气泡在波浪中的运动

本文研究了单个球形小气泡在理想流体的波浪场中在浮力作用下的运动，忽略气泡对波流场的影响，导出了气泡运动的方程组。对方程组进行了求解，发现气泡运动中非线性耦合的影响随气泡半径的增大而增大，对于较小的气泡可以忽略；在小气泡情况下，由于重力波频率与气泡本征振动频率相差太远，二者的振动不合耦合，在气泡的上升过程中，气泡的振动很快衰减，基本上可以忽略，给出了气泡上升运动的轨迹所需的时间，在波浪较大，气泡较小

The Motion of a Bubble in Waves

The motion of a single spherical bubble due to buoyancy in the ideal fluid with waves is studied in this article. Assuming that the bubble has no effect on the wave field, equations of a bubble motion are attained.The equations are solved. It is found that the nonlinear effect increases with the increase of the bubble radius.Since the difference between the frequencies of gravity waves and the eigenfrequency of bubbles is great for small bubbles, their oscillations can not be coupled. During the rising of a bubble, the oscillation of the bubble decays very fast,so it can be ignored. The rising time and the motion orbit are given. When the wave is high and the bubble is small, the spiral orbit may appear.