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Fig. 13 | Earth, Planets and Space

Fig. 13

From: Excitation of airwaves by bubble bursting in suspensions : regime transitions and implications for basaltic volcanic eruptions

Fig. 13

Decay of Helmholtz resonance. a Waveform of the Helmholtz resonance excited by a \(V = 0.6\) \(\text{ cm}^3\) bubble bursting in a suspension of \(\phi = 0.4\). Red and blue lines indicate an envelope and its exponential fit, respectively from which we obtain \(\beta = 1.434 \pm 0.006\) 1/ms. The waveform was detrended, and a highpass (\(> 800\) Hz), bandstop (2000, 4000 Hz) filters were applied. b \(\beta\) vs. peak frequency \(f_{\mathrm{p}}\) (both with errors) for the case in which Helmholtz resonance was excited by a bubble bursting in a suspension of \(\phi = 0.4\). The gray line indicates a power law fit excluding 2 outliers (see text). Thick red and thin blue lines indicate the \(\beta _{\mathrm{r}}\) and \(\beta _{\mathrm{vt}}\) calculated from radiation (Eq. (13)) and visco-thermal (Eq. (14)) damping models, respectively, using the \(R_{\mathrm{a}}\) values given in the legend

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