The effect of the contact line on droplet spreading

Journal of Fluid Mechanics

Volumn 223, Issue , 1991, Pages 57-81

  Haley, Patrick J ^a   Miksis, Michael J ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; LIQUIDS--DROP FORMATION; LUBRICATION--THEORY; MATHEMATICAL TECHNIQUES--NUMERICAL METHODS;

CONTACT LINES; DROPLET SPREADING;

FLOW OF FLUIDS;

EID: 0026103110     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112091001337     Document Type: Article

References (27)

1. CANITTO C., HUSSAINI M. Y., QUARTERONI, A. & ZANG, T. A. 1988 Spectral Methods in Fluid Dynamics. Springer.
2. CHEN J. 1988 Experiments on a spreading drop and its contact angle on a solid. J. Colloid Interface Sci. 122, 60–72.
3. DAVIS S. H. 1980 Moving contact lines and rivulet instabilities. Part 1. The static rivulet. J. Fluid Mech. 98, 225–242.
4. DAVIS S. H. 1983 Contact-line problems in fluid mechanics. Trans. ASME E: J. Appl. Mech. 50, 977–982.
5. DUSSAN V. E. B. 1976 The moving contact line: the slip boundary condition. J. Fluid Mech. 77, 665–684.
6. DUSSAN V. E. B. 1979 On the spreading of liquids on solid surfaces: Static and dynamic contact lines. Ann. Rev. Fluid Mech. 11, 371–400.
7. DUSSAN V. E. B. & DAVIS, S. H. 1974 On the motion of a fluid-fluid interface along a solid surface. J. Fluid Mech. 65, 71–95.
8. EHRHARD P. & DAVIS, S. H. 1990 Non-isothermal spreading of liquid drops on horizontal plates. Applied Mathematics Tech. Rep. 8920. Northwestern University, Evanston, IL.
9. GENNES P. G. DE 1985 Wetting: statics and dynamics. Rev. Mod. Phys. 57, 827–863.
10. GOTTLIEB D. & ORSZAG, S. A. 1977 Numerical Analysis of Spectral Methods: Theory and Applications. CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 26, SIAM.
11. GREENSPAN H. P. 1978 On the motion of a small viscous droplet that wets a surface. J. Fluid Mech. 84, 125–143.
12. GREENSPAN H. P. & MCCAY, B. M. 1981 On the wetting of a surface by a very viscous fluid. Stud. Appl. Maths 64, 95–112.
13. HALEY P. J. 1990 A numerical investigation of contact line motion. Thesis, Department of Applied Mathematics, Northwestern University, Evanston, IL.
14. HOCKING L. M. 1977 A moving fluid interface. Part 2. The removal of the force singularity by a slip flow. J. Fluid Mech. 77, 209–229.
15. HOCKING L. M. 1981 Sliding and spreading of thin two-dimensional drops. Q. J. Mech. Appl. Maths 34, 37–55.
16. HOCKING L. M. 1983 The spreading of a thin drop by gravity and capillarity. Q. J. Mech. Appl. Maths 36, 55–69.
17. HOCKING L. M. & RIVERS, A. D. 1982 The spreading of a drop by capillary action. J. Fluid Mech. 121, 425–442.
18. HOFFMAN R. L. 1975 A study of the advancing interface. I. Interface shape in liquid-gas systems. J. Colloid Interface Sci. 50, 228–241.
19. HUH E. & MASON, S. G. 1977 The steady movement of a liquid meniscus in a capillary tube. J. Fluid Mech. 81, 401–419.
20. HUH E. & SCRIVEN, L. E. 1971 Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J. Colloid Interface Sci. 35, 85–101.
21. JANSONS K. M. 1986 Moving contact lines at non-zero capillary number. J. Fluid Mech. 167, 393–407.
22. JOHNSON R. E., DETTRE, R. H. & BRANDRETH, D. A. 1977 Dynamic contact angles and contact angle hysteresis. J. Colloid Interface Sci. 62, 205–212.
23. KOPLIK J., BANAVAR, J. R. & WILLEMSEN, J. F. 1989 Molecular dynamics of a fluid flow at solid surfaces. Phys. Fluids A 1, 781–794.
24. ROSENBLAT S. & DAVIS, S. H. 1985 How do liquid drops spread on solids ? In Frontiers in Fluid Mechanics (ed. S. H. Davis & J. L. Lumley), pp. 171–183. Springer.
25. STAROV V. M. 1983 Spreading of droplets of nonvolatile liquids over a flat surface. Colloid J. USSR (English Transl.) 45, 1009.
26. VAN DYKE, M. 1975 Perturbation Methods in Fluid Mechanics. Parabolic.
27. YOUNG G. W. & DAVIS, S. H. 1987 A plate oscillating across a liquid interface: effects of contact-angle hysteresis. J. Fluid Mech. 174, 327–356.