An experimental study of Faraday waves formed on the interface between two immiscible liquids

Physics of Fluids

Volumn 16, Issue 7, 2004, Pages 2336-2341

  Tipton, C R ^a   Mullin, T ^b  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DAMPING; FARADAY EFFECT; HARMONIC ANALYSIS; HYSTERESIS; PARAMETER ESTIMATION; WAVES;

EXCITATION FREQUENCY; FARADAY WAVES; SUBHARMONIC;

FLUID DYNAMICS;

IMMISCIBLE FLUIDS;

EID: 3242713053     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1718354     Document Type: Article

References (17)

1. J. Miles and D. Henderson, "Parametrically forced surface waves," Annu. Rev. Fluid Mech. 22, 143 (1990).
2. H. Müller, R. Friedrich, and D. Papathanassiou, "Theoretical and experimental investigations of the Faraday instability," in Evolution of Spontaneous Structures in Dissipative Continuous Systems, edited by F. Busse and S. Müller (Springer, Berlin, 1998), p. 231.
3. M. Faraday, "On a peculiar class of accoustical figures; and on certain forms assumed by groups of particles upon vibrating elastic surfaces," Philos. Trans. R. Soc. London 121, 229 (1831).
4. A. Kudrolli and J. Gollub, "Patterns and spatiotemporal chaos in parametrically forced surface waves: a systematic survey at large aspect ratio," Physica D 97, 133 (1996).
5. K. Kumar and L. Tuckerman, "Parametric instability of the interface between two fluids," J. Fluid Mech. 279, 49 (1994).
6. S. Douady, "Experimental study of the Faraday instability," J. Fluid Mech. 221, 383 (1990).
7. T. Benjamin and F. Ursell, "The stability of the plane free surface of a liquid in vertical periodic motion," Proc. R. Soc. London, Ser. A 225, 505 (1954).
8. H. Lamb, Hydrodynamics, 6th ed. (Cambridge University Press, Cambridge, 1932).
9. A. Wernet, C. Wagner, D. Papathanassiou, H. Müller, and K. Knorr, "Amplitude measurements of Faraday waves," Phys. Rev. E 63, 036305 (2001).
10. D. Benielli and J. Sommeria, "Excitation and breaking of internal gravity waves by parametric instability," J. Fluid Mech. 374, 117 (1998).
11. D. Hill, "The Faraday resonance of interfacial waves in weakly viscous fluids," Phys. Fluids 14, 158 (2002).
12. V. A. Kalinchenko, "Laboratory investigation of parametric instability in a two layer fluid," Izv., Acad. Sci., USSR, Atmos. Oceanic Phys. 22, 155 (1986).
13. Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Dover, New York, 1964).
14. J. Gollub and C. Meyer, "Symmetry-breaking instabilities on a fluid surface," Physica D 6, 337 (1983).
15. T. Ito, Y. Tsuki, and Y. Kukita, "Interface waves excited by vertical vibration of stratified fluids in a circular cylinder," J. Nucl. Sci. Technol. 36, 508 (1999).
16. N. K. Bajaj, The Physics of Waves and Oscillations (Tata McGraw-Hill, New Delhi, 1984).
17. E. Doedel, R. Paffenroth, A. Champneys, T. Fairgrieve, Y. Kuznetsov, B. Oldeman, B. Sandstede, and X. Wang, "Auto 2000: Continuation and Bifurcation Software for Ordinary Differential Equations (with Homcont)" (Technical Report, California Institute of Technology, Pasadena, CA, 2002).