| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Bubble nucleation in spherical liquid cavity wrapped by elastic medium |
| Xian-Mei Zhang(张先梅), Fan Li(李凡), Cheng-Hui Wang(王成会)†, Jing Hu(胡静), Run-Yang Mo(莫润阳), Zhuang-Zhi Shen(沈壮志), Jian-Zhong Guo(郭建中), and Shu-Yu Lin(林书玉) |
| Institute of Shaanxi Key Laboratory of Ultrasonics, Shaanxi Normal University, Xi'an 710119, China |
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Abstract According to classical nucleation theory, gas nuclei can generate and grow into a cavitation bubble when the liquid pressure exceeds a threshold. However, classical nucleation theory does not include boundary effects. An enclosed spherical liquid cavity surrounded by elastic medium is introduced to model the nucleation process in tissue. Based on the equilibrium pressure relationship of a quasi-static process, the expressions of the threshold and the modified nucleation rate are derived by considering the tissue elasticity. It is shown that the constraint plays an important role in the nucleation process. There is a positive correlation between nucleation threshold pressure and constraint, which can be enhanced by an increasing tissue elasticity and reducing the size of the cavity. Meanwhile, temperature is found to be a key parameter of nucleation process, and cavitation is more likely to occur in confined liquids at temperature T >100 ℃. In contrast, less influences are induced by these factors, such as bulk modulus, liquid cavity size, and acoustic frequency. Although these theoretical predictions of the thresholds have been demonstrated by many previous researches, much lower thresholds can be obtained in liquids containing dissolved gases, e.g., the nucleation threshold is about -21 MPa in a liquid of 0.8-nm gas nuclei at room temperature. Moreover, when there is a gas nucleus of 20 nm, the theoretical threshold pressure might be less than 1 MPa.
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Received: 23 October 2022
Revised: 07 December 2022
Accepted manuscript online: 09 December 2022
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PACS:
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43.35.+d
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(Ultrasonics, quantum acoustics, and physical effects of sound)
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43.25.+y
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(Nonlinear acoustics)
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47.55.dp
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(Cavitation and boiling)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11974232 and 11727813). |
Corresponding Authors:
Cheng-Hui Wang
E-mail: wangld001@snnu.edu.cn
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Cite this article:
Xian-Mei Zhang(张先梅), Fan Li(李凡), Cheng-Hui Wang(王成会), Jing Hu(胡静), Run-Yang Mo(莫润阳), Zhuang-Zhi Shen(沈壮志), Jian-Zhong Guo(郭建中), and Shu-Yu Lin(林书玉) Bubble nucleation in spherical liquid cavity wrapped by elastic medium 2023 Chin. Phys. B 32 064303
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