应用数学和力学2024,Vol.45Issue(7) :835-849.DOI:10.21656/1000-0887.450018

基于EFEM和气泡统一方程的双气泡耦合效应研究

Investigation of Coupling Effects of Double Bubbles Based on the EFEM and the Unified Bubble Equation

许流逸 李世民 王诗平 刘云龙 张阿漫
应用数学和力学2024,Vol.45Issue(7) :835-849.DOI:10.21656/1000-0887.450018

基于EFEM和气泡统一方程的双气泡耦合效应研究

Investigation of Coupling Effects of Double Bubbles Based on the EFEM and the Unified Bubble Equation

许流逸 1李世民 1王诗平 1刘云龙 1张阿漫1
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作者信息

  • 1. 哈尔滨工程大学船舶工程学院,哈尔滨 150001
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摘要

基于Euler有限元方法(EFEM),建立了双气泡水下脉动轴对称数值模型,通过与气泡统一方程和实验结果的对比,该模型的准确性和网格的收敛性得到了充分验证.计算结果表明,相比其他气泡理论,气泡统一方程对气泡动力学行为和流场中压力载荷的预测更为准确.结合EFEM和气泡统一方程,研究了浮力参数δ和强度参数ε对双气泡耦合规律的影响.当δ ≤ 0.15时,上气泡在下气泡的作用下会产生垂直向下的射流,此时下气泡边界与固壁边界相似;而当δ增大至0.2时,下气泡对上气泡的影响减弱,浮力效应占据主导地位,上气泡的射流方向垂直向上.ε对气泡间的耦合作用未造成明显影响,但当ε≥150时,其对气泡射流速度的作用会明显减弱.

Abstract

Based on the Eulerian finite element method(EFEM),an axially symmetric numerical model was established for 2-bubble underwater pulsation.The accuracy of the model and the convergence of the mesh were fully verified by comparison with the unified bubble equation and experimental results.The calculation re-sults show that,the unified bubble equation is more accurate than other bubble theories in predicting the bub-ble dynamic behavior and the pressure load in the flow field.Combined with the EFEM and the unified bubble e-quation,the effects of buoyancy parameter δ and strength parameter e on the coupling law of double bubbles were studied.For buoyancy parameter δ ≤ 0.1 5,the upper bubble will produce a vertical downward jet under the action of the lower bubble,and the lower bubble boundary is like the solid wall boundary.For δ increasing to 0.2,the influence of the lower bubble on the upper bubble weakens,the buoyancy effect becomes more prominent and the jet direction of the upper bubble is vertical upward.Strength parameter ε has no obvious effect on the cou-pling between bubbles,but its effect on the bubble jet velocity decreases significantly for ε ≥ 150.

关键词

气泡动力学/EFEM/气泡统一方程/气泡耦合

Key words

bubble dynamics/EFEM/unified bubble equation/bubble coupling

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基金项目

国家自然科学基金(51925904)

国家自然科学基金(52088102)

中国博士后科学基金(2024T171136)

黑龙江省博士后资助项目(LBH-Z23115)

国家资助博士后研究人员计划(GZB20230942)

出版年

2024
应用数学和力学
重庆交通学院

应用数学和力学

CSTPCDCSCD北大核心
影响因子:0.778
ISSN:1000-0887
参考文献量47
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