Faraday wave patterns on a triangular cell network

Franklin Peña-Polo; Iván Sánchez; Leonardo Di G. Sigalotti

doi:10.1007/978-3-319-00191-3_22

Faraday wave patterns on a triangular cell network

Franklin Peña-Polo
, Iván Sánchez
, Leonardo Di G. Sigalotti

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

We present experimental observations of the Faraday instability when an air/water interface is split over a network of small triangular cells for exciting frequencies in the range 10 ≤ f ≤ 30 Hz. Just above the threshold for instability, waves appear on the water surfaces within all individual cells. After a transient state, adjacent cells progressively synchronize and self-organize to produce a regular pattern covering the whole grid. Collective cell behaviour is seen to lead to four different patterns depending on the forcing frequency range. Beyond ≈28 Hz, adjacent cells no longer interact as the vibration wavelength becomes smaller than half the altitudes of the triangular cells and so the waves remain constrained within individual cells in the form of localized harmonic oscillons.

Original language	English
Title of host publication	Computational and Experimental Fluid Mechanics with Applications to Physics, Engineering and the Environment, FLUIDOS 2012
Editors	Leonardo Di G. Sigalotti, Eloy Sira, Jaime Klapp
Publisher	Springer
Pages	357-365
Number of pages	9
ISBN (Print)	9783319001906
DOIs	https://doi.org/10.1007/978-3-319-00191-3_22
State	Published - 2014
Externally published	Yes
Event	1st Workshop of the Venezuelan Society of Fluid Mechanics , FLUIDOS 2012 - Margarita Island, Venezuela, Bolivarian Republic of Duration: Nov 5 2012 → Nov 9 2012

Publication series

Name	Environmental Science and Engineering
ISSN (Print)	1863-5520
ISSN (Electronic)	1863-5539

Conference

Conference	1st Workshop of the Venezuelan Society of Fluid Mechanics , FLUIDOS 2012
Country/Territory	Venezuela, Bolivarian Republic of
City	Margarita Island
Period	11/5/12 → 11/9/12

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2014.

ASJC Scopus Subject Areas

Environmental Engineering
Information Systems

Access to Document

10.1007/978-3-319-00191-3_22

Cite this

Peña-Polo, F., Sánchez, I., & Sigalotti, L. D. G. (2014). Faraday wave patterns on a triangular cell network. In L. D. G. Sigalotti, E. Sira, & J. Klapp (Eds.), Computational and Experimental Fluid Mechanics with Applications to Physics, Engineering and the Environment, FLUIDOS 2012 (pp. 357-365). (Environmental Science and Engineering). Springer. https://doi.org/10.1007/978-3-319-00191-3_22

Faraday wave patterns on a triangular cell network. / Peña-Polo, Franklin; Sánchez, Iván; Sigalotti, Leonardo Di G.
Computational and Experimental Fluid Mechanics with Applications to Physics, Engineering and the Environment, FLUIDOS 2012. ed. / Leonardo Di G. Sigalotti; Eloy Sira; Jaime Klapp. Springer, 2014. p. 357-365 (Environmental Science and Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Peña-Polo, F, Sánchez, I & Sigalotti, LDG 2014, Faraday wave patterns on a triangular cell network. in LDG Sigalotti, E Sira & J Klapp (eds), Computational and Experimental Fluid Mechanics with Applications to Physics, Engineering and the Environment, FLUIDOS 2012. Environmental Science and Engineering, Springer, pp. 357-365, 1st Workshop of the Venezuelan Society of Fluid Mechanics , FLUIDOS 2012, Margarita Island, Venezuela, Bolivarian Republic of, 11/5/12. https://doi.org/10.1007/978-3-319-00191-3_22

Peña-Polo, Franklin ; Sánchez, Iván ; Sigalotti, Leonardo Di G. / Faraday wave patterns on a triangular cell network. Computational and Experimental Fluid Mechanics with Applications to Physics, Engineering and the Environment, FLUIDOS 2012. editor / Leonardo Di G. Sigalotti ; Eloy Sira ; Jaime Klapp. Springer, 2014. pp. 357-365 (Environmental Science and Engineering).

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title = "Faraday wave patterns on a triangular cell network",

abstract = "We present experimental observations of the Faraday instability when an air/water interface is split over a network of small triangular cells for exciting frequencies in the range 10 ≤ f ≤ 30 Hz. Just above the threshold for instability, waves appear on the water surfaces within all individual cells. After a transient state, adjacent cells progressively synchronize and self-organize to produce a regular pattern covering the whole grid. Collective cell behaviour is seen to lead to four different patterns depending on the forcing frequency range. Beyond ≈28 Hz, adjacent cells no longer interact as the vibration wavelength becomes smaller than half the altitudes of the triangular cells and so the waves remain constrained within individual cells in the form of localized harmonic oscillons.",

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N2 - We present experimental observations of the Faraday instability when an air/water interface is split over a network of small triangular cells for exciting frequencies in the range 10 ≤ f ≤ 30 Hz. Just above the threshold for instability, waves appear on the water surfaces within all individual cells. After a transient state, adjacent cells progressively synchronize and self-organize to produce a regular pattern covering the whole grid. Collective cell behaviour is seen to lead to four different patterns depending on the forcing frequency range. Beyond ≈28 Hz, adjacent cells no longer interact as the vibration wavelength becomes smaller than half the altitudes of the triangular cells and so the waves remain constrained within individual cells in the form of localized harmonic oscillons.

AB - We present experimental observations of the Faraday instability when an air/water interface is split over a network of small triangular cells for exciting frequencies in the range 10 ≤ f ≤ 30 Hz. Just above the threshold for instability, waves appear on the water surfaces within all individual cells. After a transient state, adjacent cells progressively synchronize and self-organize to produce a regular pattern covering the whole grid. Collective cell behaviour is seen to lead to four different patterns depending on the forcing frequency range. Beyond ≈28 Hz, adjacent cells no longer interact as the vibration wavelength becomes smaller than half the altitudes of the triangular cells and so the waves remain constrained within individual cells in the form of localized harmonic oscillons.

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Faraday wave patterns on a triangular cell network

Abstract

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Conference

Bibliographical note

ASJC Scopus Subject Areas

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