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Coalescence of Two Oppositely Charged Droplets at Constant Electric Potential

  • Lee, Dong Woog (Energy and Environment Laboratory, Kepco Research Institute) ;
  • Kang, In Seok (Department of Chemical Engineering, Pohang University of Science and Technology)
  • Received : 2021.01.21
  • Accepted : 2021.03.03
  • Published : 2021.05.01

Abstract

Electrocoalescence is an active technique in petroleum industry, formation of raindrop in cloud, and digital microfluidics. In the present work, electrocoalescence of two droplets under the constant electric potential in air was studied. Through this experiment, we found that the electrocoalescence process could be divided three phases; deformation, formation of liquid bridge, and merging. And the condition for formation of liquid bridge between two droplets was obtained. For the connection of experimental result in constant potential condition with general case in constant charge condition, relationship of charge and potential difference was deduced by numerical computation. In high electric potential case, flat interfaces after recoiling were observed. It was interpreted through a numerical simulation of electric field.

Keywords

References

  1. Eow, J. S., et al. "Electrostatic Enhancement of Coalescence of Water Droplets in Oil: a Review of the Current Understanding," Chem. Eng. J., 84(3), 173-192(2001). https://doi.org/10.1016/S1385-8947(00)00386-7
  2. Pruppacher, H. R. and Klett, J. D., "Microphysics of Clouds and Precipitation," New York(2004).
  3. Zhang, X., Basaran O. A. and Wham, R. A., "Theoretical Prediction of Electric Field-enhanced Coalescence of Spherical Drops," AIChE J., 41(7), 1629-1639(1995). https://doi.org/10.1002/aic.690410704
  4. Zhang, X., Basaran, O. A. and Wham, R. A., "Electric Field-enhanced Coalescence of Liquid Drops," Sep., Sci. Technol., 30(7), 1169-1187(1995). https://doi.org/10.1080/01496399508010339
  5. Teh, S. Y. et al., "Droplet Microfluidics," Lab. Chip., 8(2), 198-220(2008). https://doi.org/10.1039/b715524g
  6. Fair, R. B., "Digital Microfluidics: is a True Lab-on-a-chip Possible?," Microfluid. Nanofluidics., 3(3), 245-281(2007). https://doi.org/10.1007/s10404-007-0161-8
  7. Im, D. J., "Next Generation Digital Microfluidic Technology: Electrophoresis of Charged Droplets," Korean J. Chem. Eng., 32, 1001-1008(2015). https://doi.org/10.1007/s11814-015-0092-0
  8. Prakash, R., Paul, R. and Kaler, K. V. I. S., "Liquid DEP Actuation and Precision Dispensing of Variable Volume Droplets," Lab. Chip., 10(22), 3094-3102(2010). https://doi.org/10.1039/c0lc00103a
  9. Lee, J., et al., "Electrowetting and Electrowetting-on-dielectric for Microscale Liquid Handling," Sens. Actuators A Phys., 95(2), 259-268(2002). https://doi.org/10.1016/S0924-4247(01)00734-8
  10. Jung, Y. M. and Kang, I. S., "Electric Charge-mediated Coalescence of Water Droplets for Biochemical Microreactors," Biomicrofluidics, 4(2), 24104(2010). https://doi.org/10.1063/1.3427356
  11. Jung, Y. M. and Kang, I. S., "A Novel Actuation Method of Transporting Droplets by Using Electrical Charging of Droplet in a Dielectric Fluid," Biomicrofluidics, 3(2), 022402(2009). https://doi.org/10.1063/1.3122299
  12. Jung, Y. M., Oh, H. C. and Kang, I. S., "Electrical Charging of a Conducting Water Droplet in a Dielectric Fluid on the Electrode Surface," J. Colloid Interface Sci., 322(2), 617-623(2008). https://doi.org/10.1016/j.jcis.2008.04.019
  13. Im, D. J., et al., "Digital Electrophoresis of Charged Droplets," Anal. Chem., 85(8), 4038-4044(2013). https://doi.org/10.1021/ac303778j
  14. Ahn, M. M. and Kang, I. S., "Geometric Characterization of Optimal Electrode Designs for Improved Droplet Charging and Actuation," Analyst, 138(24), 7362-7368(2013). https://doi.org/10.1039/c3an01623d
  15. Lee, D. W., Im, D. J. and Kang, I. S., "Electrophoretic Motion of a Charged Water Droplet Near An Oil-air Interface," Appl. Phys. Lett., 100(22), 221602(2012). https://doi.org/10.1063/1.4723633
  16. Choi, C. Y. and Im, D. J., "Contact Charging and Electrophoresis of a Glassy Carbon Microsphere," Korean Chem. Eng. Res., 54(4), 568-573(2016). https://doi.org/10.9713/kcer.2016.54.4.568
  17. Bae, S. J. and Im, D. J., "Quantification of DNA Delivery Efficiency Labeled with Fluorescent Dye in Digital Electroporation System," Korean Chem. Eng. Res., 58(3), 450-457(2020).
  18. Yang, S. H. and Im, D. J., "Electrostatic Origins of the Positive and Negative Charging Difference in the Contact Charge Electrophoresis of a Water Droplet," Langmuir, 33(48), 13740-13748 (2017). https://doi.org/10.1021/acs.langmuir.7b03281
  19. Im, D. J., "Wall Effects on Hydrodynamic Drag and the Corresponding Accuracy of Charge Measurement in Droplet Contact Charge Electrophoresis," Langmuir, 36(17), 4785-4794(2020). https://doi.org/10.1021/acs.langmuir.0c00052
  20. Bremond, N., Thiam, A. R. and Bibette, J., "Decompressing Emulsion Droplets Favors Coalescence," Phys. Rev. Lett., 100(2), 024501 (2008). https://doi.org/10.1103/PhysRevLett.100.024501
  21. Lai, A., Bremond, N. and Stone, H. A., "Separation-driven Coalescence of Droplets: An Analytical Criterion for the Approach to Contact," J. Fluid Mech., 632, 97-107(2009). https://doi.org/10.1017/S0022112009007320
  22. Miller, A. H., Shelden, C. E. and Atkinson, W. R., "Spectral Study of the Luminosity Produced During Coalescence of Oppositely Charged Falling Water Drops," Phys. Fluids, 8(11), 1921-1928 (1965). https://doi.org/10.1063/1.1761137
  23. Taylor, G. I., "The Coalescence of Closely Spaced Drops When They are at Different Electric Potentials," Proc. R. Soc. A, 306, 423-434(1968).
  24. Priest, C., Herminghaus, S. and Seemann, R., "Controlled Electrocoalescence in Microfluidics: Targeting a Single Lamella," Appl. Phys. Lett., 89(13), 134101(2006). https://doi.org/10.1063/1.2357039
  25. Eow, J. S. and Ghadiri, M., "Drop-drop Coalescence in An Electric Field: the Effects of Applied Electric Field and Electrode Geometry," Colloids Surf. A Physicochem. Eng. Asp., 219(1), 253-279(2003). https://doi.org/10.1016/S0927-7757(03)00051-7
  26. Ristenpart, W. D., et al. "Non-coalescence of Oppositely Charged Drops," Nature, 461, 377-380(2009). https://doi.org/10.1038/nature08294
  27. Bird, J. C., et al., "Critical Angle for Electrically Driven Coalescence of Two Conical Droplets," Phys. Rev. Lett., 103(16), 164502 (2009). https://doi.org/10.1103/PhysRevLett.103.164502
  28. Mugele, F., "To Merge or Not to Merge," Nature, 461, 356-356 (2009). https://doi.org/10.1038/461356a
  29. Pierre, A. and Aitken, F., "Electrocoalescence Criterion for Two Close Anchored Water Drops and Estimate for Pairs of Drops in a Field," IEEE Trans. Ind. Appl., 46(4), 1578-1585(2010). https://doi.org/10.1109/TIA.2010.2050984
  30. Pierre, A., Lundgaard, L. and Berg, G., "A Simplified Model of Electrocoalescence of Two Close Water Droplets in Oil," J. Electrostat., 64(7), 550-554(2006). https://doi.org/10.1016/j.elstat.2005.10.009
  31. John, L. and Roxburgh, I. W., "Disintegration of Pairs of Water Drops in An Electric Field," Proc. R. Soc. A, 295, 84-97(1966).
  32. Atten, P., "Electrocoalescence of Water Droplets in An Insulating Liquid," J. Electrostat., 30, 259-269(1993). https://doi.org/10.1016/0304-3886(93)90080-Q
  33. Davis, M. H., "Two Charged Spherical Conductors in a Uniform Electric Field: Forces and Field Strength," Q. J. Mech. Appl. Math., 17(4), 499-511(1964). https://doi.org/10.1093/qjmam/17.4.499