A mathematical model for drying paint layers

Journal of Engineering Mathematics

Volumn 32, Issue 4, 1997, Pages 377-394

  Howison, S D ^b   Moriarty, J A ^c   Ockendon, J R ^b   Terrill, E L ^d   Wilson, S K ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c BAXTER HEALTHCARE CORPORATION   (United States)

^d UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Coatings; Mathematical modelling; Paints; Surface tension gradients; Thin viscous films

Indexed keywords

APPROXIMATION THEORY; DIFFUSION; DRYING; EVAPORATION; PAINT; PERTURBATION TECHNIQUES; SOLVENTS; SURFACE TENSION; THIN FILMS; VISCOSITY;

SURFACE TENSION GRADIENTS; VISCOUS FILMS;

MATHEMATICAL MODELS;

COATING; DRYING; MATHEMATICAL MODELING; SOLIDIFICATION;

EID: 0031277881     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004224014291     Document Type: Article

References (16)

1. N.P.D. Smith, S.E. Orchard and A.J. Rhind-Tutt, The physics of brush marks. J. Oil and Colour Chemists' Assoc. 44 (1961) 618-633.
2. S.E. Orchard, On surface levelling in viscous liquids and gels. Appl. Sci. Res. A 11 (1962) 451-464.
3. W.S. Overdiep, Levelling of paints. In: D.B. Spalding (ed.) Physiochemical Hydrodynamics, V.G. Levich Festschrift, Vol. 2. London: Advance Publications Limited (1978) pp. 683-697.
4. W.S. Overdiep, The levelling of paints. Prog. in Org. Coatings 14 (1986) 159-175.
5. S. Kojima, T. Moriga and K. Takenouchi, The leveling of thermosetting waterborne coatings. Part 1: Observation of leveling process. Polym. Eng. Sci. 33 (1993) 1320-1328.
6. S. Kojima, T. Moriga and K. Takenouchi, The leveling of thermosetting waterborne coatings. Part 3: Leveling under controlled conditions. Polym. Eng. Sci. 35 (1995) 1949-1954.
7. L.O. Kornum and H.K. Raaschou Nielsen, Surface defects in drying paint films. Prog. in Org. Coatings 8 (1980) 275-324.
8. S.K. Wilson, The levelling of paint films. IMA J. Appl. Math. 50 (1993) 149-166.
9. J.A. Moriarty, E.L. Terrill and S.K. Wilson, Mathematical modelling of drying paint layers. In: H. Neunzert (ed.) Progress in Industrial Mathematics at ECMI 94. Chichester and Stuttgart: John Wiley and Sons Limited and B.G. Teubner (1996) pp. 112-119.
10. L. W. Schwartz and R.R. Eley, Numerical simulation of post-application coating flows, including flows arising from surface-tension gradients. Unpublished manuscript.
11. D.E. Weidner, L.W. Schwartz and R.R. Eley, Role of surface tension gradients in correcting defects in corners. J. Coll. Interf. Sci. 179 (1996) 66-75.
12. J.P. Burelbach, S.G. Bankoff and S.H. Davis, Nonlinear stability of evaporating/condensing liquid films. J. Fluid Mech. 195 (1988) 463-494.
13. O.E. Jensen and J.B. Grotberg, Insoluble surfactant spreading on a thin viscous film: shock evolution and film rupture. J. Fluid Mech. 240 (1992) 259-288.
14. O.E. Jensen and J.B. Grotberg, The spreading of heat or soluble surfactant along a thin liquid film. Phys. Fluids A 5 (1993) 58-68.
15. A. De Wit, S. Gallez and C.I. Christov, Nonlinear evolution equations for thin liquid films with insoluble surfactants. Phys. Fluids 6 (1994) 3256-3266.
16. R. van der Hout, Personal communication. (1992).