Wave propagation in a circular channel: sloshing and resonance

Abstract Surface wave resonance of a liquid (water) layer confined in circular channel is studied both experimentally and numerically. For the experiment, eight unevenly distributed ultrasonic distance sensors measure local height surface. The curves show maxima only for odd multiples fundamental frequency $$f_0$$ f 0 . We explained this behavior using simple intuitive “ping-pong” like model. Collision fronts can be observed higher frequencies. Also, reflection on walls treated as collision with itself. non-linearity seems to weak our study so delay propagation before after small. Time-space plots localized propagating waves high amplitudes frequencies near resonance. Between peaks low amplitude harmonic patterns are observed. However, frequencies, band becomes wider. In Fourier space-time plane, point or superposition two lines: one line parallel wave-vector k axis corresponding excitation second inclination given by velocity $$\sqrt{gh}$$ gh planned future work, result will help us reconstruct whole water surface elevation time-series from few measurement points