Nonlinear Faraday resonance

Journal of Fluid Mechanics

Volumn 146, Issue , 1984, Pages 285-302

  Miles, John W ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005086753     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112084001865     Document Type: Article

References (19)

1. Benjamin, T. B. & Ursell, F. 1954 The stability of the plane free surface of liquid in vertical periodic motion. Proc. R. Soc. Lond. A 225, 505–515.
2. Cilberto, S. & Gollub, J. P. 1984 Pattern competition leads to chaos. Phys. Rev. Lett. 52, 922–925.
3. Dodge, F. T., Kana, D. D. & Abramson, N. 1965 Liquid surface oscillations in longitudinally excited rigid cylindrical containers. AIAA J. 3, 685–695.
4. Faraday, M. 1831 On a peculiar class of acoustical figures, and on certain forms assumed by groups of particles upon vibrating elastic surfaces. Phil. Trans. R. Soc. Lond. 121, 299–340.
5. Gollub, J. P. & Meyer, C. W. 1983 Symmetry-breaking instabilities on a fluid surface. Physica D 6, 337–346.
6. Henstock, W. & Sani, R. L. 1974 On the stability of the free surface of a cylindrical layer of fluid in vertical motion. Lett. Heat Mass Transfer 1, 95–102.
7. Keolian, R., Turkevich, L. A., Putterman, S. J., Rudnick, I. & Rudnick, J. A. 1981 Subharmonic sequences in the Faraday experiment: departures from period doubling. Phys. Rev. Lett. 47, 1133–1136.
8. Lichtenberg, A. J. & Lieberman, M. A. 1983 Regular and Stochastic Motion, pp. 382, 383. Springer.
9. Mack, L. R. 1962 Periodic, finite-amplitude, axisymmetric gravity waves. J. Geophys. Res. 67, 829–843.
10. Miles, J. W. 1967 Surface-wave damping in closed basins. Proc. R. Soc. Lond. A 297, 459–475.
11. Miles, J. W. 1976 Nonlinear surface waves in closed basins. J. Fluid Mech. 75, 419–448.
12. Miles, J. W. 1984 Internally resonant surface waves in a circular cylinder. J. Fluid Mech. (in press).
13. Ockendon, J. R. & Ockendon, H. 1973 Resonant surface waves. J. Fluid Mech. 59, 397–413.
14. Rayleigh, Lord 1883a On maintained vibrations. Phil. Mag. 15, 229–235 (Scientific Papers, vol. 2, pp. 188–193).
15. Rayleigh, Lord 18835 On The Crispations Of Fluid Resting On A Vibrating Support. Phil. Mag. 16, 50–58 (Scientific Papers, vol. 2, pp. 212–219).
16. Rayleigh, Lord 1887 On the maintenance of vibrations by forces of double frequency, and on the propagation of waves through a medium endowed with a periodic structure. Phil. Mag. 24, 145–159 (Scientific Papers, vol. 3, pp. 1–14).
17. Rayleigh, Lord 1915 Deep water waves, progressive or stationary, to the third order of approximation. Proc. R. Soc. Lond. A 91, 345–353 (Scientific Papers, vol. 6, pp. 306–314).
18. Tdjbakhsh, I. & Keller, J. B. 1960 Standing surface waves of finite amplitude. J. Fluid Mech. 8, 442–451.
19. Verma, G. H. & Keller, J. B. 1962 Three-dimensional standing surface waves of finite amplitude. Phys. Fluids 5, 52–56.