• Acta Physica Sinica
  • Vol. 68, Issue 7, 074301-1 (2019)
Shi Chen*, Di Zhang, Cheng-Hui Wang, and Yin-Hong Zhang
DOI: 10.7498/aps.68.20182299 Cite this Article
Shi Chen, Di Zhang, Cheng-Hui Wang, Yin-Hong Zhang. Restraining effect of resonant propagation of acousticwaves in liquids with mixed bubbles[J]. Acta Physica Sinica, 2019, 68(7): 074301-1 Copy Citation Text show less
Attenuation spectrums of acoustic waves in liquids with two kinds of bubbles.含两种混合气泡的液体中声波的衰减谱
Fig. 1. Attenuation spectrums of acoustic waves in liquids with two kinds of bubbles.含两种混合气泡的液体中声波的衰减谱
Relationships between ()and relative peak values or bandwidths of attenuation spectrums of acoustic waves in liquids with two kinds of bubbles.含两种混合气泡的液体中声波衰减谱的相对峰值和相对带宽与(或者)的关系
Fig. 2. Relationships between ( )and relative peak values or bandwidths of attenuation spectrums of acoustic waves in liquids with two kinds of bubbles. 含两种混合气泡的液体中声波衰减谱的相对峰值和相对带宽与 (或者 )的关系
Speed spectrums for different (or ) in liquids with two kinds of bubbles. Here is 0, 0.20, 0.40, 0.60, 0.80, 0.90, 0.95 and 1.00, respectively. is 0, 0.05, 0.10, 0.20, 0.40, 0.60, 0.80 and 1.00, respectively. The white arrow indicates the direction of increase of , the gray arrow indicates the direction of increase of .在含两种混合气泡的液体中, 不同(或者)对应的声波的声速谱 图中分别是0, 0.20, 0.40, 0.60, 0.80, 0.90, 0.95, 1.00, 或者分别是0, 0.05, 0.10, 0.20, 0.40, 0.60, 0.80, 1.00. 左边的箭头表示增加的方向, 右边的箭头表示增加的方向
Fig. 3. Speed spectrums for different (or ) in liquids with two kinds of bubbles. Here is 0, 0.20, 0.40, 0.60, 0.80, 0.90, 0.95 and 1.00, respectively. is 0, 0.05, 0.10, 0.20, 0.40, 0.60, 0.80 and 1.00, respectively. The white arrow indicates the direction of increase of , the gray arrow indicates the direction of increase of . 在含两种混合气泡的液体中, 不同 (或者 )对应的声波的声速谱 图中 分别是0, 0.20, 0.40, 0.60, 0.80, 0.90, 0.95, 1.00, 或者 分别是0, 0.05, 0.10, 0.20, 0.40, 0.60, 0.80, 1.00. 左边的箭头表示 增加的方向, 右边的箭头表示 增加的方向
Attenuation spectrums for different in liquids with two kinds of bubbles. Here, , is , , and , respectively. The arrow indicates the direction of increase of .在含两种混合气泡的液体中, 不同时声波的相对衰减谱 图中, 分别是, , 和, 箭头表示该角频率区域增加的方向
Fig. 4. Attenuation spectrums for different in liquids with two kinds of bubbles. Here, , is , , and , respectively. The arrow indicates the direction of increase of . 在含两种混合气泡的液体中, 不同时声波的相对衰减谱 图中 , 分别是 , , 和 , 箭头表示该角频率区域 增加的方向
Speed spectrums for different in liquids with two kinds of bubbles. Here, , is , , and , respectively. The arrow indicates the direction of increase of .在含两种混合气泡的液体中, 不同时声波的声速谱 图中, 分别是, , 和, 箭头表示该角频率区域增加的方向
Fig. 5. Speed spectrums for different in liquids with two kinds of bubbles. Here, , is , , and , respectively. The arrow indicates the direction of increase of . 在含两种混合气泡的液体中, 不同时声波的声速谱 图中 , 分别是 , , 和 , 箭头表示该角频率区域 增加的方向
Attenuation spectrums for different viscosity in liquids with two kinds of bubbles.在两种混合气泡的液体中黏度不同时声波的衰减谱
Fig. 6. Attenuation spectrums for different viscosity in liquids with two kinds of bubbles.在两种混合气泡的液体中黏度不同时声波的衰减谱
Attenuation spectrums for different . Here, , , .在含多种混合气泡的液体中气泡的种类数不同时声波的衰减谱. 图中, ().
Fig. 7. Attenuation spectrums for different . Here, , , . 在含多种混合气泡的液体中气泡的种类数不同时声波的衰减谱. 图中 , ( ).
Attenuation spectrums for different distribution functions of bubble number. The thin solid line indicates the systems with two kinds of bubbles. Here, R = , .气泡满足不同分布时声波的衰减谱 细实线是参考曲线, 它对应着存在两种混合气泡的情况; 对其他曲线而言, 各个气泡的静态半径分别是R = 20 + 40(j – 1)/ , ,
Fig. 8. Attenuation spectrums for different distribution functions of bubble number. The thin solid line indicates the systems with two kinds of bubbles. Here, R = , . 气泡满足不同分布时声波的衰减谱 细实线是参考曲线, 它对应着存在两种混合气泡的情况; 对其他曲线而言, 各个气泡的静态半径分别是R = 20 + 40(j – 1)/ , ,
Shi Chen, Di Zhang, Cheng-Hui Wang, Yin-Hong Zhang. Restraining effect of resonant propagation of acousticwaves in liquids with mixed bubbles[J]. Acta Physica Sinica, 2019, 68(7): 074301-1
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