For forced radial oscillations of gas bubbles in liquids, a more rigorous expression of the acoustic damping constant based on Keller’s equation is developed. Comparison with those in published papers is also made. The expression offered in this paper will improve the predictions of total damping constant in particular for high frequencies and large bubbles, i.e., large ωR₀/c _l (ω is the frequency of driving sound field, R₀ is the equilibrium bubble radius, c _l is the sound speed in the liquid). Examples in ultrasound imaging and acoustical oceanography are demonstrated.

中文翻译：

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液体可压缩性对液体中气泡径向振动的影响

对于液体中气泡的强制径向振荡，基于凯勒方程开发了更为严格的声阻尼常数表达式。还与已发表论文进行了比较。在本文所提供的表达会提高总阻尼常数的特别是用于高频率和大的气泡，即，大的预测ωR ₀ / Ç_升（ω是驱动声场的频率，- [R ₀是平衡气泡半径，Ç _l是液体中的声速）。演示了超声成像和声学海洋学中的示例。