Boundary integral simulations of liquid emptying from a model gravure cell

Physics of Fluids

Volumn 20, Issue 9, 2008, Pages

  Hoda, Nazish ^a   Kumar, Satish ^a  

^a University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALLOGRAPHY;

BOUNDARY INTEGRALS; CAPILLARY NUMBERS; EXTENSIONAL VELOCITY; FREE-SURFACE DYNAMICS; HORIZONTAL SUBSTRATES; IMPOSED PRESSURE GRADIENT; SIMILAR MODELS; SURFACE WETTABILITY;

NEWTONIAN LIQUIDS;

EID: 53549083205     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2980035     Document Type: Article

References (26)

1. M. Pudas, J. Hagberg, and S. Leppävuori, "The absorption ink transfer mechanism of gravure offset printing for electronic circuitry," IEEE Trans. Electron. Packag. Manuf. ITEPFL1521-334X10.1109/TEPM.2002.807728 25, 335 (2002).
2. R. Patel and H. Benkreira, "Gravure roll coating of Newtonian liquids," Chem. Eng. Sci. CESCAC0009-250910.1016/ 0009-2509(91)80181-W 46, 751 (1991).
3. W. W. Pulkrabek and J. D. Munter, "Knurl roll design for stable rotogravure coating," Chem. Eng. Sci. CESCAC0009-250910.1016/ 0009-2509(83)80051-7 38, 1309 (1983).
4. H. Benkreira and R. Patel, "Direct gravure roll coating," Chem. Eng. Sci. CESCAC0009-250910.1016/0009-2509(93)80248-O 48, 2329 (1993).
5. H. Benkreira and O. Cohu, "Direct forward gravure coating on unsupported web," Chem. Eng. Sci. CESCAC0009-250910.1016/ S0009-2509(97)00446-6 53, 1223 (1998).
6. N. Kapur, "A parametric study of direct gravure coating," Chem. Eng. Sci. CESCAC0009-250910.1016/S0009-2509(03)00136-2 58, 2875 (2003).
7. X. Yin and S. Kumar, "Flow visualization of the liquid-emptying process in scaled-up gravure grooves and cells," Chem. Eng. Sci. CESCAC0009-250910.1016/j.ces.2005.07.039 61, 1146 (2006).
8. L. W. Schwartz, P. Moussalli, P. Campbell, and R. R. Eley, "Numerical modelling of liquid withdrawal from gravure cavities in coating operations," Trans. IChemE, Part C FBPREO0960-308510.1205/ 026387698524550 76, 22 (1998).
9. L. W. Schwartz, "Numerical modelling of liquid withdrawal from gravure cavities in coating operations; the effect of cell pattern," J. Eng. Math. JLEMAU0022-083310.1023/A:1016136130268 42, 243 (2002).
10. C. A. Powell, M. D. Savage, and P. H. Gaskell, "Modelling the meniscus evacuation problem in direct gravure coating," Trans. IChemE, Part C FBPREO0960-308510.1205/026387600527086 78, 61 (2000).
11. D. Gamota, P. Brazis, K. Kalyanasundaram, and J. Zhang, Printed Organic and Molecular Electronics (Kluwer, Boston, 2004).
12. N. Hoda, "Dynamics of complex fluids and complex flows near surfaces," Ph.D. thesis, University of Minnesota, 2008.
13. A. Mazouchi, C. M. Gramlich, and G. M. Homsy, "Time-dependent free surface Stokes flow with a moving contact line. I. Flow over plane surfaces," Phys. Fluids PHFLE61070-663110.1063/1.1688794 16, 1647 (2004).
14. M. A. Kelmanson, "Boundary integral equation solution of viscous flows with free surfaces," J. Eng. Math. JLEMAU0022-0833 17, 329 (1983).
15. M. A. Jaswon and G. T. Symm, Integral Equation Methods in Potential Theory and Elastostatics (Academic, New York, 1977).
16. G. Fairweather, F. J. Rizzo, D. J. Shippy, and Y. S. Wu, "On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method," J. Comput. Phys. JCTPAH0021-999110.1016/0021-9991(79)90064-0 31, 96 (1979).
17. M. A. Kelmanson, "An integral equation method for the solution of singular slow flow problems," J. Comput. Phys. JCTPAH0021-999110.1016/0021-9991(83)90084-0 51, 139 (1983).
18. W. Lu and H.-C. Chang, "An extension of the biharmonic boundary integral method to free surface flow in channels," J. Comput. Phys. JCTPAH0021-999110.1016/0021-9991(88)90173-8 77, 340 (1988).
19. R. Goodwin and G. M. Homsy, "Viscous flow down a slope in the vicinity of a contact line," Phys. Fluids A PFADEB0899-821310.1063/ 1.858113 3, 515 (1991).
20. C. M. Gramlich, A. Mazouchi, and G. M. Homsy, "Time-dependent free surface Stokes flow with a moving contact line. II. Flow over wedges and trenches," Phys. Fluids PHFLE61070-663110.1063/1.1687684 16, 1660 (2004).
21. A. Moosavi, M. Rauscher, and S. Dietrich, "Motion of nanodroplets near edges and wedges," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.97.236101 97, 236101 (2006).
22. A. Moosavi, M. Rauscher, and S. Dietrich, "Motion of nanodroplets near chemical heterogeneities," Langmuir LANGD50743-746310.1021/ la7017677 24, 734 (2008).
23. C. Huh and S. G. Mason, "The steady movement of a liquid meniscus in a capillary tube," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112077002134 81, 401 (1977).
24. J. Lowndes, "The numerical simulation of the steady movement of a fluid meniscus in a capillary tube," J. Fluid Mech. JFLSA70022-112010.1017/S0022112080001838 101, 631 (1980).
25. J. A. Moriarty and L. W. Schwartz, "Effective slip in numerical calculations of moving-contact-line problems," J. Eng. Math. JLEMAU0022-083310.1007/BF00043228 26, 81 (1992).
26. M. J. Kim, S. Song, S. J. Kwon, and H. H. Lee, "Trapezoidal structure for residue-free filling and patterning," J. Phys. Chem. C JPCCCK1932-744710.1021/jp0623342 111, 1140 (2007).