The European Physical Journal Special Topics

, Volume 219, Issue 1, pp 131–141 | Cite as

Droplet actuation induced by coalescence: Experimental evidences and phenomenological modeling

  • Mathieu Sellier
  • Volker Nock
  • Cécile Gaubert
  • Claude Verdier
Regular Article

Abstract

This paper considers the interaction between two droplets placed on a substrate in immediate vicinity. We show here that when the two droplets are of different fluids and especially when one of the droplet is highly volatile, a wealth of fascinating phenomena can be observed. In particular, the interaction may result in the actuation of the droplet system, i.e. its displacement over a finite length. In order to control this displacement, we consider droplets confined on a hydrophilic stripe created by plasma-treating a PDMS substrate. This controlled actuation opens up unexplored opportunities in the field of microfluidics. In order to explain the observed actuation phenomenon, we propose a simple phenomenological model based on Newton’s second law and a simple balance between the driving force arising from surface energy gradients and the viscous resistive force. This simple model is able to reproduce qualitatively and quantitatively the observed droplet dynamics.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A.A. Darhuber, S.M. Troian, Annu. Rev. Fluid Mech. 37, 425 (2005)ADSCrossRefMathSciNetGoogle Scholar
  2. 2.
    J.M. Gomba, G.M. Homsy, J. Fluid Mech. 647, 125 (2010)ADSMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    D.H. Bangham, Z. Saweris, Trans. Faraday Soc. 34, 554 (1938)CrossRefGoogle Scholar
  4. 4.
    P. Bahadur, P.S. Yadav, K. Chaurasia, A. Leh, R. Tadmor, J. Colloid Interf. Sci. 332, 455 (2009)CrossRefGoogle Scholar
  5. 5.
    P. Carles, A.M. Cazabat, Colloids Surf. 41, 97 (1989)CrossRefGoogle Scholar
  6. 6.
    S. Karpitschka, H. Riegler, Langmuir 26, 11823 (2010)CrossRefGoogle Scholar
  7. 7.
    R. Borcia, S. Menzel, M. Bestehorn, S. Karpitschka, H. Riegler, Eur. Phys. J. E. 34, 24 (2011)CrossRefGoogle Scholar
  8. 8.
    Y.-H. Lai, M.-H. Hsu, J.-T. Yang, Lab Chip 10, 3149 (2010)CrossRefGoogle Scholar
  9. 9.
    J. Bico, D. Quéré, Europhys. Lett. 51, 546 (2000)ADSCrossRefGoogle Scholar
  10. 10.
    J. Bico, D. Quéré, J. Fluid Mech. 467, 101 (2002)ADSMATHCrossRefGoogle Scholar
  11. 11.
    M. Sellier, V. Nock, C. Verdier, Int. J. Multiphase Flow 37, 462 (2011)CrossRefGoogle Scholar
  12. 12.
    M.D. Abramoff, P.J. Magalhaes, S.J. Ram, Biophotonics International 11, 36 (2004)Google Scholar
  13. 13.
    P.-G. de Gennes, F. Brochard, D. Quéré, Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves (Springer, New York, 2004), p. 261Google Scholar
  14. 14.
    M.L. Ford, A. Nadim, Phys. Fluids 6, 3183 (1994)ADSMATHCrossRefGoogle Scholar
  15. 15.
    R.S. Subramanian, N. Moumen, J.B. McLaughlin, Langmuir 21, 11844 (2005)CrossRefGoogle Scholar
  16. 16.
    V. Pratap, N. Moumen, R.S. Subramanian, Langmuir 24, 5185 (2008)CrossRefGoogle Scholar
  17. 17.
    A.A. Darhuber, J.M. Davis, S.M. Troain, W.W. Reisner, Phys. Fluids 15, 1295 (2003)ADSCrossRefGoogle Scholar
  18. 18.
    E. Kreyszig, Advanced Engineering Mathematics, 7th edn. (John Wiley & Sons, Inc., 1993), p. 626Google Scholar
  19. 19.
    G. Vasquez, E. Alvarez, J.M. Navaza, J. Chem. Eng. Data 40, 611 (1995)CrossRefGoogle Scholar
  20. 20.
    E. Sultan, A. Boudaoud, M. Ben Amar, J. Fluid Mech. 543, 183 (2005)ADSMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • Mathieu Sellier
    • 1
  • Volker Nock
    • 2
  • Cécile Gaubert
    • 3
  • Claude Verdier
    • 4
  1. 1.Department of Mechanical EngineeringUniversity of CanterburyChristchurchNew Zealand
  2. 2.Department of Electrical and Computer EngineeringUniversity of CanterburyChristchurchNew Zealand
  3. 3.École Normale SupérieureCachanFrance
  4. 4.Laboratoire Interdisciplinaire de Physique, CNRS and Université Grenoble ISaint-Martin-d’HèresFrance

Personalised recommendations