单泡声致发光中气泡的动力学特性——振子模型
Dynamic behavior of gas bubble in single bubble sonoluminescence——vibrator model
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摘要: 单泡声致发光是通过气泡的运动将低能量密度的声能转换成高能量密度的光能的能量转换过程。因此,把气泡看作以流体为负载的振子,利用带有能量耗散函数的Lagrangian方程,可以获得描述在不可压缩、粘滞流体中气泡近球对称振动的运动方程。在适当近似下,利用解析解对气泡在膨胀、崩溃和回弹这3个过程中的动力学行为进行了讨论,得到单泡声致发光中气泡动力学特性较为简明的物理图像。Abstract: Single bubble sonoluminescence is a process of energy transformation from sound to light. Therefore the motion equations of near spherical vibration of a gas bubble in an incompressible and viscous liquid can be deduced by Lagrangian procedure with dissipation function when the bubble is considered as a vibrator surrounded by liquid. The analytical solutions in the bubble expanding, collapse and rebound stages can be obtained by solving these motion equations when some approximations are adopted. And the dynamic behaviors of the bubble in these three stages are discussed.