Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Access by Xinjiang University

Aerodynamically driven motion of a wall-bounded drop on a smooth solid substrate

Patrick M. Seiler, Mark Gloerfeld, Ilia V. Roisman*, and Cameron Tropea

  • Technische Universität Darmstadt, Institute of Fluid Mechanics and Aerodynamic Alarich-Weiss-Straße 10, 64287 Darmstadt, Germany

  • *roisman@sla.tu-darmstadt.de

Phys. Rev. Fluids 4, 024001 – Published 7 February, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.024001

Abstract

The motion of wall-bounded drops moving on solid substrates driven by a fully turbulent channel flow is experimentally investigated for four substrates of different wetting properties. An appropriate scaling has been found to describe the dimensionless drop velocity (capillary number) in terms of a dimensionless flow attack velocity, taking into account the surface wetting properties. The derived model agrees very well with the experimental observations.

Physics Subject Headings (PhySH)

Article Text

References (51)

  1. O. Arjmandi-Tash, N. M. Kovalchuk, A. Trybala, I. V. Kuchin, and V. Starov, Kinetics of wetting and spreading of droplets over various substrates, Langmuir 33, 4367 (2017).
  2. P. Dimitrakopoulos and J. J. L. Higdon, Displacement of fluid droplets from solid surfaces in low-Reynolds-number shear flows, J. Fluid Mech. 336, 351 (1997).
  3. V. Cristini and Y.-C. Tan, Theory and numerical simulation of droplet dynamics in complex flows—A review, Lab Chip 4, 257 (2004).
  4. S. Madani and A. Amirfazli, Oil drop shedding from solid substrates by a shearing liquid, Colloid Surf. A 441, 796 (2014).
  5. A. D. Schleizer and R. T. Bonnecaze, Displacement of a two-dimensional immiscible droplet adhering to a wall in shear and pressure-driven flows, J. Fluid Mech. 383, 29 (1999).
  6. M. Mahé, M. Vignes-Adler, A. Rousseau, C. G. Jacquin, and P. M. Adler, Adhesion of droplets on a solid wall and detachment by a shear flow, J. Colloid Interface Sci. 126, 314 (1988).
  7. J. Bear, Dynamics of Fluids in Porous Media (American Elsevier Publishing Company, New York, 1972).
  8. S. Tarquini, C. Antonini, A. Amirfazli, M. Marengo, and J. Palacios, Investigation of ice shedding properties of superhydrophobic coatings on helicopter blades, Cold Reg. Sci. Tech. 100, 50 (2014).
  9. T. Theodorsen and W. C. Clay, Ice prevention on aircraft by means of engine exhaust heat and a technical study of heat transmission from a Clark Y airfoil, Tech. Rep. 403, National Advisory Committee for Aeronautics, Langley Aeronautical Laboratory, Langley Field, VA, document ID 19930091477 (1933).
  10. T. Hagemeier, M. Hartmann, and D. Thévenin, Practice of vehicle soiling investigations: A review, Int. J. Multiph. Flow 37, 860 (2011).
  11. H.-J. Butt, K. Graf, and M. Kappl, Physics and Chemistry of Interfaces (John Wiley and Sons, Berlin, 2006).
  12. T. D. Blake, The physics of moving wetting lines, J. Colloid Interface Sci. 299, 1 (2006).
  13. R. G. Cox, The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow, J. Fluid Mech. 168, 169 (1986).
  14. O. V. Voinov, Hydrodynamics of wetting, Fluid Dyn. 11, 714 (1976).
  15. P.-G. De Gennes, Wetting: Statics and dynamics, Rev. Mod. Phys. 57, 827 (1985).
  16. D. Bonn, J. Eggers, J. Indekeu, J. Meunier, and E. Rolley, Wetting and spreading, Rev. Mod. Phys. 81, 739 (2009).
  17. P. A. Durbin, Considerations on the moving contact-line singularity, with application to frictional drag on a slender drop, J. Fluid Mech. 197, 157 (1988).
  18. S. F. Kistler, Hydrodynamics of wetting, in Wettability, edited by J. C. Berg, Surfactant Science Series (Marcel Dekker, New York, 1993), Vol. 6, pp. 311–430.
  19. N. Linder, Numerical simulation of complex wetting, Ph.D. thesis, Technische Universität Darmstadt, 2015.
  20. J. H. Snoeijer and B. Andreotti, Moving contact lines: Scales, regimes, and dynamical transitions, Annu. Rev. Fluid Mech. 45, 269 (2013).
  21. E. Pierce, F. J. Carmona, and A. Amirfazli, Understanding of sliding and contact angle results in tilted plate experiments, Colloid Surf. A 323, 73 (2008).
  22. G. Lu, X.-D. Wang, and Y.-Y. Duan, A critical review of dynamic wetting by complex fluids: From Newtonian fluids to non-Newtonian fluids and nanofluids, Adv. Colloid Interface Sci. 236, 43 (2016).
  23. G. Wolansky and A. Marmur, Apparent contact angles on rough surfaces: The Wenzel equation revisited, Colloid Surf. A 156, 381 (1999).
  24. S. F. Chini, V. Bertola, and A. Amirfazli, A methodology to determine the adhesion force of arbitrarily shaped drops with convex contact lines, Colloid Surf. A 436, 425 (2013).
  25. E. B. Dussan V and R. T.-P. Chow, On the ability of drops or bubbles to stick to non-horizontal surfaces of solids, J. Fluid Mech. 137, 1 (1983).
  26. N. Gao, F. Geyer, D. W. Pilat, S. Wooh, D. Vollmer, H.-J. Butt, and R. Berger, How drops start sliding over solid surfaces, Nat. Phys. 14, 191 (2017).
  27. D. W. Pilat, P. Papadopoulos, D. Schaffel, D. Vollmer, R. Berger, and H. J. Butt, Dynamic measurement of the force required to move a liquid drop on a solid surface, Langmuir 28, 16812 (2012).
  28. P. A. Durbin, On the wind force needed to dislodge a drop adhered to a surface, J. Fluid Mech. 196, 205 (1988).
  29. A. J. B. Milne and A. Amirfazli, Drop shedding by shear flow for hydrophilic to superhydrophobic surfaces, Langmuir 25, 14155 (2009).
  30. J. Fan, M. C. T. Wilson, and N. Kapur, Displacement of liquid droplets on a surface by a shearing air flow, J. Colloid Interface Sci. 356, 286 (2011).
  31. I. V. Roisman, A. Criscione, C. Tropea, D. K. Mandal, and A. Amirfazli, Dislodging a sessile drop by a high-Reynolds-number shear flow at subfreezing temperatures, Phys. Rev. E 92, 023007 (2015).
  32. S. C. Fu, W. T. Leung, and C. Y. H. Chao, Detachment of droplets in a fully developed turbulent channel flow, Aerosol Sci. Technol. 48, 916 (2014).
  33. S. Burgmann, B. Barwari, and U. Janoske, Oscillation of adhering droplets in shear flow, in Proc. 5th Intl. Conf. on Experimental Fluid Mechanics (Munich, 2018), p. 500.
  34. S. Burgmann, B. Barwari, and U. Janoske, Inner flow structure of an adhering oscillating droplet in shear flow, in Proc. 19th Intl. Symp. on the Application of Laser and Imaging Techniques to Fluid Mechanics (Lisbon, 2018).
  35. B. Barwari, S. Burgmann, and U. Janoske, Deformation and movement of adhering droplets in shear flow, in Proc. 5th Intl. Conf. on Experimental Fluid Mechanics (Munich, 2018), p. 488.
  36. S. Moghtadernejad, Dynamics of droplet shedding and coalescence under the effect of shear flow, Ph.D. thesis, Concordia University, 2014.
  37. K. Zhang, T. Wei, and H. Hu, An experimental investigation on the surface water transport process over an airfoil by using a digital image projection technique, Exp. Fluids 56, 1 (2015).
  38. I. Spruß, Ein Beitrag zur Untersuchung der Kraftfahrzeugverschmutzung in Experiment und Simulation, Ph.D. thesis, Universität Stuttgart, 2015.
  39. O. Reynolds, An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels, Philos. Trans. R. Soc. London 174, 935 (1883).
  40. A. Güttler, High accuracy determination of skin friction differences in an air channel flow based on pressure drop measurements, Ph.D. thesis, Karlsruher Institut für Technologie (KIT), 2015.
  41. R. D. Moser, J. Kim, and N. N. Mansour, Direct numerical simulation of turbulent channel flow up to Reτ=590, Phys. Fluids 11, 943 (1999).
  42. H. Schlichting and K. Gersten, Grenzschicht-Theorie, 10th ed. (Springer, Berlin, 2006).
  43. P.-G. de Gennes, F. Brochard-Wyart, and D. Quere, Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves (Springer, New York, 2004).
  44. T. S. Chan, T. Gueudré, and J. H. Snoeijer, Maximum speed of dewetting on a fiber, Phys. Fluids 23, 112103 (2011).
  45. M. Maleki, E. Reyssat, D. Quéré, and R. Golestanian, On the Landau-Levich transition, Langmuir 23, 10116 (2007).
  46. R. V. Sedev and J. G. Petrov, The critical condition for transition from steady wetting to film entrainment, Colloids Surf. 53, 147 (1991).
  47. J. H. Snoeijer, B. Andreotti, G. Delon, and M. Fermigier, Relaxation of a dewetting contact line. Part 1. A full-scale hydrodynamic calculation, J. Fluid Mech. 579, 63 (2007).
  48. A. J. B. Milne, B. Defez, M. Cabrerizo-Vílchez, and A. Amirfazli, Understanding (sessile/constrained) bubble and drop oscillations, Adv. Colloid Interface Sci. 203, 22 (2014).
  49. A. Trujillo-Pino, K. Krissian, M. Alemán-Flores, and D. Santana-Cedrés, Accurate subpixel edge location based on partial area effect, Image Vis. Comput. 31, 72 (2013).
  50. G. H. Ganser, A rational approach to drag prediction of spherical and nonspherical particles, Powder Technol. 77, 143 (1993).
  51. A. Oron, S. H. Davis, and S. G. Bankoff, Long-scale evolution of thin liquid films, Rev. Mod. Phys. 69, 931 (1997).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation