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)
aDepartment of Mechanics and Engineering Science, Fudan University, Shanghai 200433, China; bDepartment of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China
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.
Received: 04 February 2008
Revised: 09 June 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10672043 and
10272032).
Cite this article:
Wang Han(王含), Zhang Zhen-Yu(张振宇), Yang Yong-Ming(杨永明), Hu Yüe(胡越), and Zhang Hui-Sheng(张慧生) Numerical investigation of the deformation mechanism of a bubble or a drop rising or falling in another fluid 2008 Chin. Phys. B 17 3847
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