Viscous effects in droplet-ejecting capillary waves

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 1 SUPPL. A, 1997, Pages 472-475

  Goodridge, Christopher L ^a   Tao Shi, W ^a   Hentschel, H G E ^a   Lathrop, Daniel P ^a  

^a EMORY UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001613035     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.56.472     Document Type: Article

References (34)

1. D. H. Peregrine, Annu. Rev. Fluid Mech. 15, 149 (1983).
2. M. L. Banner and D. H. Peregrine, Annu. Rev. Fluid Mech. 25, 373 (1993).
3. A. C. Newell and V. E. Zakharov, Phys. Rev. Lett. 69, 1149 (1992).
4. A. L. Yarin and D. A. Weiss, J. Fluid Mech. 283, 141 (1995).
5. M. Rein, J. Fluid Mech. 306, 145 (1996).
6. H. N. Oguz and A. Prosperetti, J. Fluid Mech. 294, 181 (1995).
7. T. B. Benjamin and F. Ursell, Proc. R. Soc. London, Ser. A 225, 505 (1954).
8. S. Cilberto, S. Douady, and S. Fauve, Europhys. Lett. 15, 23 (1991).
9. J. Miles and D. Henderson, Annu. Rev. Fluid Mech. 22, 143 (1990).
10. B. J. Gluckman, C. B. Arnold, and J. P. Gollub, Phys. Rev. E 51, 1128 (1995).
11. S. P. Decent and A. D. D. Craik, J. Fluid Mech. 293, 237 (1995).
12. S. Douady, J. Fluid Mech. 221, 383 (1990).
13. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover Publications, Inc., New York, 1981).
14. A. B. Ezerskii, P. I. Korotin, and M. I. Rabinovich, Pis'ma Zh. Éksp. Teor. Fiz. 41, 129 (1985) [JETP Lett. 41, 157 (1985)].
15. A. B. Ezerskii, P. I. Korotin, and M. I. Rabinovich, Pis'ma Zh. Éksp. Teor. Fiz. 41, 129 (1985) [JETP Lett. 41, 157 (1985)].
16. N. B. Tufillaro, R. Ramshankar, and J. P. Gollub, Phys. Rev. Lett. 62, 422 (1985).
17. S. Ciliberto and J. Gollub, J. Fluid Mech. 158, 381 (1985).
18. M. S. Longuet-Higgins, J. Fluid Mech. 127, 103 (1983).
19. M. Tjahjadi, H. A. Stone, and J. M. Ottino, J. Fluid Mech. 243, 297 (1992).
20. Jens Eggers and Todd F. Dupont, J. Fluid Mech. 262, 205 (1994).
21. Michael Brenner, X. D. Shi, and Sidney R. Nagel, Phys. Rev. Lett. 73, 3391 (1994).
22. C. L. Goodridge, W. Tao Shi, and D. P. Lathrop, Phys. Rev. Lett. 76, 1824 (1996).
23. W. Tao Shi, C. L. Goodridge, and D. P. Lathrop (unpublished).
24. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, New York, 1987).
25. In our system, lower-frequency states (waves with wavelengths comparable to the dimensions of our container) are affected by the fluid surface wave modes of the container. Roughly stationary ejecting waves as well as periodic ejecting states have been observed at very low frequencies.
26. This depth (d>10λ) was chosen to minimize any bottom boundary contribution to the surface wave state.
27. 2 and the capillary number Ca (the ratio of viscous forces to surface tension forces) is defined as μν/σ, where ρ is the density, l a characteristic length, σ the surface tension, μ the Newtonian viscosity, and ν a characteristic velocity.
28. J. H. Michell, Philos. Mag. 36, 430 (1893).
29. G. D. Crapper, J. Fluid Mech. 2, 532 (1957).
30. E. Ott, Phys. Rev. Lett. 29, 1429 (1972).
31. J. M. Walsh, R. G. Shreffler, and F. J. Willig, J. Appl. Phys. 24, 349 (1953).
32. -5.
33. 4/3.
34. 1/2.