Steady irrotational flow of inviscid liquid of density Ο l around a spherical gas bubble which lies on the axis of a cylindrical pipe is investigated using the analysis of Smythe (Phys. Fluids 4 (1961) 756). The bubble radius b = qa is assumed small compared to the pipe radius a, and the interfacial
The Transient Dynamics of a Small Bubble Rising in a Low Morton Number Regime
β Scribed by M. Ohta; M. Tsuji; Y. Yoshida; M. Sussman
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 660 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0930-7516
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β¦ Synopsis
Abstract
The effect of initial bubble conditions on the transient dynamics of a small bubble (dβ=β1.5βmm) rising in water is computationally considered by a fully threeβdimensional direct numerical simulation. The numerical algorithm is based on the coupled level set/volumeβofβfluid (CLSVOF) method for representing and updating the airβwater interface and the sharp interface approach is used to treat the airβwater interfacial boundary conditions. The transient bubble dynamics are investigated using bubbles with five different kinds of shapes as initial bubble conditions. It is shown computationally that the states of bubble shape, bubble trajectory, and terminal velocities greatly depend on initial conditions. As a consequence, the computational results have led us to conclusions in support of the experimental findings by Wu and Gharib [1] and Tomiyama et al. [2]. That is, the dynamic behavior of a rising bubble in a surface tension force dominant system is effected by the initial conditions.
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