Ostwald Ripening of Buoyancy-Driven Microbubbles
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916664703975424 |
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| author | Uematsu, Yuki |
| author_facet | Uematsu, Yuki |
| contents | Microbubble solutions have a wide range of industrial applications, including heat transfer, agriculture, and water treatment. Therefore, understanding and controlling the size variation of bubbles is critical. In this study, we develop a theoretical framework for Ostwald ripening in buoyancy-driven microbubbles by introducing a height-dependent size distribution function. For the first time, we show that the population balance equation in steady state can be interpreted within the Lifshitz-Slezov-Wagner theory when the distribution function is redefined as the density distribution of the buoyancy-induced flux. Notably, in this form of Ostwald ripening, the distribution function approaches a scaled universal distribution, not over time, but as a function of height. We analytically derive the scaled universal distribution and show that the fifth power of the mean radius of the bubbles grows linearly with height. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22128 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ostwald Ripening of Buoyancy-Driven Microbubbles Uematsu, Yuki Chemical Physics Soft Condensed Matter Statistical Mechanics Fluid Dynamics Microbubble solutions have a wide range of industrial applications, including heat transfer, agriculture, and water treatment. Therefore, understanding and controlling the size variation of bubbles is critical. In this study, we develop a theoretical framework for Ostwald ripening in buoyancy-driven microbubbles by introducing a height-dependent size distribution function. For the first time, we show that the population balance equation in steady state can be interpreted within the Lifshitz-Slezov-Wagner theory when the distribution function is redefined as the density distribution of the buoyancy-induced flux. Notably, in this form of Ostwald ripening, the distribution function approaches a scaled universal distribution, not over time, but as a function of height. We analytically derive the scaled universal distribution and show that the fifth power of the mean radius of the bubbles grows linearly with height. |
| title | Ostwald Ripening of Buoyancy-Driven Microbubbles |
| topic | Chemical Physics Soft Condensed Matter Statistical Mechanics Fluid Dynamics |
| url | https://arxiv.org/abs/2503.22128 |