Numerical analysis of the interaction of 3D compressible bubble clusters

doi:10.1007/s10483-019-2509-6

Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (8): 1181-1196.doi: https://doi.org/10.1007/s10483-019-2509-6

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Numerical analysis of the interaction of 3D compressible bubble clusters

Hui GUAN¹, Jincheng WANG², Zhijun WEI³, Chuijie WU²

1. College of Meteorology and Oceanography, National University of Defense Technology, Nanjing 211101, China;
2. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, Liaoning Province, China;
3. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, Liaoning Province, China

Received:2019-01-07 Revised:2019-02-14 Online:2019-08-01 Published:2019-08-01
Contact: Jincheng WANG E-mail:jcwangdut@foxmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11572350, 11372068, and 11602051), the National Key Basic Research Program (973 Program) of China (No. 2014CB744104), the China Postdoctoral Science and Foundation (No. 2016M591433), and the Natural Science Foundation of Liaoning Province, China (No. 20170540151)

Abstract

Abstract: Based on the bubble dynamic theory and the compressible two-phase flow solver of the open source software OpenFOAM, a numerical simulation study is carried out on the interactions of bubble clusters in a closed volume. The bubble dynamics and interactions of a single bubble, two bubbles, and four bubbles are investigated under the working conditions without and with the presence of a free surface. Through a parametric study, the qualitative patterns of the variations of the bubble collapse period, the volume compressibility, the bubble pressure peak value, and the breakdown, fusion, and separation phenomena with the parameters such as the bubble pressure, the radius size, the bubble spacing, and the distance from the free surface are obtained. The main factors affecting the bubble morphology and the dynamic characteristics are summarized from numerous parameter experiments. It is shown that, in the absence of a free surface, the main factors are the relative size of the bubbles, the pressure of the liquid, and the pressure differences among the bubbles, while in the presence of a free surface, the main factor is the pressure of the liquid between the upper surface of the bubble and the free surface.

Key words: pansystems methodology, bifurcation, catastrophe, chaos and stability, nonlinear mechanics, pansystems logic conservation law, compressible two-phase flow, interaction of bubbles, OpenFOAM

2010 MSC Number:

76N15

Hui GUAN, Jincheng WANG, Zhijun WEI, Chuijie WU. Numerical analysis of the interaction of 3D compressible bubble clusters. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1181-1196.

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References 17

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Numerical analysis of the interaction of 3D compressible bubble clusters

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