TOWARD A HYDRODYNAMIC THEORY OF SONOLUMINESCENCE
TOWARD A HYDRODYNAMIC THEORY OF SONOLUMINESCENCE
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DOI：
10.1063/1.858700
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发表时间：
1993-11-01
期刊：
影响因子：
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通讯作者：
PUTTERMAN, SJ
中科院分区：
文献类型：
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作者：
LOFSTEDT, R;BARBER, BP;PUTTERMAN, SJ
在马赫数较小的情况下，瑞利-普莱塞特方程（修改后包括声辐射阻尼）提供了气泡呼吸运动的流体动力学描述。给出了气泡半径作为时间函数的测量结果。结果表明，在声致发光条件下，气泡最大半径与最小半径之比约为100。在此范围内，导出了最大气泡半径、坍塌温度和持续时间的标度规律。包含质量扩散使人们能够计算环境半径。对于可听声场，这些方程产生皮秒热点，如在实验中观察到的。然而，分析表明，声致发光的详细描述需要使用导致运动达到大马赫数的参数。因此，解释声致发光的下一步将需要扩展气泡动力学，以包括非线性效应，如激波。
For small Mach numbers the Rayleigh-Plesset equations (modified to include acoustic radiation damping) provide the hydrodynamic description of a bubble's breathing motion. Measurements are presented for the bubble radius as a function of time. They indicate that in the presence of sonoluminescence the ratio of maximum to minimum bubble radius is about 100. Scaling laws for the maximum bubble radius and the temperature and duration of the collapse are derived in this limit. Inclusion of mass diffusion enables one to calculate the ambient radius. For audible sound fields these equations yield picosecond hot spots, such as are observed experimentally. However, the analysis indicates that a detailed description of sonoluminescence requires the use of parameters for which the resulting motion reaches large Mach numbers. Therefore the next step toward explaining sonoluminescence will require the extension of bubble dynamics to include nonlinear effects such as shock waves.