Stretching and slipping of liquid bridges near plates and cavities

Physics of Fluids

Volumn 21, Issue 9, 2009, Pages

  Dodds, Shawn ^a   da Silveira Carvalho, Marcio ^b   Kumar, Satish ^a  

^a University of Minnesota   (United States)

^b PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FLOW; CONTACT ANGLE; NEWTONIAN LIQUIDS; SURFACE TOPOGRAPHY; WETTING;

CAPILLARY NUMBERS; CONTACT LINE MOTION; CONTACT LINE PINNING; EXTENSIONAL RHEOMETRY; HIGH-SPEED PRINTING; KINEMATIC BOUNDARY CONDITIONS; LOW CAPILLARY NUMBERS; SURFACE WETTABILITY;

CAPILLARITY;

EID: 71049155360     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3212963     Document Type: Conference Paper

References (51)

1. L. Rayleigh, "On the instability of jets," Proc. R. Soc. London 10, 4 (1878).
2. J. A. F. Plateau, "Experimental and theoretical researches on the figures of equilibrium of a liquid mass withdrawn from the action of gravity, etc.," Annual Reports of the Smithsonian Institution (Smithsonian Institution Press, Washington, D.C., 1863).
3. S. Gaudet, G. H. McKinley, and H. A. Stone, "Extensional deformation of Newtonian liquid bridges," Phys. Fluids 8, 2568 (1996).
4. M. Yao and G. H. McKinley, "Numerical simulation of extensional deformations of viscoelastic liquid bridges in filament stretching devices," J. Non-Newtonian Fluid Mech. 74, 47 (1998).
5. J. Meseguer, "The breaking of axisymmetric slender liquid bridges," J. Fluid Mech. 130, 123 (1983).
6. C. A. Powell, M. D. Savage, and J. T. Guthrie, "Computational simulation of the printing of Newtonian liquid from a trapezoidal cavity," Int. J. Numer. Methods Heat Fluid Flow 12, 338 (2002).
7. J. Eggers, "Nonlinear dynamics and breakup of free-surface flows," Rev. Mod. Phys. 69, 865 (1997).
8. J. Eggers and E. Villermaux, "Physics of liquid jets," Rep. Prog. Phys. 71, 036601 (2008).
9. X. Pepin, D. Rossetti, S. M. Iveson, and S. J. R. Simons, "Modeling the evolution and rupture of pendular liquid bridges in the presence of large wetting hysteresis," J. Colloid Interface Sci. 232, 289 (2000).
10. R. D. Gillette and D. C. Dyson, "Stability of fluid interfaces of revolution between equal solid circular plates," Chem. Eng. J. 2, 44 (1971).
11. D. Rivas and J. Meseguer, "One-dimensional self-similar solution of the dynamics of axisymmetric slender liquid bridges," J. Fluid Mech. 138, 417 (1984).
12. M. Tjahjadi, H. A. Stone, and J. M. Ottino, "Satellite and subsatellite formation in capillary breakup," J. Fluid Mech. 243, 297 (1992).
13. S. Tomotika, "Breaking up of a drop of viscous liquid immersed in another viscous fluid which is extending at a uniform rate," Proc. R. Soc. London, Ser. A 153, 302 (1936).
14. T. Mikami, R. G. Cox, and S. G. Mason, "Breakup of extending liquid threads," Int. J. Multiphase Flow 2, 113 (1975).
15. I. Frankel and D. Weihs, "Stability of a capillary jet with linearly increasing axial velocity awith application to shaped chargesb," J. Fluid Mech. 155, 289 (1985).
16. I. Frankel and D. Weihs, "Influence of viscosity on the capillary instability of a stretching jet," J. Fluid Mech. 185, 361 (1987).
17. R. Sridhar, V. Tirtaatmadja, D. A. Nguyen, and R. K. Gupta, "Measurement of extensional viscosity of polymer solutions," J. Non-Newtonian Fluid Mech. 40, 271 (1991).
18. R. W. G. Shipman, M. M. Denn, and R. Keunings, "Mechanics of the 'falling plate' extensional rheometer," J. Non-Newtonian Fluid Mech. 40, 281 (1991).
19. X. Zhang, R. S. Padgett, and O. A. Basaran, "Nonlinear deformation and breakup of stretching liquid bridges," J. Fluid Mech. 329, 207 (1996).
20. D. Papageorgiou, "On the breakup of viscous liquid threads," Phys. Fluids 7, 1529 (1995).
21. J. Eggers, "Universal pinching of 3D axisymmetric free-surface flow," Phys. Rev. Lett. 71, 3458 (1993).
22. M. Renardy, "Similarity solutions for jet breakup for various models of viscoelastic fluids," J. Non-Newtonian Fluid. Mech. 104, 65 (2002).
23. P. Doshi, R. Suryo, O. E. Yildirim, G. H. McKinley, and O. A. Basaran, "Scaling in pinch-off of generalized Newtonian fluids," J. Non-Newtonian Fluid Mech. 113, 1 (2003).
24. M. Renardy and Y. Renardy, "Similarity solutions for breakup of jets of power law fluids," J. Non-Newtonian Fluid Mech. 122, 303 (2004).
25. O. E. Yildirim and O. A. Basaran, "Deformation and breakup of stretching bridges of Newtonian and shear-thinning liquids: Comparison of one- and two-dimensional models," Chem. Eng. Sci. 56, 211 (2001).
26. B. Ambravaneswaran and O. A. Basaran, "Effects of insoluble surfactants on the nonlinear deformation and breakup of stretching liquid bridges," Phys. Fluids 11, 997 (1999).
27. Y-C Liao, E. I. Franses, and O. A. Basaran, "Deformation and breakup of a stretching liquid bridge covered with an insoluble surfactant monolayer," Phys. Fluids 18, 022101 (2006).
28. C. A. Powell, M. D. Savage, and P. H. Gaskell, "Modelling the meniscus evacuation problem in direct gravure coating," Trans. IChemE, Part C 78, 61 (2000).
29. X. Yin and S. Kumar, "Flow visualization of the liquid-emptying process in scaled up gravure grooves and cells," Chem. Eng. Sci. 61, 1146 (2006).
30. S. Reddy, P. R. Schunk, and R. T. Bonnecaze, "Dynamics of low capillary number interfaces moving through sharp features," Phys. Fluids 17, 122104 (2005).
31. N. Hoda and S. Kumar, "Boundary integral simulations of liquid emptying from a model gravure cell," Phys. Fluids 20, 092106 (2008).
32. W.-X. Huang, S.-H. Lee, H. J. Sung, T.-M. Lee, and D.-S. Kim, "Simulation of liquid transfer between separating walls for modeling microgravure-offset printing," Int. J. Heat Fluid Flow 29, 1436 (2008).
33. 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 76, 22 (1998).
34. L. W. Schwartz, "Numerical modelling of liquid withdrawal from gravure cavities in coating operations: The effect of cell pattern," J. Eng. Math. 42, 243 (2002).
35. F. M. Orr, L. E. Scriven, and A. P. Rivas, "Pendular rings between solids: Meniscus properties and capillary force," J. Fluid Mech. 67, 723 (1975).
36. M. E. D. Urso, C. J. Lawrence, and M. J. Adams, "A two-dimensional study of the rupture of funicular liquid bridges," Chem. Eng. Sci. 57, 677 (2002).
37. S. Cai and B. Bhushan, "Meniscus and viscous forces during separation of hydrophilic and hydrophobic surfaces with liquid-mediated contacts," Mater. Sci. Eng. R 61, 78 (2008).
38. E. J. De Souza, M. Brinkmann, C. Mohrdieck, A. Crosby, and E. Arzt, "Capillary forces between chemically different substrates," Langmuir 24, 10161 (2008).
39. L. Vagharchakian, F. Restagno, and L. Léger, "Capillary bridge formation and breakage: A test to characterize antiadhesive surfaces," J. Phys. Chem. B 113, 3769 (2009).
40. A. M. J. Davis and A. L. Frenkel, "Cylindrical liquid bridges squeezed between parallel plates: Exact Stokes flow solutions and hydrodynamic forces," Phys. Fluids A 4, 1105 (1992).
41. J. R. Lister and H. A. Stone, "Capillary breakup of a viscous thread surrounded by another viscous fluid," Phys. Fluids 10, 2758 (1998).
42. C. Huh and L.E. Scriven, "Hydrodynamic model of a steady movement of a solid/liquid/fluid contact line," J. Colloid Interface Sci. 35, 85 (1971).
43. T. D. Blake, "The physics of moving contact lines," J. Colloid Interface Sci. 299, 1 (2006).
44. K. N. Christodoulou, S. F. Kistler, and P. R. Schunk, "Advances in computational methods for free-surface flows," in Liquid Film Coating, edited by S. F. Kistler and P. M. Schweizer (Chapman and Hall, London, 1997), pp. 297-366.
45. P. M. Gresho, R. L. Lee, and R. L. Sani, "On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions," in Recent Advances in Numerical Methods in Fluids, edited by C. Taylor and K. Morgan (Pineridge, Swansea, 1980), pp. 27-79.
46. E. D. Yakhnin and A. V. Chadov, "Investigation of the transfer of a liquid from one solid surface to another. 2. Dynamic transfer," Kolloidn. Zh. 45, 1183 (1983).
47. C. Gupta, G. A. Mensing, M. A. Shannon, and P. J. A. Kenis, "Double transfer printing of small volumes of liquids," Langmuir 23, 2906 (2007).
48. A. V. Chadov and E. D. Yakhnin, "Investigation of the transfer of a liquid from one solid surface to another. 1. Slow transfer method of approximate calculation," Kolloidn. Zh. 41, 817 (1979).
49. A. A. Darhuber, S. M. Troian, and S. Wagner, "Physical mechanisms governing pattern fidelity in microscale offset printing," J. Appl. Phys. 90, 3602 (2001).
50. H. W. Kang, H. J. Sung, T.-M. Lee, D.-S. Kim, and C.-J. Kim, "Liquid transfer between two separating plates for micro-gravure-offset printing," J. Micromech. Microeng. 19, 015025 (2009).
51. H.-K. Chuang, C.-C. Lee, and T.-J. Liu, "An experimental study on the pickout of scaled up gravure cells," Int. Polym. Process. 23, 216 (2008).