Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.01315 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917253293801472 |
|---|---|
| author | Li, Dabao Qin, Lang Zuo, Zhigang Zhou, Guangzhao |
| author_facet | Li, Dabao Qin, Lang Zuo, Zhigang Zhou, Guangzhao |
| contents | Small bubbles rising in a chain can self-organize into regular patterns upon reaching a liquid's free surface. This phenomenon is investigated through direct numerical simulations. By varying the bubble release period, distinct branching patterns characterized by different numbers of arms are observed. These macroscopic regular configurations arise from localized non-contact repulsion and pair collisions between bubbles as they arrive at the free-surface emergence site. A theoretical model is proposed to quantitatively relate the number of branches to the bubble release period. The model also predicts probabilities of observing specific arm counts in reality. This study provides insights into broader nonlinear pattern formation and self-organization phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01315 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rising bubbles draw surface patterns: a numerical study Li, Dabao Qin, Lang Zuo, Zhigang Zhou, Guangzhao Fluid Dynamics Small bubbles rising in a chain can self-organize into regular patterns upon reaching a liquid's free surface. This phenomenon is investigated through direct numerical simulations. By varying the bubble release period, distinct branching patterns characterized by different numbers of arms are observed. These macroscopic regular configurations arise from localized non-contact repulsion and pair collisions between bubbles as they arrive at the free-surface emergence site. A theoretical model is proposed to quantitatively relate the number of branches to the bubble release period. The model also predicts probabilities of observing specific arm counts in reality. This study provides insights into broader nonlinear pattern formation and self-organization phenomena. |
| title | Rising bubbles draw surface patterns: a numerical study |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2509.01315 |