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中文摘要：
本文详细推导了气泡受周期性力场影响的数学模型，分析了各种惯性力和浮力对气泡径向受力的影响。分析发现，摇摆产生的周期性惯性力中切向惯性力起主要作用，在摇摆台处于最大摆角时达到最大，法向惯性力和科氏惯性力对气泡的作用可忽略。摇摆角度增大、摇摆周期减小及气泡距实验段入口距离增大均会造成气泡所受径向周期性惯性力波动幅值增大。考虑到摇摆造成气泡所受浮力的周期性变化，浮力的波动幅值远大于周期性惯性力的波动幅值。此外，气泡受力波动幅值随气泡尺寸的增大显著增大，与气泡变形无关。
英文摘要：
The mathematical model describing the influence of periodical inertial forces introduced by rolling on bubbles was presented. The effect of radial forces including inertial and buoyancy forces on bubbles was investigated. Of all the periodical inertial forces, the centrifugal and Coriolis forces can be ignored, while the tangential force plays an important role on bubbles, reaching to its maximum when the rolling platform is at maximal rolling angle. The fluctuation amplitude of periodical inertial forces on radial direetion increases with the rolling amplitude and the bubble position away from the channel inlet, and also increases with the decrease of the rolling period. By accounting for the periodical variation of buoyancy force under rolling condition, its amplitude is much larger than those of the periodical inertial forces. The fluctuation amplitude of force increases with the bubble size and is independent with the distortion of the bubble.
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