Stability of non-axisymmetric liquid bridges

Microgravity Science and Technology

Volumn 9, Issue 3, 1996, Pages 193-200

  Alexander, J I D ^a   Delafontaine, S ^a   Resnick, A ^a   Carter, W C ^b  

^a UNIVERSITY OF ALABAMA IN HUNTSVILLE   (United States)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; DISKS (MACHINE COMPONENTS); STABILITY; SURFACE TENSION;

BOND NUMBER; COAXIAL DISKS; LIQUID BRIDGES; STABILITY LIMIT;

FLUID DYNAMICS;

EID: 0030359323     PISSN: 09380108     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (50)

1. Mason, G. C.: An Experimental Determination of the Stable Length of Cylindrical Liquid Bubbles. J. Colloid Interface Sci., vol. 32, p. 172 (1970)
2. Sanz, A., Martinez I.: Minimum Volume for a Liquid Bridge Between Equal Disks. J. Colloid Interface Sci., vol. 93, p. 235 (1983)
3. Meseguer, J., Mayo, L. A., Llorente, J. C., Fernández, A.: Experiments with Liquid Bridges in Simulated Microgravity. J. Crystal Growth, vol. 73, p. 609 (1985)
4. Bezdenezhnykh, N. A., Meseguer, J., Perales, J. M.: Experimental Analysis of Stability Limits of Capillary Liquid Bridges. Physics of Fluids, vol. A 4, p. 677 (1992)
5. Gonzalez, H., McChiskey, F. M. J., Castellanos, A., Barrero, A.: Stabilization of Dielectric Liquid Bridges by Electric Fields in the Absence of Gravity. J. Fluid Mech., vol. 206, p. 545 (1989)
6. Carruthers, J. R., Grasso, M.: Studies of Floating Liquid Zones in Simulated Zero Gravity. J. Appl. Phys., vol. 43, p. 436 (1972)
7. Slobozhanin, L. A.: Problems of Stability of Liquids in Equilibrium Appearing Space Technology Research; in: Hydromechanics and Heat and Mass Transfer in Zero-Gravity, Nauka, Moscow, p. 9 (1982) (in Russian)
8. Elagin, M. P., Lebedev, A. P., Tsmelev, A. V.: Laboratory Modeling of the Stability and Dynamics of Free Liquid Zones; in: Hydromechanics and Heat and Mass Transfer in Zero-Gravity, Nauka, Moscow, p. 24 (1982) (in Russian)
9. Haynes, J. M.: Stability of Fluid Cylinder. J. Colloid Int. Sci., vol. 32, p. 652 (1970)
10. Meseguer, J.: Stability of Slender, Axisymmetric Liquid Bridges Between Unequal Disks. J. Crystal Growth, vol. 67, p. 141 (1984)
11. Ungar, L. H., Brown R. A.: The Dependence of the Shape and Stability of Captive Rotating Drops on Multiple Parameters. Phil. Trans. R. Soc. Lond., vol. A 306, p. 347 (1982)
12. Gillette, R. D., Dyson, R. D.: Stability of Fluid Interfaces of Revolution Between Equal Solid Circular Plates. Chem. Eng. J., vol. 2, p. 44 (1971)
13. Boucher, E. A., Jones T. G.: Equilibrium and Stability Characteristics of Zero-gravity Fluid Bridges Constrained Between Equal Solid Rods. J. Colloid Int. Sci., vol. 126, p. 469 (1988)
14. Brown, R. A., Scriven, L. E.: The Shapes and Stability of Captive Rotating Drops. Phil. Trans. R. Soc. Lond., vol. A 297, p. 51 (1980)
15. Martinez, I., Perales, J. M.: Liquid Bridge Stability. J. Crystal Growth, vol. 78, p. 369 (1986)
16. Perales, J. M., Meseguer, J., Martínez, I.: Minimum Volume Stability Limits for Axisymmetric Liquid Bridges Subject to Steady Axial Acceleration. J. Crystal Growth, vol. 110, p. 855 (1991)
17. Slobozhanin, L. A., Perales, J. M.: Stability of Liquid Bridges Between Equal Disks in an Axial Gravity Field. Phys. Fluids, vol. A 5, p. 1305 (1993)
18. Laverón-Simavilla, A., Perales, J. M.: Equilibrium Shapes of Non-axisymmetric Liquid Bridges of Arbitrary Volume in Gravitational Fields and Their Potential Energy. Phys. Fluids, vol. 7, p. 1204 (1995)
19. Lowry, B. J., Steen, P. H.: Capillary Surfaces: Stability from Families of Equilibria With Application to the Liquid Bridge. Proc. R. Soc. Lond., vol. A 449, p. 411 (1995)
20. Langbein, D.: Crystal Growth from Liquid Columns. J. Crystal Growth, vol. 104, p. 47 (1990)
21. Tsamopolous, J., Chen, T., Borkar, A.: Viscous Oscillations of Capillary Bridges. J. Fluid Mechanics, vol. 235, p. 579 (1992)
22. Ennis, B. J., Li, J., Tardos, G., Pfeiffer, R.: The Influence of Viscosity on the Strength of an Axially Strained Pendular Bridge. Chem. Eng. Sci., vol. 45, p. 3071 (1990)
23. Newhouse, L. A., Pozrikidis, C.: The Capillary Instability of Annular Layers and Thin Liquid Threads. J. Fluid Mech., vol. 252, p. 193 (1992)
24. Slobozhanin, L. A., Tyuptsov, A. D.: On the Stability of the Equilibrium State of a Capillary Liquid in a Vessel in Contact with the Edge of a Solid. Izv. Akad. Nauk USSR, Mekh. Zhid. Gaza, no. 4, p. 3 (1977) (in Russian)
25. Haynes, J. M.: Capillarity and Wetting; in: Materials Science in Space, B. Feuerbacher, H. Harnacher, R. J. Naumann (eds.), Springer Verlag, Berlin, p. 129 (1987)
26. Borisov, I. D.: On the Stability of a Capillary Liquid in a Horzontal Slit. Izv. Akad. Nauk USSR, Mekh. Zhid. Gaza, no. 5, p. 3172 (1983) (in Russian)
27. Vogel, T. I.: Stability of a Liquid Drop Trapped Between Two Parallel Plates. SIAM J. Appl. Math., vol. 49, p. 516 (1987)
28. Vogel, T. I.: Stability of a Liquid Drop Trapped Between Two Parallel Plates - II: General Contact Angles. SIAM J. Appl. Math., vol. 49, p. 1009 (1989)
29. Langbein, D.: Stability of Liquid Bridges Between Parallel Plates. Microgravity sci. technol., vol. 5, p. 2 (1992)
30. Xu, S.: Liquid Bridges, Stability and Microgravity Experiments Analyses. Microgravity sci. technol., vol. 6, p. 176 (1993)
31. Orr, F. M., Scriven, L. E.: Meniscus Properties and Capillary Forces. J. Fluid Mech., vol. 67, p. 723 (1975)
32. Mehrota, V. P., Sastry, K. V. S.: Pendular Bond Strength Between Unequal-sized Spherical Particles. Powder Tech., vol. 25, p. 203 (1980)
33. Mazzone, D. N., Tardos, G. I., Pfeiffer, R.: The Behavior of Bridges Between Two Relatively Moving Particles. Powder Tech., vol. 51, p. 71 (1987)
34. De Bisschop, F. R. E., Rigole, W. J. L.: A Physical Model for Liquid Capillary Bridges Between Adsorptive Solid Spheres: The Nodoid of Plateau. J. Colloid Int. Sci., vol. 88, p. 117 (1982)
35. Martinez, I., Perales, J. M., Gomez, M.: Effect of Axial and Centrifugal Forces on the Stability of Liquid Bridges. ESA SP-333, p. 123 (1992)
36. Strutt, J. W. (Lord Rayleigh): On the Capillary Phenomenon of Jets. Proc. Roy. Soc. Lond., vol. 29, p. 71 (1879)
37. Myshkis, A. D., Babskii, V. G., Kopachevskii, N. D. Slobozhanin, L. A., Tyuptsov, A. D.: Low Gravity Fluid Mechanics. Springer Verlag, Berlin (1987)
38. Russo, M. J., Steen, P. H.: Instability of Rotund Capillary Bridges to General Disturbances: Experiment and Theory. J. Colloid Int. Sci., vol. 113, p. 154 (1986)
39. Martinez, I. M., Haynes, J. M., Langbein, D.: Fluid Statics and Capillarity; in: Fluid Sciences and Material Sciences in Space, H. Walter (ed.), Springer Verlag, Berlin, p. 53 (1987)
40. Coriell, S. R., Hardy, S. C., Cordes, M. R.: Stability of Liquid Zones. J. Colloid Int. Sci., vol. 60, p. 126 (1977)
41. Meseguer, J.: The Influence of Axial Microgravity on the Breakage of Axisymmetric Slender Liquid Bridges. J. Crystal Growth, vol. 62, p. 577 (1983)
42. Vega, J. M., Perales, J. M.: Almost Cylindrical Isorotating Liquid Bridges for Small Bond Numbers; in: Material Sciences under Microgravity, ESA SP-191, p. 247 (1983)
43. Heywang, W.: Zur Stabilität senkrechter Schmelzzonen. Z. Naturforsch., vol. 11, p. 238 (1956) (in German)
44. Slobozhanin, L. A.: Investigation of Hydrostatic Problems Simulating the Zone Melting Process. Izv. Akad. Nauk USSR Ser. Fiz. 49, p. 652 (1985) (in Russian)
45. Coriell, S. R., Cordes, M. R.: Theory of Molten Zone Shape and Stability. J. Crystal Growth, vol. 42, p. 466 (1977)
46. Perales, J. M.: Non-axisymmetric Effects on Long Liquid Bridges. Acta Astronautica, vol. 8, p. 561 (1987)
47. Chen, H., Saghir, M. Z.: Non-axisymmetric Equilibrium Shapes of the Liquid Bridge. Microgravity sci. technol., vol. 7, p. 12 (1994)
48. Perales, J. M., Sanz, A., Rivas, D.: Eccentric Rotation of a Liquid Bridge. Appl. microgravity technol, vol. 2, p. 193 (1990)
49. Bezdenezhnykh, N. A.: Personal Communication
50. Brakke, K.: Experimental Mathematics, vol. 1, p. 141 (1980)