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Effect of width on the properties of Faraday waves in Hele-Shaw cells

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Abstract

The effect of container geometry on the Faraday waves in Hele-Shaw cells has been investigated. The wave heights increase with the width of the cell and a linear function is selected to express the relation between these data and parameters. The wave lengths also increase with the width and are in good agreement with the dispersion relation. In order to reveal the real nature behind these phenomena, we have developed a gap-averaged model to numerically solve this issue and give an analysis of the result to show how these Faraday waves are formed in a Hele-Shaw cell.

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Authors and Affiliations

  1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou, 510641, China

    XiaoChen Li & ChaoHe Chen

  2. State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Jing Li, XiaoMing Li & ShiJun Liao

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  1. XiaoChen Li
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  2. Jing Li
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  3. XiaoMing Li
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  4. ShiJun Liao
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  5. ChaoHe Chen
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Correspondence to Jing Li.

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Li, X., Li, J., Li, X. et al. Effect of width on the properties of Faraday waves in Hele-Shaw cells. Sci. China Phys. Mech. Astron. 62, 974711 (2019). https://doi.org/10.1007/s11433-018-9335-6

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  • DOI: https://doi.org/10.1007/s11433-018-9335-6

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