Current models for calculating nonlinear power dissipation during the oscillations of acoustically excited bubbles generate non-physical values for the radiation damping (Drd) term for some frequency and pressure regions that include near resonance oscillations. Moreover, the ratio of the dissipated powers significantly deviate from the values that are calculated by the linear model at low amplitude oscillations (acoustic excitation pressure of PA=1 kPa and expansion ratio of <≊1.01). In high amplitude oscillation regimes (Pa⩾20 kPa), the dissipated power due to Drd deviates largely from the dissipated power as calculated by the widely accepted approach that uses the scattered power by the bubbles. We provide critical corrections to the present models. The validity of the results was examined in regimes of low amplitude oscillations and high amplitude oscillations. In the low amplitude regime, the ratio of the dissipated powers as calculated by the current and proposed model were compared with the linear model predictions. At higher amplitude oscillations, the dissipated power by radiation loss as calculated by the current and the proposed models were compared with the dissipated power calculated using the scattered power by the bubbles. We show that non-physical values are absent in the proposed model. Moreover, predictions of the proposed approach are identical to the predictions of the linear model and the dissipated power estimated using the scattered pressure by the bubble. We show that damping due to thermal effects, liquid viscosity and radiation heavily depend on the excitation pressure and that the linear model estimations are not valid even at pressures as low as 20 kPa.

中文翻译：

---

超声激发气泡非线性功耗模型的关键校正。

用于计算在声激发的气泡的振荡期间的非线性功率耗散的当前模型针对包括近共振振荡的某些频率和压力区域生成辐射衰减（Drd）项的非物理值。此外，在低振幅振荡时（PA的声激发压力= 1 kPa，膨胀比<≊1.01），耗散功率的比值明显偏离线性模型所计算的值。在高振幅振荡状态（Pa⩾20kPa）中，由于Drd引起的耗散功率大大偏离了耗散功率，该耗散功率是通过广泛接受的方法计算得出的，该方法使用了气泡的散逸功率。我们对当前模型进行了重要的更正。在低振幅振荡和高振幅振荡的情况下检查了结果的有效性。在低振幅状态下，将当前模型和拟议模型计算的功率消耗比与线性模型预测值进行比较。在更高振幅的振荡下，将通过电流和拟议模型计算出的辐射损耗所产生的耗散功率与利用气泡所产生的散射能所计算出的耗散功率进行了比较。我们表明，在建议的模型中没有非物理值。此外，所提出的方法的预测与线性模型的预测以及使用气泡的分散压力估算的耗散功率相同。我们证明了由于热效应引起的阻尼，