Bead-break instability

Physics of Fluids

Volumn 13, Issue 5, 2001, Pages 1243-1253

  Gaskell, P H ^a   Kapur, N ^a   Savage, M D ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; LUBRICATION; MATHEMATICAL MODELS; ROLLS (MACHINE COMPONENTS); SURFACE TENSION;

FLOW RATE;

FLUIDS;

COATING; MATHEMATICAL MODELING; MENISCUS;

EID: 0035341031     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1352627     Document Type: Article

References (33)

1. M. D. Savage, "Cavitation in lubrication. Part 1. On boundary conditions and cavity-fluid interfaces," J. Fluid Mech. 80, 743 (1977).
2. M. D. Savage, "Mathematical models for coating processes," J. Fluid Mech. 117, 443 (1982).
3. H. Benkreira, M. F. Edwards, and W. L. Wilkinson, "Roll coating of purely viscous liquids," Chem. Eng. Sci. 36, 429 (1981).
4. D. J. Coyle, "The fluid mechanics of roll coating: Steady flows, stability, and rheology," Ph.D. thesis. University of Minnesota, Minneapolis, 1984.
5. D. J. Coyle, C. W. Macosko, and L. E. Scriven, "Film-splitting flows in forward roll coating," J. Fluid Mech. 171, 183 (1986).
6. M. Decré, E. Gailly, and J. M. Buchlin, "Meniscus shape experiments in forward roll coating," Phys. Fluids 7, 458 (1995).
7. P. J. Wicks, M. Decré, P. Planquart, and J. M. Buchlin, "Flow topology associated with disjoint eddies in an asymmetric film-splitting problem," Phys. Rev. E 52, R1281 (1995).
8. P. H. Gaskell, M. D. Savage, and H. M. Thompson, "Stagnation-saddle points and flow patterns in Stokes flow between contra-rotating cylinders," J. Fluid Mech. 370, 221 (1998).
9. J. R. A. Pearson, "The instability of uniform viscous flow under rollers and spreaders," J. Fluid Mech. 7, 481 (1960).
10. E. Pitts and J. Greiller, "The flow of thin liquid films between rollers," J. Fluid Mech. 11, 33 (1961).
11. M. D. Savage, "Cavitation in lubrication. Part 2. Analysis of wavy interfaces," J. Fluid Mech. 80, 757 (1977).
12. M. D. Savage, "Mathematical model for the onset of ribbing," AIChE J. 30, 999 (1984).
13. G. C. Carter and M. D. Savage, "Ribbing in a variable speed two-roll coaler," Math. Eng. Ind. 1(1), 83 (1987).
14. D. J. Coyle, "Roll coating flows II: The ribbing instability," Ind. Coat. Res. 1, 44 (1992).
15. T. Hasegawa and K. Sorimachi, "Wavelength and depth of ribbing in roll coating and its elimination," AIChE J. 39, 935 (1993).
16. M. Decre, E. Gailly, and J. M. Buchlin, "Meniscus control by string in roll coating experiments," AIChE J. 42, 1583 (1996).
17. M. E. G. Castillo and A. T. Patera, "Three-dimensional ribbing instability in symmetric forward-roll film-coating processes," J. Fluid Mech. 335, 323 (1997).
18. N. Daniels, "Instabilities in roll and slot coating flows," Ph.D. thesis, University of Leeds, 1998.
19. B. Malone, "An experimental investigation of roll coating phenomena," Ph.D. thesis, University of Leeds, 1992.
20. P. H. Gaskell, M. D. Savage, J. L. Summers, and H. M. Thompson, "Modelling and analysis of meniscus roll coating," J. Fluid Mech. 298, 113 (1995).
21. P. H. Gaskell, G. E. Innes, and M. D. Savage, "An experimental investigation of meniscus roll coating," J. Fluid Mech. 355, 17 (1998).
22. P. H. Gaskell and M. D. Savage, Liquid Film Coating (Chapman and Hall, London, 1997), pp. 573-597.
23. N. Kapur, "Flow phenomena in fixed gap and gravure roll coating systems," Ph.D. thesis, University of Leeds, 1999.
24. M. Rabaud, S. Michalland, and Y. Couder, "Dynamical regimes of directional viscous fingering-spatiotemporal chaos and wave-propagation," Phys. Rev. Lett. 64, 184 (1990).
25. M. Rabaud and V. Hakim, Instabilities and Nonequilibrium Structures III (Kluwer Academic, Dordrecht, 1991), pp. 217-223.
26. S. Michalland, "Etude des differents regimes dynamiques de l'instabilite de l'impremeur," Ph.D. thesis. U. Paris VI, 1992.
27. S. Michalland, M. Rabaud, and Y. Couder, "Instabilities of the upstream meniscus in directional viscous fingering," J. Fluid Mech. 312, 125 (1996).
28. D. A. Reinelt, "The primary and inverse instabilities of directional viscous fingering." J. Fluid Mech. 285, 303 (1995).
29. G. E. Innes, "An experimental and theoretical study of viscous lifting in tribology," Ph.D. thesis, University of Leeds, 1993.
30. L. Landau and B. Levich, "Dragging of a liquid by a moving plate," Acta Physicochim. URSS 17, 42 (1942).
31. M. J. Gostling, M. D. Savage, and M. C. T. Wilson, "Flow in a double film fed fluid bead between contra-rotating rolls part II: Bead break and flooding," Eur. J. Appl. Math, (in press).
32. D. J. Coyle, Liquid Film Coating (Chapman and Hall, London, 1997), pp. 539-571.
33. K. J. Ruschak, "Boundary conditions at a liquid/air interface in lubrication flows," J. Fluid Mech. 119, 107 (1982).