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Two and Three Dimensional Investigation of Bubble Rising in High Density Ratio

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[01]
Elham Sattari, Department of Mechanical Engineering, Babol Noushirvani University of Technology, Babol, Iran.
[02]
Mojtaba Aghajani Delavar, Department of Mechanical Engineering, Babol Noushirvani University of Technology, Babol, Iran.
[03]
Ehsan Fattahi, Department of Numerical Mathematics, Technical University of Munich, Munich, Germany.
[04]
Korosh Sedighi, Department of Mechanical Engineering, Babol Noushirvani University of Technology, Babol, Iran.

In present paper three-dimensional isothermal Lattice Boltzmann Method have been used to simulate the motion of bubble. The above model is unified with another two dimensional non-isothermal model in order to reduce computational cost. Firstly, it is ensured that the surface tension effect and Laplace law are properly implemented. Secondly, effect of governing dimensionless numbers on terminal Reynolds number and terminal shape of bubble are investigated in 3D and 2D simulations. Different flow patterns in various dimensionless numbers are obtained and by changing the dimensionless number, terminal change of bubble’s shape are seen. The error of 2D solution is calculated. The results show that with increasing terminal Reynolds number increase the difference between 2D and 3D solutions and in high Reynolds number, 2D simulation for this phenomenon is not acceptable.

Two Phase Flow, Lattice Boltzmann Method, Free Energy Approach

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