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Wave propagation in a circular channel: sloshing and resonance

  • Surface wave resonance of a liquid (water) layer confined in a circular channel is studied both experimentally and numerically. For the experiment, eight unevenly distributed ultrasonic distance sensors measure the local height of the wave surface. The resonance curves show maxima only for odd multiples of the fundamental resonance frequency . We explained this behavior using a simple intuitive “ping-pong” like model. Collision of wave fronts can be observed for higher frequencies. Also, the wave reflection on the walls can be treated as wave collision with itself. The non-linearity seems to be weak in our study so the delay in the wave propagation before and after the collision is small. Time-space plots show localized propagating waves with high amplitudes for frequencies near resonance. Between the peaks low amplitude and harmonic patterns are observed. However, for higher frequencies, the frequency band for localized waves becomes wider. In the Fourier space-time plane, this can be observed as a point for the harmonic patterns orSurface wave resonance of a liquid (water) layer confined in a circular channel is studied both experimentally and numerically. For the experiment, eight unevenly distributed ultrasonic distance sensors measure the local height of the wave surface. The resonance curves show maxima only for odd multiples of the fundamental resonance frequency . We explained this behavior using a simple intuitive “ping-pong” like model. Collision of wave fronts can be observed for higher frequencies. Also, the wave reflection on the walls can be treated as wave collision with itself. The non-linearity seems to be weak in our study so the delay in the wave propagation before and after the collision is small. Time-space plots show localized propagating waves with high amplitudes for frequencies near resonance. Between the peaks low amplitude and harmonic patterns are observed. However, for higher frequencies, the frequency band for localized waves becomes wider. In the Fourier space-time plane, this can be observed as a point for the harmonic patterns or a superposition of two lines: one line parallel to wave-vector k axis corresponding to the excitation frequency and a second line with inclination given by wave propagation velocity . For planned future work, this result will help us to reconstruct the whole water surface elevation using time-series from only a few measurement pointsshow moreshow less

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Metadaten
Author: Ion-Dan Borcia, Sebastian Richter, Rodica Borcia, Franz-Theo Schön, Uwe HarlanderORCiD, Michael BestehornGND
URL:https://link.springer.com/article/10.1140/epjs/s11734-023-00790-z
DOI:https://doi.org/10.1140/epjs/s11734-023-00790-z
ISSN:1951-6401
ISSN:1951-6355
Title of the source (English):The European Physical Journal Special Topics
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2023
Volume/Year:Vol. 232
Issue number:4
First Page:461
Last Page:468
Way of publication:Open Access
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Statistische Physik und Nichtlineare Dynamik
Fakultät 3 Maschinenbau, Elektro- und Energiesysteme / FG Aerodynamik und Strömungslehre
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