Skip to main content
Log in

Hydrodynamic analysis of the advancing dynamic contact angle in microtube

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

We explored the hydrodynamic features of dynamic wetting both theoretically and experimentally. We studied the triple-line motions of glycerol-water solutions of various viscosities (85-456 mPa·s) in microglass tubes (300, 500 and 1000 μm in diameter). First, dynamic (advancing) contact angles were measured and compared with those of a well-known hydrodynamic model (O.V. Voinov, Hydrodynamics of Wetting, Fluid Dynamics (1976)). Second, the internal flow structures near moving menisci were visualized using micro-particle image velocimetry (μ-PIV). Several differences in flow shape (compared to those predicted by theory) were observed. Ultimately, we present a new method by which dynamic contact angles may be predicted, derived from analysis of wall shearing stress at the moving contact line to reflect on the liquid-solid interaction effect. Our analysis has the advantage of incorporating the effect of contact angle hysteresis on the dynamic contact angle. The modified approach yielded data in good agreement with our experimental results and other open-literature data. We thus fundamentally explored the hydrodynamic aspects of dynamic wetting.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. W. Choi, D. I. Yu and M. H. Kim, Surface wettability effect on flow pattern and pressure drop in adiabatic twophase flows in rectangular microchannel with T–junction mixer, Experimental Thermal Fluid Science, 35 (6) (2011) 1086–1096.

    Article  Google Scholar 

  2. A. M. Barajas and R. L. Panton, The effects of contact angle on two–phase flow in capillary tubes, International Journal of Multiphase Flow, 19 (2) (1993) 337–346.

    Article  MATH  Google Scholar 

  3. C. Y. Lee and S. Y. Lee, Influence of surface wettability on transition of two–phase flow pattern in round mini–channels, International Journal of Multiphase Flow, 34 (7) (2008) 706–711.

    Article  Google Scholar 

  4. C. W. Choi, J. S. Shin, D. I. Yu and M. H. Kim, Flow boiling behaviors in hydrophilic and hydrophobic microchannels, Experimental Thermal and Fluid Science, 35 (5) (2011) 816–824.

    Article  Google Scholar 

  5. S. H. Kim, G. C. Lee, J. Y. Kang, K. Moriyama, H. S. Park and M. H. Kim, The role of surface energy in heterogeneous bubble growth on ideal surface, International Journal of Heat and Mass Transfer, 108 (2017) 1901–1909

    Article  Google Scholar 

  6. Y. Deendarlianto, S. H. Takata, A. Indarto, S. K. Widyaparaga and M. K. Purnomo, Effect of static angle on the droplet dynamics during the evaporation of a water droplet on the hot walls, International Journal of Heat and Mass Transfer, 71 (2014) 691–705.

    Article  Google Scholar 

  7. B. J. Zhang, K. Cheng, K. J. Kim, T. Hwang and H. Yoon, Dropwise steam condensation on various hydrophobic surfaces: Polyphenylene sulfide (PPS), polytetrafluoroethyele (PTFE), and self–assembled mcro/nano silver (SAMS), International Journal of Heat and Mass Transfer, 89 (2015) 353–358.

    Article  Google Scholar 

  8. Voinov, Hydrodynamics of wetting, Fluid Dynamics, 11 (1976) 714–721.

  9. R. G. Cox, The dynamics of the spreading of liquids on a solid surface, Journal of Fluid Mechanics, 168 (1986) 169–194.

    Article  MATH  Google Scholar 

  10. C. Huh and L. E. Scriven, Hydrodynamic model of steady movement of solid/liquid/fluid contact line, Journal of Colloid and Interface Science, 35 (1) (1971) 85–101.

    Article  Google Scholar 

  11. T. D. Blake and J. M. Haynes, Kinetics of liquid/liquid displacement, Journal Colloid and Interface Science, 30 (3) (1969) 421–423.

    Article  Google Scholar 

  12. P. G. Petrov and J. G. Petrov, A combined molecularhydrodynamic approach to wetting kinetics, Langmuir, 8 (7) (1992) 1762–1767.

    Article  Google Scholar 

  13. L. Chen, J. Yu and H. Wang, Convex nanobending at a moving contact line: The missing mescopic link in dynamic wetting, ACS Nano, 8 (11) (2014) 11493–11498.

    Article  Google Scholar 

  14. M. J. de Ruijter, J. De Coninck, T. D. Blake, A. Clarke and A. Rankin, Contact angle relaxation during the spreading of partially wetting drops, Langmuir, 13 (26) (1997) 7293–7298.

    Article  Google Scholar 

  15. M. de Ruijter, P. Kolsch, M. Voue, J. De Coninck and J. P. Rabe, Effect of temperature on the dynamics contact angle, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 144 (1998) 235–243.

    Article  Google Scholar 

  16. M. Schneemilch, R. A. Hayes, J. G. Petrov and J. Ralston, Dynamic wetting and dewetting of a low–energy surface by pure liquids, Langmuir, 14 (24) (1998) 7047–7051.

    Article  Google Scholar 

  17. K. Katoh, T. Wakimoto, Y. Yamamoto and T. Ito, Dynamic wetting behavior of a triple phase contact line in several experimental systems, Experimental Thermal and Fluid Science, 60 (2015) 354–360.

    Article  Google Scholar 

  18. J. G. Petrov, J. Ralston, M. Schneemilch and R. A. Hayes, Dynamics of partial wetting and dewetting in well–defined systems, Journal of Physics Chemistry B, 107 (7) (2003) 1634–1645.

    Article  Google Scholar 

  19. J. Y. Zhu, Y. Y. Duan, X. D. Wang and Q. Min, Forced wetting dynamics of sodium dodecyl sulfate glycerol solution on solid substrates, International Journal of Thermophysics, 34 (12) (2013) 2286–2296.

    Article  Google Scholar 

  20. M. Heshmati and M. Piri, Experimental investigation of dynamic contact angle and capillary rise in tubes with circular and noncircular cross sections, Langmuir, 30 (47) (2014) 14151–14162.

    Article  Google Scholar 

  21. Y. Yamamoto, K. Tokieda, T. Wakimoto, T. Ito and K. Katoh, Modeling of the dynamic wetting behavior in a capillary tube considering the macroscopic–microscopic contact angle relation and generalized Naiver boundary condition, International Journal of Multiphase Flow, 59 (2014) 106–112.

    Article  MathSciNet  Google Scholar 

  22. Y. D. Shikmurzaev, The moving contact line on a smooth solid surface, International Journal of Multiphase Flow, 19 (4) (1993) 589–610.

    Article  Google Scholar 

  23. F. Brochard–Wyart and P. G. de Gennes, Dynamics of partial wetting, Advances in Colloid and Interface Science, 39 (1992) 1–11.

    Article  Google Scholar 

  24. X. Wang, X. Peng and D. Lee, Dynamic wetting and stress singularity on contact line, Science in China E, 46 (4) (2003) 407–417.

    Article  Google Scholar 

  25. Z. Q. Liu, Y. Liu and L. Tian, Experiment research into the relationship between consistence and viscosity coefficient of glycerol (Chinese), Journal of Yanan University (Natural Science Edition), 24 (4) (2005) 58–59.

    Google Scholar 

  26. J. D. Zimmerman, High resolution measurements near a moving contact line using micro–PIV, Master Dissertation, Portland State University (2011).

    Google Scholar 

  27. T. D. Blake, The physics of moving wetting lines, Journal of Colloid and Interface Science, 299 (1) (2006) 1–13.

    Article  MathSciNet  Google Scholar 

  28. T. D. Blake and Y. D. Shikhmurzaev, Dynamic wetting by liquids of different viscosity, Journal of Colloid and Interface Science, 253 (1) (2002) 196–202.

    Article  Google Scholar 

  29. S. R. Ranabothu, C. Karnezis and L. L. Dai, Dynamic wetting: Hydrodynamic or Molecular–kinetic?, Journal of Colloid and Interface Science, 288 (1) (2005) 213–221.

    Article  Google Scholar 

  30. H. K. Moffatt, Viscous and resistive eddies near a sharp corner, Journal of Fluid Mechanics, 18 (1964) 1–18.

    Article  MATH  Google Scholar 

  31. R. L. Hoffmann, A study of advancing interface 1. Interface shape in liquid–gas systems, Journal of Colloid and Interface Science, 50 (2) (1975) 228–241.

    Article  Google Scholar 

  32. F. Heslot, A. M. Cazabat, P. Levinson and N. Fraysse, Experiment on wetting on the scale of nanometers: Influence of the surface energy, Physical Review Letter, 65 (5) (1990) 599–602.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Tao Wang or Yuyan Jiang.

Additional information

Recommended by Associate Editor Hyoung-Bum Kim

Kim, SeolHa graduated from POSTECH (South Korea) for Bachelor & Master degree (Mechanical engineering) and Doctor degree (Nuclear engineering). He worked in Korea Atomic Energy Research Institute for Post doctor researcher, studying the thermal hydraulics in nuclear engineering safety issues. Currently, He is working in CAS, IET, China, researching about fundamental phenomena in triple line of multiphase flow system.

Wang Tao graduated from UCAS (China) for Doctor degree in Thermophysics Engineering and worked in CAS, IET for Post doctor researcher. He had numerous research experience about phase change heat transfer under experimental work. Currently, He is working at the CAS, IET as an Associate Professor.

Jiang Yuyan graduated from Xi’an Jiaotong University for Bachelor, Tsinghua University (China) for Master and Tokyo University (Japan) for Doctor degree in Mechanical engineering field. Currently, he is working about various thermal engineering research projects at the CAS, IET as a Full Professor.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kim, S.H., Wang, T., Zhang, L. et al. Hydrodynamic analysis of the advancing dynamic contact angle in microtube. J Mech Sci Technol 32, 5305–5314 (2018). https://doi.org/10.1007/s12206-018-1029-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-018-1029-4

Keywords

Navigation