Abstract
The paper investigates the dynamics of bubble departures from a glass nozzle submerged in a tank filled with distilled water. Air pressure and liquid flow inside the nozzle are simultaneously recorded using a data acquisition system and a high speed camera. The recurrence plot and cross recurrence plot methods are used to identify the loss of synchronization between air pressure fluctuations and the depth of liquid flow inside the nozzle during chaotic bubble departures. We claim that the synchronization between pressure fluctuations and the depth of liquid penetration inside the nozzle is suppressed during chaotic bubble departures. The experimental results show agreement with the numerical findings. The results demonstrate that the non-linearities of processes occurring during liquid penetration inside the nozzle have a significant impact on the synchronization between the time histories of pressure and the corresponding depths of liquid penetration inside the nozzle.
Highlights
Synchronization and chaotic behaviour are fundamental properties of nonlinear systems [1,2,3,4]
To illustrate and identify the loss of synchronization between air pressure fluctuations and liquid flow inside the nozzle during the chaotic bubble departures, the wavelet, recurrence plot and cross recurrence plot methods colorblue are used in the present paper
It has been found that the synchronization between pressure fluctuations and the depth of liquid penetration inside the nozzle is governed by intermittent dynamics of bubble departures
Summary
Synchronization and chaotic behaviour are fundamental properties of nonlinear systems [1,2,3,4]. During the chaotic bubble departures the duration and the depth of the liquid penetration into the nozzle showed nonperiodic behaviour. We will analyze the synchronization between the plenum pressure fluctuations and the depth of liquid penetration into the nozzle. The nature of such synchronization is a measure of interactions between the air supply system and the ability of a liquid to transfer the air supplied (during this transfer the process of bubbles formation occurs). To illustrate and identify the loss of synchronization between air pressure fluctuations and liquid flow inside the nozzle during the chaotic bubble departures, the wavelet, recurrence plot and cross recurrence plot methods colorblue are used in the present paper. The effect of plate thickness, surface tension, liquid viscosity and the height of liquid column on the depth
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