Experimental evidence of nonlocal hydrodynamic influence on the dynamic contact angle

Physics of Fluids

Volumn 11, Issue 8, 1999, Pages 1995-2007

  Blake, T D ^a   Bracke, M ^a   Shikhmurzaev, Y D ^b  

^a Kodak European R and D   (United Kingdom)

^b UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000217212     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870063     Document Type: Article

References (29)

1. We are dealing with macroscopic (hydrodynamic) length scales on which the interfaces can be modeled as geometric surfaces of zero thickness, and the contact angle is the angle used as a boundary condition for the partial differential equation describing the shape of the How domain. One can find a discussion on different definitions of the contact angle in Sec. VI of Ref. 7.
2. T. D. Blake and K. J. Ruschak, "Wetting: static and dynamic contact lines," in Liquid Film Coating, edited by S. F. Kistler and P. M. Schweizer (Chapman and Hall, London, 1997), pp. 63-97.
3. C. G. Ngan and E. B. Dussan V, "On the nature of the dynamic contact angle: An experimental study," J. Fluid Mech. 118, 27 (1982).
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7. Y. D. Shikhmurzaev, "Moving contact lines in liquid/liquid/solid systems," J. Fluid Mech. 334, 211 (1997).
8. R. L. Hoffman, "A study of the advancing interface. I. Interface shape in liquid-gas systems," J. Colloid Interface Sci. 50, 228 (1975).
9. R. Burley and B. S. Kennedy, "An experimental study of air entrainment at a solid/liquid/gas interface," Chem. Eng. Sci. 31, 901 (1976).
10. T. D. Blake, "Dynamic contact angles and wetting kinetics," in Wettability, edited by J. C. Berg (Dekker, New York, 1993), pp. 251-309.
11. T. D. Blake and K. J. Ruschak, "A maximum speed of wetting," Nature (London) 282, 489 (1979).
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13. A. Clarke, "Recirculating flows in curtain coating," in The Mechanics of Thin Film Coatings, edited by P. H. Gaskell, M. D. Savage, and J. L. Summers (World Scientific, Singapore, 1996), pp. 32-41.
14. M. C. T. Wilson, J. L. Summers, Y. D. Shikhmurzaev, A. Clarke, and T. D. Blake, "Non-local hydrodynamic influence on the dynamic contact angle: Real or 'apparent'?" (unpublished).
15. M. Y. Zhou and P. Sheng, "Dynamics of immiscible fluid displacement in a capillary tube," Phys. Rev. Lett. 64, 882 (1990).
16. M. Fermigier and P. Jenffer, "An experimental investigation of the dynamic contact angle in liquid-liquid systems," J. Colloid Interface Sci. 146, 226 (1991).
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18. Y. D. Shikhmurzaev, "Spreading of drops on solid surfaces in a quasistatic regime," Phys. Fluids 9, 266 (1997).
19. E. B. Dussan V, "On the spreading of liquids on solid surfaces: Static and dynamic contact lines," Annu, Rev. Fluid Mech. 11, 371 (1979).
20. E. B. Dussan V and S. H. Davis, "On the motion of a fluid-fluid interface along a solid surface," J. Fluid Mech. 65, 71 (1974).
21. Convective momentum fluxes along the interfaces are negligibly small compared with the surface tensions: see Ref. 6 for the order-of-magnitude analysis.
22. D to change. Indeed, the bulk stress, if integrable, produces no force while acting on a line. On the other hand, if some nonhydrodynamic forces come into play when the contact line starts to move, then, according to our experiments, they have to be dependent on the flow in the bulk. Hence they would have the same properties as the surface tensions and could be formally incorporated into the latter.
23. Y. D. Shikhmurzaev, "Mathematical modeling of wetting hydrodynamics," Fluid Dyn. Res. 13, 45 (1994).
24. s in Eq. (6).
25. The Scientific Papers of J. Willard Gibbs (Yale University Press, New Haven, CT, 1928), pp. 219-331.
26. Y. D. Shikhmurzaev, ΔOn cusped interfaces,Δ J. Fluid Mech. 359, 313 (1998).
27. H. K. Moffat, "Viscous and resistive eddies near a sharp corner," J. Fluid Mech. 18, 1 (1964).
28. In the case of a liquid/liquid/solid system, see a remark at the end of Sec. IV in Ref. 7.
29. P. H. Gaskell, M. D. Savage, J. L. Summers, and H. M. Thompson, "Free surface Stokes' flow between contra-rotating cylinders: transfer paths, structure and transformation,Δ submitted to Theor. Comput. Fluid Dyn. (1998).