中国物理B ›› 2008, Vol. 17 ›› Issue (10): 3847-3855.doi: 10.1088/1674-1056/17/10/051

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Numerical investigation of the deformation mechanism of a bubble or a drop rising or falling in another fluid

张振宇1, 王 含2, 杨永明2, 胡 越2, 张慧生2   

  1. (1)Department of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China; (2)Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China
  • 收稿日期:2008-02-04 修回日期:2008-06-09 出版日期:2008-10-20 发布日期:2008-10-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10672043 and 10272032).

Numerical investigation of the deformation mechanism of a bubble or a drop rising or falling in another fluid

Wang Han(王含)a), Zhang Zhen-Yu(张振宇)b), Yang Yong-Ming(杨永明)a)†, Hu Yüe(胡越)a), and Zhang Hui-Sheng(张慧生)a)   

  1. a Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China; b Department of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China
  • Received:2008-02-04 Revised:2008-06-09 Online:2008-10-20 Published:2008-10-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10672043 and 10272032).

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摘要： A numerical method for simulating the motion and deformation of an axisymmetric bubble or drop rising or falling in another infinite and initially stationary fluid is developed based on the volume of fluid (VOF) method in the frame of two incompressible and immiscible viscous fluids under the action of gravity, taking into consideration of surface tension effects. A comparison of the numerical results by this method with those by other works indicates the validity of the method. In the frame of inviscid and incompressible fluids without taking into consideration of surface tension effects, the mechanisms of the generation of the liquid jet and the transition from spherical shape to toroidal shape during the bubble or drop deformation, the increase of the ring diameter of the toroidal bubble or drop and the decrease of its cross-section area during its motion, and the effects of the density ratio of the two fluids on the deformation of the bubble or drop are analysed both theoretically and numerically.

关键词: bubble, drop, buoyancy, deformation mechanism, VOF method

Abstract: A numerical method for simulating the motion and deformation of an axisymmetric bubble or drop rising or falling in another infinite and initially stationary fluid is developed based on the volume of fluid (VOF) method in the frame of two incompressible and immiscible viscous fluids under the action of gravity, taking into consideration of surface tension effects. A comparison of the numerical results by this method with those by other works indicates the validity of the method. In the frame of inviscid and incompressible fluids without taking into consideration of surface tension effects, the mechanisms of the generation of the liquid jet and the transition from spherical shape to toroidal shape during the bubble or drop deformation, the increase of the ring diameter of the toroidal bubble or drop and the decrease of its cross-section area during its motion, and the effects of the density ratio of the two fluids on the deformation of the bubble or drop are analysed both theoretically and numerically.

Key words: bubble, drop, buoyancy, deformation mechanism, VOF method

中图分类号:  (Surface tension and related phenomena)

  • 68.03.Cd
47.55.P- (Buoyancy-driven flows; convection) 47.55.D- (Drops and bubbles)