The dynamics of periodically driven bubble clouds
The dynamics of periodically driven bubble clouds
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周期性驱动气泡云的动力学
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
Sanjoy Banerjee
中科院分区：
文献类型：
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作者：
P. Smereka;Sanjoy Banerjee
平均双流体模型用于研究气泡云的运动。线性化运动方程被证明是具有耗散和色散的波动方程。还检查了完全非线性方程，并证明了云的截止频率等于单个气泡的固有频率。然后导出周期性驱动的气泡云的稳定线性响应。当驱动频率低于截止频率时会出现谐振。当驱动频率高于截止频率时，云的内核被外层屏蔽。对周期性驱动的气泡云的非线性动力学进行了数值研究。研究发现，截止频率对于确定云是否会像单个气泡一样至关重要。此外，在某些条件下，云的行为类似于阻尼和驱动的单自由度哈密顿系统。
An averaged two‐fluid model is used to study the motion of a cloud of bubbles. The linearized equations of motion are shown to be a wave equation with both dissipation and dispersion. The fully nonlinear equations are also examined and it is demonstrated that the cutoff frequency of the cloud is equal to the natural frequency of a single bubble. The steady linear response of a periodically driven bubble cloud is then derived. Resonances are seen to arise when the driving frequency is below the cutoff frequency. The inner core of the cloud is shielded by an outer layer when the driving is above the cutoff frequency. The nonlinear dynamics of periodically driven bubble clouds is studied numerically. It is found that the cutoff frequency is crucial in determining whether or not the cloud will behave like a single bubble. Also, under some conditions the cloud is seen to behave like a damped and driven single‐degree‐of‐freedom Hamiltonian system.