journal article·2026-03-01Open access

Collective rising dynamics of four bubbles under surface tension with adaptive refinement SPH

Hui Liu, Han Cheng, Jie Wu, Wanli Yu

AIP Advances· Volume 16· Issue 3

Abstract

The rising dynamics of interacting bubbles are of fundamental importance in multiphase flow applications. In this study, an adaptive refinement smoothed particle hydrodynamics (AR-SPH) method is applied to investigate the collective behavior of four initially adjacent bubbles. The model is first validated by simulating a single bubble rising in a quiescent liquid, with displacement and velocity curves showing good agreement with reference data. On this basis, multi-bubble simulations are conducted to explore the role of surface tension, characterized by the Eotvos number (Eo = 10, 30, 50, 70, 90). The results indicate that, at low Eo, strong coalescence occurs and toroidal bubbles are formed; at moderate Eo, partial merging and breakup take place; while at high Eo, the bubbles remain separated. These findings highlight the capability of AR-SPH for resolving multi-bubble interactions and provide new insights into surface-tension-driven bubble group dynamics.
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Research context

OpenAlex topics: Fluid Dynamics Simulations and Interactions · Fluid Dynamics and Heat Transfer · Fluid Dynamics and Mixing

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Jiangsu Ocean University , Lianyungang 222000,

Funding

National Natural Science Foundation of China · Jiangsu Provincial Natural Science Foundation for Young Scientists · State Key Laboratory of Geo-Information Engineering and Key Laboratory of Surveying and Mapping Science and Geospatial Information Technology of MNR, CASM · Key Laboratory of Ocean Geomatics, Ministry of Natural Resources, China · Natural Science Foundation of Jiangsu Higher Education Institutions of China

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