Steady recirculating flow near static contact lines

Chemical Engineering Science

Volumn 54, Issue 6, 1999, Pages 819-828

  Gaskell, P H ^a   Thompson, H M ^a   Savage, M D ^a   Ikin, J B ^b  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b ILFORD Imaging Limited   (United Kingdom)

Author keywords

Computational fluid dynamics; Recirculating flow; Static contact lines

Indexed keywords

BOUNDARY LAYER FLOW; BOUNDARY VALUE PROBLEMS; COATINGS; COMPUTATIONAL FLUID DYNAMICS; CONTACT ANGLE; DEPOSITION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; REYNOLDS NUMBER; STEADY FLOW;

RECIRCULATING FLOW; STATIC CONTACT LINES;

ROTATIONAL FLOW;

COATING; COMPUTATIONAL FLUID DYNAMICS; MANUFACTURING SYSTEM; STEADY FLOW;

EID: 0033104965     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(98)00286-3     Document Type: Article

References (34)

1. Blake, T.D., & Ruschak, K.J. (1979). A maximum speed of wetting. Nature, 282, 489-491.
2. Blake, T.D. (1993). Dynamic contact angles and wetting kinetics, In J.C. Berg (Ed.), Wettability, pp. 251-309. Marcel Dekker, New York.
3. Blake, T.D., Clarke, A., & Ruschak, K.J. (1994). Hydrodynamic assist of dynamic wetting. A.I.Ch.E. J., 40, 229-242.
4. Blake, T.D., Bracke, M., & Shikhmurzaev, Y.D. (1998). Experimental evidence of non-local hydrodynamic influence on the dynamic contact angle. Physics of Fluids, submitted.
5. Burley, R., & Kennedy, B.S. (1976). An experimental study of air entrainment at a solid/liquid/gas interface. Chem. Engng Sci., 31, 901-911.
6. Canedo, E.L., & Denson, C.D. (1989). Flow in driven cavities with a free surface. A.I.Ch.E. J., 35, 129-138.
7. Chen, K.S.A. (1992). PhD Thesis, University of Minnesota.
8. Cohu, O., & Benkreira, H. (1997). New results on air entrainment in dip coating. Proceedings of the 2nd European Coating Symposium. Euromech 367, pp. 180-189, Strasbourg, France.
9. Dandy, D.S., & Leal, L.G. (1989). A Newton's method scheme for solving free surface flow problems. Int. J. Numer. Meth. Fluids, 9, 1469-1486.
10. Durst, F., & Wagner, H-G. (1997). Slot coating. In P. Schweizer, & S. Kistler, (Eds.), Liquid film coating, Chap. 11a, pp. 401-426. London: Chapman & Hall.
11. 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.
12. Gaskell, P.H., Savage, M.D., Summers, J.L., & Thompson, H.M. (1995). Modelling and analysis of meniscus roll coating. J. Fluid Mech., 298, 113-137.
13. Gaskell, P.H., Savage, M.D., Summers, J.L., & Thompson, H.M. (1996). Creeping flow analyses of free surface cavity flows. Theor. Computat. Fluid Dyn., 8(6), 415-433.
14. Gunzburger M.D. (1989). Finite element methods for viscous incompressible flows. Computer Science and Scientific Computing, New York: Academic Press.
15. Hens, J., & Van Abbenyen, W. (1997). Slide Coating. In P. Schweizer, & S. Kistler, (Eds.), Chap. 11b. Liquid Film Coating, pp. 427-462. London: Chapman & Hall.
16. Huh, C., & Scriven, L.E. (1971). Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J. Colloid Interface Sci., 35(1), 85-101.
17. Ikin, J.B., Summers, J.L., & Thompson, H.M. (1997a). An experimental and numerical investigation of double-layer slide coating. Proceedings of the 2nd European Coating Symposium. Euromech 367, pp. 320-328, Strasbourg, France.
18. Ikin, J.B., Gaskell, P.H., Savage, M.D., Summers, J.L., & Thompson, H.M. (1997b). Patent application no: 9715060.1, Ref. IGB 1522, Coating Apparatus.
19. Innes, G.E., Gaskell, P.H., & Savage, M.D. (1998). Cusps as a source of air entrainment in roll coating systems. Ind. Coating Res., 4, 19-40.
20. Jyotsna, R., & Vanka, S.P. (1995). Multigrid calculation of steady, viscous flow in a triangular cavity. J. Comput. Phys, 122, 107-117.
21. Kapur, N. (1998). PhD Thesis, University of Leeds.
22. Kistler, S.F., & Scriven, L.E. (1983). Coating flows. In J.R.A. Pearson & S.M. Richardson (Eds.), Computational analysis of polymer processing. pp. 243-299, Appl. Sci. Publishers.
23. Miyamoto, K., & Katagiri, Y. (1997). Curtain Coating. In P. Schweizer, & S. Kistler, (Eds.), Chap. 11c, Liquid film coating, pp. 463-494. London: Chapman & Hall.
24. Moffatt, H.K. (1964). Viscous and resistive eddies near a sharp corner. J. Fluid Mech., 18, 1-18.
25. Peeters, M.F., Habashi, W.G., & Dueck, E.G. (1987). Finite element streamfunction-vorticity solutions of the incompressible Navier-Stokes equations. Int. J. Numer Meth. Fluids, 7, 17-27.
26. Ribbens, C.J., Watson, L.T., & Wang, C-Y. (1994). Steady viscous flow in a triangular cavity. J. Comput. Phys., 112, 173.
27. Russell, T.A. (1969). Vorrichtung zum Zufuhren flussingen Beschichtungmassen. Deutsche Offenlegungsschrift 1 806 887, US Patent 3 474 758.
28. Sartor, L. (1990). PhD Thesis, University of Minnesota.
29. Schweizer, P.M. (1988). Visualization of coating flows, J. Fluid Mech., 193, 285-302.
30. Shikhmurzaev, Y.D. (1994). Mathematical modelling of wetting hydrodynamics. Fluid Dyn. Res., 13, 45-64.
31. Shikhmurzaev, Y.D. (1996). Dynamic contact angles and flow in the vicinity of a moving contact line. A.I.Ch.E. J., 42, 601-612.
32. Shikhmurzaev, Y.D. (1997). Moving contact lines in liquid/liquid/solid systems. J. Fluid Mech., 334, 211-248.
33. Thompson, H.M., Gaskell, P.H., Ikin, J.B., Savage, M.D., & Summers, J.L. (1999). An experimental and theoretical investigation of the effect of geometrical and feed conditions in slide coating processes. in preparation.
34. Wilson, M.C.T., Summers, J.L., Shikhmurzaev Y.D., Blake, T.D., & Clarke, A. (1998). Non-local hydrodynamic influence on the dynamic contact angle: real or 'apparent'? Phys. Fluids, submitted.