Three-dimensional instability of viscous liquid sheets

Atomization and Sprays

Volumn 6, Issue 6, 1996, Pages 649-665

  Ibrahim, E A ^a   Akpan, E T ^a  

^a Tuskegee University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001114912     PISSN: 10445110     EISSN: None     Source Type: Journal    
DOI: 10.1615/AtomizSpr.v6.i6.20     Document Type: Article

References (25)

1. H. B. Squire, Investigation of the Instability of a Moving Fluid Film, Br. J. Appl. Phys., vol. 4, pp. 167-169, 1953.
2. W. W. Hagerty and J. F. Shea, A Study of the Instability of Plane Fluid Sheets, J. Appl. Mech., vol. 22, pp. 509-514, 1955.
3. N. Dombrowski and W. R. Johns, The Aerodynamic Instability and Disintegration of Viscous Liquid Sheets, Chem. Eng. Sci., vol. 18, pp. 203-214, 1963.
4. N. Dombrowski and P. C. Hooper, The Effect of Ambient Density on Drop Formation in Sprays, Chem. Eng. Sci., vol. 17, pp. 291-305, 1962.
5. S. P. Lin, Z. W. Lian, and B. J. Creighton, Absolute and Convective Instability of a Liquid Sheet, J. Fluid Mech., vol. 220, pp. 673-689, 1990.
6. X. Li and R. S. Tankin, On the Instability of a Two-Dimensional Viscous Liquid Sheet, J. Fluid Mech., vol. 226, pp. 425-443, 1991.
7. E. A. Ibrahim, Spatial Instability of a Viscous Liquid Sheet, J. Propulsion Power, vol. 11, pp. 146-152, 1995.
8. L. Rayleigh, The Theory of Sound, p. 351, Dover, Now York, NY, 1945.
9. A. M. Sterling and C. A. Sleicher, The Instability of Capillary Jets, J. Fluid Mech., vol. 68, pp. 477-495, 1975.
10. S. P. Lin and D. J. Kang, Atomization of a Liquid Jet, Phys. Fluids, vol. 30, pp. 2000-2006, 1987.
11. S. P. Lin and Z. W. Lian, Mechanism of the Breakup of Liquid Jets, AIAA J., vol. 28, pp. 120-126, 1990.
12. S. P. Lin and E. A. Ibrahim, Instability of a Viscous Liquid Jet Surrounded by a Viscous Gas in a Vertical Pipe, J. Fluid Mech., vol. 218, pp. 641-658, 1990.
13. J. Ponstein, Instability of Rotating Cylindrical Jets, Appl. Sci. Res., vol. 8, pp. 425-456, 1959.
14. G. K. Batchelor and A. E. Gill, Analysis of the Stability of Axisymmetric Jets, J. Fluid Mech., vol. 14, pp. 529-551, 1962.
15. B. J. Meister, and G. F. Scheele, Prediction of Jet Length in Immiscible Liquid Systems, AIChE J., vol. 15, pp. 689-699, 1969.
16. J. W. Hoyt and J. J. Taylor, Waves on Water Jets, J. Fluid Mech., vol. 83, pp. 119-127, 1977.
17. H. Eroglu, N. Chigier, and Z. Farago, Coaxial Atomizer Liquid Intact Lengths, Phys. Fluids A, vol. 3, pp. 303-308, 1991.
18. H. Q. Yang, Asymmetric Instability of a Liquid Jet, Phys. Fluids A, vol. 4, pp. 681-689, 1992.
19. E. Avital, Asymmetric Instability of a Viscid Capillary Jet in an Inviscid Media, Phys. Fluids, vol. 7, pp. 1162-1164, 1995.
20. X. Li, Mechanism of Atomization of a Liquid Jet, Atomization and Sprays, vol. 5, pp. 89-105, 1995.
21. D. E. Muller, A Method for Solving Algebraic Equations Using an Automatic Computer, Math. Tables Aids Comput., vol. 10, pp. 208-215, 1956.
22. M. Gaster, A Note on the Relation between Temporally-Increasing and Spatially-Increasing Disturbances in Hydrodynamic Stability, J. Fluid Mech., vol. 14, pp. 222-224, 1962.
23. S. P. Lin and R. Webb, Nonaxisymmetric Evanescent Waves in a Viscous Liquid Jet, Phys. Fluids, vol. 6, pp. 2545-2547, 1994.
24. X. Li, Spatial Instability of Plane Liquid Sheets, Chem. Eng. Sci., vol. 48, pp. 2973-2981, 1993.
25. H. B. Squire, On the Stability for Three-Dimensional Disturbances of Viscous Fluid between Parallel Walls, Proc. Roy. Soc. London A, vol. 142, pp. 621-628, 1933.