The motion of a falling liquid filament

Physics of Fluids

Volumn 12, Issue 3, 2000, Pages 550-565

  Henderson, Diane ^a   Segur, Harvey ^b   Smolka, Linda B ^a   Wadati, Miki ^c  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF COLORADO   (United States)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DROPLET; FLOW RATIO; MATHEMATICAL ANALYSIS; NAVIER-STOKES EQUATIONS;

EID: 0034036260     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.870261     Document Type: Article

References (26)

1. J. Eggers, "Universal pinching of 3D axisymmetric free-surface flow," Phys. Rev. Lett. 71, 3458 (1993).
2. X. D. Shi, M. P. Brenner, and S. R. Nagel, "A cascade of structure in a drop falling from a faucet," Science 265, 219 (1994).
3. M. P. Brenner, X. D. Shi, and S. R. Nagel, "Iterated instabilities during droplet fission," Phys. Rev. Lett. 73, 3391 (1994).
4. X. Zhang and O. A. Basaran, "An experimental study of dynamics of drop formation," Phys. Fluids 7, 1184 (1995).
5. D. M. Henderson, W. G. Pritchard, and L. B. Smolka, "On the pinch-off of a pendant drop of viscous fluid," Phys. Fluids A 9, 3188 (1997).
6. D. H. Peregrine, G. Shoker, and A. Symon, "The bifurcation of liquid bridges," J. Fluid Mech. 212, 25 (1990).
7. J. Eggers, "Theory of drop formation," Phys. Fluids 7, 941 (1995).
8. S. E. Bechtel, C. D. Carlson, and M. G. Forest, "Recovery of the Rayleigh capillary instability from slender 1-D inviscid and viscous models," Phys. Fluids A 7, 2956 (1995).
9. R. M. S. M. Schulkes, "The contraction of liquid filaments," J. Fluid Mech. 309, 277 (1996).
10. J. B. Keller and M. K. Miksis, "Surface tension driven flows," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 43, 268 (1983).
11. H. A. Stone, B. J. Bentley, and L. G. Leal, "An experimental study of transient effects in the breakup of viscous drops," J. Fluid Mech. 173, 131 (1986).
12. J. Plateau, Statique Expérimentale et Théoretique des Liquides Soumis aux Seules Forces Moléculaire (Gauthier-Villars, Paris, 1873).
13. Lord Rayleigh, "On the instability of jets," Proc. London Math. Soc. 10, 4 (1879).
14. Lord Rayleigh, "On the instability of a cylinder of viscous liquid under capillary force," Philos. Mag. 34, 145 (1892).
15. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1961), especially Chap. 12,
16. I. Frankel and D. Weihs, "Stability of a capillary jet with linearly increasing axial velocity," J. Fluid Mech. 155, 289 (1985).
17. I. Frankel and D. Weihs, "Influence of viscosity on the capillary instability of a stretching jet," J. Fluid Mech. 185, 361 (1987).
18. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, 1967).
19. S. Tomotika, Proc. R. Soc. London, Ser. A 153, 302 (1936).
20. E. L. Ince, Ordinary Differential Equations (Dover, New York, 1944), especially Chap. 10.
21. G. Hellwig, Differential Operators of Mathematical Physics (Addison-Wesley, Palo Alto, CA, 1964).
22. F. Bowman, Introduction to Bessel Functions (Dover, New York, 1958).
23. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (USGPO, Washington, DC, 1964).
24. J. Scoria, W. K. Chiu, and M. P. Norton, "A study of unsteady laminar boundary layer flow on a flat plate using a smoke-wire/silhouette flow visualization technique," Exp. Therm. Fluid Sci. 3, 291 (1990).
25. C. M Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978).
26. E. T. Whittaker and G. N. Watson, A Course in Modern Analysis (Cambridge University Press, London, 1980).