Abstract
Bubble-bubble interactions are of great importance for bubble dynamics. A mathematical model describing the dynamics of a cluster in hydrodynamic cavitation is presented. The interaction strength (i.e. the number density of bubbles) is introduced into Keller-Misis equation. Using this model, numerical investigations of bubble dynamics (i.e. radial motion and internal energy) of single bubble in a cluster have been made due to linear pressure gradient. With the increase of interaction strength, the times of bubble reaching the maximum and minimum radii are delayed. The more of bubbles are in a cluster, the more significant of the delay effect is. The maximum internal energy inside the bubble is closely related to interaction strength (i.e. positive correlation). Furthermore, the initial bubble radius and final recovered pressure of the orifice on bubble dynamics are quantitatively discussed. Based on numerical results, some references are put forward for optimize and manipulate of hydrodynamic cavitation reactor.
Highlights
Cavitation has attracted the attentions of many researchers due to its application in many fields
In the experimental studies on the bubble-bubble interactions, the bubbles were usually generated by the methods of electric discharge, optical breakdown and pressure impulse at fixed positions, and the bubble dynamics were generally observed by high-speed photography [1621]
The radial motion and inertial energy of single bubble and single bubble in a cluster containing different number of bubbles are analyzed by the method of numerical simulation
Summary
Cavitation has attracted the attentions of many researchers due to its application in many fields. In the paper of Fuster and Colonius [26], based on volume-averaged equations taking bubble-bubble interactions into account, a new Rayleigh-Plesset equation was proposed to predict the dynamics of a bubble cluster. The maximum characteristic size of a bubble cluster reached 0.5 mm and the coupling strength could be as large as 106 m-1 This model could accurately predict the destruction of encapsulated bubbles under the effects of bubble-bubble interactions [29]. In present paper we consider a new bubble cluster model based on the original idea in Ref. The bubble dynamics are investigated theoretically and numerically within a wide range of parameter zone (e.g. the bubble number in a cluster).
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