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Kamyabi, Mohammadmahdi, Kamyabi, Ata. (1400). On the Dynamic Contact Angle in Capillary Flows. , 55(2), 243-256. doi: 10.22059/jchpe.2021.318146.1346
Mohammadmahdi Kamyabi; Ata Kamyabi. "On the Dynamic Contact Angle in Capillary Flows". , 55, 2, 1400, 243-256. doi: 10.22059/jchpe.2021.318146.1346
Kamyabi, Mohammadmahdi, Kamyabi, Ata. (1400). 'On the Dynamic Contact Angle in Capillary Flows', , 55(2), pp. 243-256. doi: 10.22059/jchpe.2021.318146.1346
Kamyabi, Mohammadmahdi, Kamyabi, Ata. On the Dynamic Contact Angle in Capillary Flows. , 1400; 55(2): 243-256. doi: 10.22059/jchpe.2021.318146.1346

On the Dynamic Contact Angle in Capillary Flows

Journal of Chemical and Petroleum Engineering
مقاله 4، دوره 55، شماره 2، اسفند 2021، صفحه 243-256    اصل مقاله (958.38 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jchpe.2021.318146.1346
نویسندگان
Mohammadmahdi Kamyabi* 1؛ Ata Kamyabi2
1Department of Chemical Engineering ,College of Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
2Department of Chemical Engineering, College of Engineering, Shahid Bahonar University of Kerman, Kerman, Iran
چکیده
The displacement of the contact line (CL) between two arbitrary immiscible flowing fluids was modeled. The present model is valid for a wide range of viscosity ratios of the phases. This is while the previously developed models reported in the literature were devoted to special cases i.e. high viscosity fluid pushing the low viscosity fluid. The present model reveals a direct relationship among the dynamic contact angle, the dimensionless pressure difference in the channel/tube, the Capillary numbers of both phases, and the characteristic length ratios of the channel/tube. The model was validated through the agreement of its predictions for the dynamic contact angle with the available data for a case of water-air flow inside a tube. Then, it was applied to more general cases with different viscosity ratios. According to the results, by increasing the ratio of the viscosity of the advancing phase to the viscosity of the receding phase, the dynamic contact angle reaches more quickly to its final value. It was also seen that by increasing the ratio of the length to the diameter of the tube the evolution of the dynamic contact angle becomes slower. The most interesting point is that a unique behavior is seen and a master curve is achieved if the time becomes dimensionless with a changing parameter (not a fixed parameter). This facilitates the way to predict and interpret the dynamic contact angle in the most general way.
کلیدواژه‌ها
Capillary number؛ Microfluidics؛ Dynamic contact angle؛ Static contact angle؛ Surface tension
مراجع
  1. Prokopev S, Vorobev A, Lyubimova T. Phase-field modeling of an immiscible liquid-liquid displacement in a capillary. Physical Review E. 2019;99(3):033113.
  2. Wu P, Nikolov AD, Wasan DT. Capillary rise: validity of the dynamic contact angle models. Langmuir. 2017;33(32):7862-72.
  3. Liu J, Sheng JJ, Wang X, Ge H, Yao E. Experimental study of wettability alteration and spontaneous imbibition in Chinese shale oil reservoirs using anionic and nonionic surfactants. Journal of Petroleum Science and Engineering. 2019;175:624-33.
  4. Blake T, Batts G. The temperature-dependence of the dynamic contact angle. Journal of colloid and interface science. 2019;553:108-16.
  5. Wang X, Min Q, Zhang Z, Duan Y, Zhang Y, Zhai J. Influence of head resistance force and viscous friction on dynamic contact angle measurement in Wilhelmy plate method. Colloids and Surfaces A: Physicochemical and Engineering Aspects. 2017;527:115-22.
  6. Burley R, Jolly RP. Entrainment of air into liquids by a high speed continuous solid surface. Chemical Engineering Science. 1984;39(9):1357-72.
  7. Hoffman RL. A study of the advancing interface. I. Interface shape in liquid—gas systems. Journal of colloid and interface science. 1975;50(2):228-41.
  8. Wilson S. A note on the measurement of dynamic contact angles. Journal of Colloid and Interface Science. 1975;51(3):532-4.
  9. Thompson PA, Robbins MO. Simulations of contact-line motion: slip and the dynamic contact angle. Physical Review Letters. 1989;63(7):766.
  10. Omori T, Kajishima T. Apparent and microscopic dynamic contact angles in confined flows. Physics of Fluids. 2017;29(11):112107.
  11. Eggers J, Stone HA. Characteristic lengths at moving contact lines for a perfectly wetting fluid: the influence of speed on the dynamic contact angle. Journal of Fluid Mechanics. 2004;505:309-21.
  12. Šikalo Š, Wilhelm H-D, Roisman I, Jakirlić S, Tropea C. Dynamic contact angle of spreading droplets: Experiments and simulations. Physics of Fluids. 2005;17(6):062103.
  13. Jiang T-S, Soo-Gun O, Slattery JC. Correlation for dynamic contact angle. Journal of colloid and interface science. 1979;69(1):74-7.
  14. Bracke M, De Voeght F, Joos P. The kinetics of wetting: the dynamic contact angle.  Trends in Colloid and Interface Science III: Springer; 1989. p. 142-9.
  15. Kamyabi A, SA AR, Kamyabi M. Surfactant effects on the efficiency of oil sweeping from the dead ends: Numerical simulation and experimental investigation. Chemical Engineering Research and Design. 2015;94:173-81.
  16. De Gennes P-G. Wetting: statics and dynamics. Reviews of modern physics. 1985;57(3):827.
  17. Cox R. The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow. Journal of fluid mechanics. 1986;168:169-94.
  18. Hocking L. A moving fluid interface. Part 2. The removal of the force singularity by a slip flow. Journal of Fluid Mechanics. 1977;79(2):209-29.
  19. Blake TD. The physics of moving wetting lines. Journal of colloid and interface science. 2006;299(1):1-13.
  20. De Ruijter MJ, Blake T, De Coninck J. Dynamic wetting studied by molecular modeling simulations of droplet spreading. Langmuir. 1999;15(22):7836-47.
  21. Rolley E, Guthmann C. Dynamics and hysteresis of the contact line between liquid hydrogen and cesium substrates. Physical review letters. 2007;98(16):166105.
  22. Fermigier M, Jenffer P. An experimental investigation of the dynamic contact angle in liquid-liquid systems. Journal of colloid and interface science. 1991;146(1):226-41.
  23. Washburn EW. The dynamics of capillary flow. Physical review. 1921;17(3):273.
  24. Hilpert M. Effects of dynamic contact angle on liquid infiltration into horizontal capillary tubes:(Semi)-analytical solutions. Journal of colloid and interface science. 2009;337(1):131-7.
  25. Hilpert M. Effects of dynamic contact angle on liquid withdrawal from capillary tubes:(Semi)-analytical solutions. Journal of colloid and interface science. 2010;347(2):315-23.
  26. Hilpert M. Explicit analytical solutions for liquid infiltration into capillary tubes: Dynamic and constant contact angle. Journal of colloid and interface science. 2010;344(1):198-208.
  27. Hilpert M. Liquid withdrawal from capillary tubes: explicit and implicit analytical solution for constant and dynamic contact angle. Journal of colloid and interface science. 2010;351(1):267-76.
  28. Cai J, Perfect E, Cheng C-L, Hu X. Generalized modeling of spontaneous imbibition based on Hagen–Poiseuille flow in tortuous capillaries with variably shaped apertures. Langmuir. 2014;30(18):5142-51.
  29. Cai J, Hu X, Standnes DC, You L. An analytical model for spontaneous imbibition in fractal porous media including gravity. Colloids and Surfaces A: Physicochemical and Engineering Aspects. 2012;414:228-33.
  30. Li C, Shen Y, Ge H, Zhang Y, Liu T. Spontaneous imbibition in fractal tortuous micro-nano pores considering dynamic contact angle and slip effect: phase portrait analysis and analytical solutions. Scientific reports. 2018;8(1):1-13.
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