物理学报2017,Vol.66Issue(23):251-261,11.DOI:10.7498/aps.66.234702
流体黏性及表面张力对气泡运动特性的影响
Influence of viscosity and surface tension of fluid on the motion of bubbles
摘要
Abstract
Boundary integral simulation has been conducted to study the motion and deformation of bubbles with weak viscous and surface tension effects in fluid. Both normal and tangential stress boundary conditions are satisfied and the weak viscous effects are confined to the thin boundary layers around bubble surfaces, which is also known as boundary layer theory of bubble. By using this method, the influence of viscosity and surface tension of fluid on the motion of bubbles has been studied. Both axisymmetric and three-dimensional numerical results are compared with analytical results of Rayleigh-Plesset equation. Good agreement between them is achieved, which validates the numerical model. On this basis, interaction model between two vertically placed bubbles is established, by taking the surface tension, gravity, and viscous effects into consideration. Variations of physical quantities including bubble deformation, jet velocity, and energy of fluid are studied. Last but not least, the influence of viscosity and surface tension on the motion of a spherical bubble is investigated. It is found that viscous effects of fluid depress the pulsation of bubble and part of fluid energy is transformed into viscous dissipation energy. As a result, the development of bubble jet, the radius of the bubble, and the jet velocity are reduced gradually. On the other hand, the surface tension of fluid does not change the range of the bubble pulsation but reduces the period of the bubble pulsation and enhances the potential energy of the bubble. This model and numerical results aim to provide some references for bubble dynamics in bioengineering, chemical engineering, naval architecture, and ocean engineering, etc.关键词
气泡/边界层/黏性/表面张力Key words
bubble/boundary layer/viscosity/surface tension引用本文复制引用
艾旭鹏,倪宝玉..流体黏性及表面张力对气泡运动特性的影响[J].物理学报,2017,66(23):251-261,11.基金项目
国家自然科学基金 (批准号: 51639004, 51579054, 11472088)、 中央高校基本科研业务基金 (批准号: HEUCFM170110, HEUCFP201701, HEUCFP201777) 和哈尔滨工程大学学科创新引智计划资助的课题. Supported by the National Natural Science Foundation of China (Grant Nos. 51639004, 51579054, 11472088), the Fundamen-tal Research Funds for the Central Universities, China (Grant Nos. HEUCFM170110, HEUCFP201701, HEUCFP201777), and the 111 Project of Harbin Engineering University, China. (批准号: 51639004, 51579054, 11472088)