).
  2. L. Mishchenko, B. Hatton, V. Bahadur, J. A. Taylor, T. Krupenkin, and J. Aizenberg, Design of ice-free nanostructured surfaces based on repulsion of impacting water droplets, ACS Nano 4, 7699 (2010).
  3. J. C. Bird, R. Dhiman, H. M. Kwon, and K. K. Varanasi, Reducing the contact time of a bouncing drop, Nature (London) 503, 385 (2013).
  4. M. J. Kreder, J. Alvarenga, P. Kim, and J. Aizenberg, Design of anti-icing surfaces: Smooth, textured or slippery?, Nat. Rev. Mater. 1, 15003 (2016).
  5. M. Vaezi, H. Seitz, and S. F. Yang, A review on 3D micro-additive manufacturing technologies, Int. J. Adv. Manu. Technol. 67, 1721 (2013).
  6. C. W. Visser, R. Pohl, C. Sun, G. W. Roemer, B. H. in 't Veld, and D. Lohse, Toward 3D printing of pure metals by laser-induced forward transfer, Adv. Mater. 27, 4087 (2015).
  7. P. Fauchais, M. Fukumoto, A. Vardelle, and M. Vardelle, Knowledge concerning splat formation: An invited review, J. Thermal Spray Technol. 13, 337 (2004).
  8. D. Attinger, Z. Zhao, and D. Poulikakos, An experimental study of molten microdroplet surfacce deposition and solidification: Transient behavior and wetting angle dynamics, J. Heat Transfer 122, 544 (2000).
  9. R. W. Griffiths, The dynamics of lava flows, Annu. Rev. Fluid Mech. 32, 477 (2000).
  10. J. H. Snoeijer and B. Andreotti, in Moving Contact Lines: Scales, Regimes, and Dynamical Transitions, edited by S. H. Davis and P. Moin, special issue of Annu. Rev. Fluid Mech. 45, 269 (2013).
  11. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed. (Oxford University Press, New York, 1959).
  12. C. Huh and L. E. Scriven, Hydrodynamic model of steady movement of a solid/liquid/fluid contact line, J. Colloid Interface Sci. 35, 85 (1971).
  13. D. M. Anderson and S. H. Davis, Local fluid and heat flow near contact lines, J. Fluid Mech. 268, 231 (1994).
  14. S. Schiaffino and A. A. Sonin, Motion and arrest of a molten contact line on a cold surface: An experimental study, Phys. Fluids 9, 2217 (1997).
  15. S. Schiaffino and A. A. Sonin, On the theory for arrest of an advancing molten contact line on a cold solid of the same material, Phys. Fluids 9, 2227 (1997).
  16. A. L. Biance, C. Clanet, and D. Quere, First steps in the spreading of a liquid drop, Phys. Rev. E 69, 016301 (2004).
  17. K. G. Winkels, J. H. Weijs, A. Eddi, and J. H. Snoeijer, Initial spreading of low-viscosity drops on partially wetting surfaces, Phys. Rev. E 85, 055301 (2012).
  18. J. C. Bird, S. Mandre, and H. A. Stone, Short-Time Dynamics of Partial Wetting, Phys. Rev. Lett. 100, 234501 (2008).
  19. A. Eddi, K. G. Winkels, and J. H. Snoeijer, Short time dynamics of viscous drop spreading, Phys. Fluids 25, 013102 (2013).
  20. B. B. J. Stapelbroek, H. P. Jansen, E. S. Kooij, J. H. Snoeijer, and A. Eddi, Universal spreading of water drops on complex surfaces, Soft Matter 10, 2641 (2014).
  21. D. M. Anderson, M. G. Worster, and S. H. Davis, The case for a dynamic contact angle in containerless solidification, J. Cryst. Growth 163, 329 (1996).
  22. W. W. Schultz, M. G. Worster, and D. M. Anderson, in Interactive Dynamics of Convection and Solidification, edited by P. Ehrhard, D. S. Riley, and P. H. Steen (Springer, Dordrecht, 2001).
  23. J. H. Snoeijer and P. Brunet, Pointy ice-drops: How water freezes into a singular shape, Am. J. Phys. 80, 764 (2012).
  24. A. G. Marin, O. R. Enriquez, P. Brunet, P. Colinet, and J. H. Snoeijer, Universality of Tip Singularity Formation in Freezing Water Drops, Phys. Rev. Lett. 113, 054301 (2014).
  25. P. F. Hao, C. J. Lv, and X. W. Zhang, Freezing of sessile water droplets on surfaces with various roughness and wettability, Appl. Phys. Lett. 104, 161609 (2014).
  26. F. Tavakoli, S. H. Davis, and H. P. Kavehpour, Spreading and arrest of a molten liquid on cold substrates, Langmuir 30, 10151 (2014).
  27. O. V. Voinov, Hydrodynamics of wetting, Fluid Dyn. 11, 714 (1976).
  28. R. G. Cox, The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow, J. Fluid Mech. 168, 169 (1986).
  29. T. Podgorski, J. M. Flesselles, and L. Limat, Corners, Cusps, and Pearls in Running Drops, Phys. Rev. Lett. 87, 036102 (2001).
  30. K. G. Winkels, I. R. Peters, F. Evangelista, M. Riepen, A. Daerr, L. Limat, and J. H. Snoeijer, Receding contact lines: From sliding drops to immersion lithography, Eur. Phys. J. Spec. Top. 192, 195 (2011).
  31. E. B. Giller and H. G. Drickamer, Viscosity of normal paraffins near the freezing point, Ind. Eng. Chem. 41, 2067 (1949).
  32. M. Amini and B. B. Laird, Kinetic Coefficient for Hard-Sphere Crystal Growth from the Melt, Phys. Rev. Lett. 97, 216102 (2006).
  33. A. I. Fedorchenko and A. B. Wang, Non-equilibrium solidification of the molten metal droplets impacting on a solid surface, Int. J. Heat Mass Transfer 50, 2463 (2007).
  34. D. M. Herlach, Dendrite growth kinetics in undercooled melts of intermetallic compounds, Crystals 5, 355 (2015).
  35. S. Schiaffino and A. A. Sonin, Molten droplet deposition and solidification at low Weber numbers, Phys. Fluids 9, 3172 (1997).
  36. M. Pasandideh-Fard, R. Bhola, S. Chandra, and J. Mostaghimi, Deposition of tin droplets on a steel plate: Simulations and experiments, Int. J. Heat Mass Transfer 41, 2929 (1998).
  37. S. D. Aziz and S. Chandra, Impact, recoil and splashing of molten metal droplets, Int. J. Heat Mass Transfer 43, 2841 (2000).
  38. R. Dhiman and S. Chandra, Freezing-induced splashing during impact of molten metal droplets with high Weber number, Int. J. Heat Mass Transfer 48, 5625 (2005).
  39. G. H. Rodway and J. D. Hunt, Thermoelectric investigation of solidification of lead I. Pure lead, J. Cryst. Growth 112, 554 (1991).
  40. F. Celestini and J. M. Debierre, Measuring kinetic coefficients by molecular dynamics simulation of zone melting, Phys. Rev. E 65, 041605 (2002).
  41. D. Buta, M. Asta, and J. J. Hoyt, Kinetic coefficient of steps at the Si(111) crystal-melt interface from molecular dynamics simulations, J. Chem. Phys. 127, 074703 (2007).
  42. J. Monk, Y. Yang, M. I. Mendelev, M. Asta, J. J. Hoyt, and D. Y. Sun, Determination of the crystal-melt interface kinetic coefficient from molecular dynamics simulations, Model. Simul. Mater. Sci. Eng. 18, 015004 (2010).
  43. J. J. Hoyt, M. Asta, and A. Karma, Atomistic simulation methods for computing the kinetic coefficient in solid-liquid systems, Interface Sci. 10, 181 (2002).

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Phys. Rev. Fluids 2, 043602– Published 19 April, 2017
  • Received 18 November 2016

©2017 American Physical Society

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