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==Faraday Waves and Nonlinear Patterns== | ==Faraday Waves and Nonlinear Patterns== | ||
===Background=== | |||
Eponymously discovered by Faraday[1], Faraday Waves are standing waves on a fluid caused by vertical oscillatory motion. At given frequencies, these standing waves give surface paterns of n dimensional rotational symmetry; mainly square, hexagonal, and 8-fold quasi-static paterns. This experiment is designed to reproduce the results of quantifying the observance of these waves by Binks and W. van de Water [3]. The expected results should also agree with Zhang and Vinals' [2] prediction of the amplitudes of the standing waves. The experiment will go a step further and not only test the theory out for different fluids (including a non-newtonian fluid), but for different oscillatory patterns. | |||
===Group Members=== | ===Group Members=== | ||
* Juan Orphee | * Juan Orphee | ||
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* Michael Lane | * Michael Lane | ||
* Elan Grossman | * Elan Grossman | ||
===Sources=== | |||
[1] M. Faraday, Philos. Trans. R. Soc. London 121, 319 (1831) | |||
[2] W. Zhang and J. Viñals, Phys. Rev. E 53, R4286 (1996) | |||
[3] D. Binks and W. van de Water, Phy. Rev. Lett. 78, 4043 (1997) | |||
[4] Peilong Chen and J. Vinals, Phys. Rev. Lett, 79, 2670 (1997) | |||
Revision as of 23:10, 16 October 2011
Faraday Waves and Nonlinear Patterns
Background
Eponymously discovered by Faraday[1], Faraday Waves are standing waves on a fluid caused by vertical oscillatory motion. At given frequencies, these standing waves give surface paterns of n dimensional rotational symmetry; mainly square, hexagonal, and 8-fold quasi-static paterns. This experiment is designed to reproduce the results of quantifying the observance of these waves by Binks and W. van de Water [3]. The expected results should also agree with Zhang and Vinals' [2] prediction of the amplitudes of the standing waves. The experiment will go a step further and not only test the theory out for different fluids (including a non-newtonian fluid), but for different oscillatory patterns.
Group Members
- Juan Orphee
- Paul Cardenas-Lizana
- Michael Lane
- Elan Grossman
Sources
[1] M. Faraday, Philos. Trans. R. Soc. London 121, 319 (1831) [2] W. Zhang and J. Viñals, Phys. Rev. E 53, R4286 (1996) [3] D. Binks and W. van de Water, Phy. Rev. Lett. 78, 4043 (1997) [4] Peilong Chen and J. Vinals, Phys. Rev. Lett, 79, 2670 (1997)