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Controlling droplet deposition with polymer additives

Abstract

Controlling the impact of drops onto solid surfaces is important for a wide variey of coating and deposition processes—for example, the treatment of plants with herbicides and pesticides requires precise targeting in order to meet stringent toxicological regulations. However, the outer wax-like layer of the leaves is a non-wetting substrate that causes sprayed droplets to rebound; often less than 50% of the initial spray is retained by the plant1. Although the impact and subsequent retraction of non-wetting aqueous drops on a hydrophobic surface have been the subjects of extensive experimental and theoretical work2,3,4,5,6,7, non-newtonian rheological effects have not been considered in any detail. Here we report that, by adding very small amounts of a flexible polymer to the aqueous phase, we can inhibit droplet rebound on a hydrophobic surface and markedly improve deposition without significantly altering the shear viscosity of the solutions. Our results can be understood by taking into account the non-newtonian elongational viscosity, which provides a large resistance to drop retraction after impact, thereby suppressing droplet rebound.

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Figure 1: Typical photographic sequence (left to right) of two aqueous drops striking a hydrophobic surface.
Figure 2: Drop diameter versus time.
Figure 3: Capillary number versus non-dimensional drop-retraction speed, ( Vret/VI), of the droplets; squares represent water–glycerol mixtures and circles represent polymer solutions of different concentrations.
Figure 4: Elongational viscosity versus elongation rate.

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References

  1. Wirth, W., Storp, S. & Jacobsen, W. Mechanisms controlling leaf retention of agricultural spray solutions. Pest. Sci. 33, 411– 422 (1991).

    Article  CAS  Google Scholar 

  2. Chandra, S. & Avedisian, C. T. On the collision of a droplet with a solid surface. Proc. R. Soc. Lond. A 432, 13–41 (1991).

    Article  ADS  Google Scholar 

  3. Rein, M. Phenomena of liquid drop impact on solid and liquid surfaces. Fluid Dynamics Res. 12, 61–93 ( 1993).

    Article  ADS  Google Scholar 

  4. Fukai, J. et al. Wetting effects on the spreading of a liquid droplet colliding with a flat surface: experiment and modeling. Phys. Fluids 7, 236–247 (1995).

    Article  ADS  CAS  Google Scholar 

  5. Bennett, T. & Poulikakos, D. Splat–quench solidification: estimating the maximum spreading of a droplet impacting a solid surface. J. Mater. Sci. 28, 963–970 (1993).

    Article  ADS  Google Scholar 

  6. Scheller, B. L. & Bousfield, D. W. Newtonian drop impact with a solid surface. Am. Inst. Chem. Eng. J. 41, 1357–1367 (1995).

    Article  CAS  Google Scholar 

  7. Mao, T., Kuhn, D. & Tran, H. Spread and rebound of liquid droplets upon impact on flat surfaces. Am. Inst. Chem. Eng. J. 43, 2169–2179, (1997).

    Article  CAS  Google Scholar 

  8. de Gennes, P. G. Wetting: statics and dynamics. Rev. Mod. Phys. 57, 827–863 (1985).

    Article  ADS  CAS  Google Scholar 

  9. Hayes, R. A. & Ralston, J. Forced liquid movement on low energy surfaces. J. Colloid Interface Sci. 159, 429–438 (1993).

    Article  ADS  CAS  Google Scholar 

  10. Hudson, N., & Jones, T. The A1 projet—an overview. J. Non-Newtonian Fluid Mech. 46, 69– 88 (1993).

    Article  CAS  Google Scholar 

  11. Dontula, P., Pasquali, M., Scriven, L. E. & Macosko, C. W. Can extensional viscosity be measured with opposed-nozzle devices? Rheol. Acta 36, 429–448 (1997).

    Article  CAS  Google Scholar 

  12. Bird, R. B., Armstrong, R. C. & Hassager, O. in Dynamics of Polymeric Liquids Vols 1, 2, pp 495–520 (Wiley, New York, 1987).

    Google Scholar 

  13. Tanner, R. I. in Engineering Rheology 168–224 (Clarendon, Oxford, 1992).

    Google Scholar 

  14. Bergeron, V., Martin, J. -Y. & Vovelle, L. Utilisation de polymères comme agents anti-rebond dan des formulations mises en æuvre en milieux aqueux. French Patent Application 9810471 (1998); International Extension PCT/FR99/02002 (1999).

  15. Yerushalmi-Rozen, R., Klein, J. & Fetters, L. J. Suppression of rupture in thin, nonwetting liquid films. Science 263, 793– 795 (1994).

    Article  ADS  CAS  Google Scholar 

  16. Yerushalmi-Rozen, R. & Klein, J. Stabilization of non-wetting thin liquid films on a solid substrate by polymeric additives. Langmuir 11, 2806–2814 (1995).

    Article  CAS  Google Scholar 

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Acknowledgements

D.B. thanks S. Kumar for helpful discussions; and J. Vermant and P. Moldenaers for help with the elongational viscosity measurements. LPS de l’ENS is UMR 8550 of the CNRS, associated with the universities Paris 6 and 7. We also thank the European Commission for their support in the form of TMR project funding.

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Correspondence to Vance Bergeron.

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Bergeron, V., Bonn, D., Martin, J. et al. Controlling droplet deposition with polymer additives. Nature 405, 772–775 (2000). https://doi.org/10.1038/35015525

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