Surface wave pattern formation in a cylindrical container
| Autor: | John R. Saylor, Xingchen Shao, P. Wilson, Joshua Bostwick |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Physics
Mechanical Engineering Pattern formation Natural frequency 02 engineering and technology Mechanics Edge (geometry) 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Faraday wave symbols.namesake Amplitude Mechanics of Materials Surface wave Inviscid flow 0103 physical sciences symbols Meniscus 0210 nano-technology |
| Zdroj: | Journal of Fluid Mechanics. 915 |
| ISSN: | 1469-7645 0022-1120 |
| DOI: | 10.1017/jfm.2021.97 |
| Popis: | Surface waves are excited by mechanical vibration of a cylindrical container having an air/water interface pinned at the rim, and the dynamics of pattern formation is analysed from both an experimental and theoretical perspective. The wave conforms to the geometry of the container and its spatial structure is described by the mode number pair () that is identified by long exposure time white light imaging. A laser light system is used to detect the surface wave frequency, which exhibits either a (i) harmonic response for low driving amplitude edge waves or (ii) sub-harmonic response for driving amplitude above the Faraday wave threshold. The first 50 resonant modes are discovered. Control of the meniscus geometry is used to great effect. Specifically, when flat, edge waves are suppressed and only Faraday waves are observed. For a concave meniscus, edge waves are observed and, at higher amplitudes, Faraday waves appear as well, leading to complicated mode mixing. Theoretical predictions for the natural frequency of surface oscillations for an inviscid liquid in a cylindrical container with a pinned contact line are made using the Rayleigh–Ritz procedure and are in excellent agreement with experimental results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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