Abstract
For numerical analysis of multiphase flow, each interface boundary should be captured, and the geometric deformation of the interface needs to be predicted. To predict the interface, the singular interface model and diffusion interface model can be used. Among them, free energy based lattice Boltzmann method has adopted the diffusion interface model, with which it is easy to simulate complex multiphase flow phenomena such as bubble collapse, droplet collision, and moving contact lines. A new lattice Boltzmann method for the simulation of multiphase flows is described, and test results for the validation are presented. Finally, some simulations were carried out for the investigation of dynamic behavior of multiple rising bubbles.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Abbreviations
- f α, g α :
-
Particle distribution function
- φ :
-
Order parameter
- w α :
-
Weighting factor
- τ f, τ φ :
-
Non-dimensional relaxation time
- θ M :
-
Mobility
- μ φ :
-
Chemical potential
- σ :
-
Surface tension coefficient
References
Y. Taitel and A. E. Dukler, A model for predicting flow regime transitions in horizontal and near horizontal gasliquid flow, AIChE J., 22 (1976) 47–55.
J. M. Mandhane, G. A. Gregory and K. Aziz, A flow pattern map for gas-liquid flow in horizontal pipes, Int. J. Multiphase Flow, 1 (1974) 537–553.
D. Bhaga and M. E. Weber, Bubbles in viscous liquids: shapes, wakes and velocities, J. Fluid Mech., 105 (1981) 61–85.
J. G. Collier, Convective Boiling and Condensation, 2nd Ed., McGraw-Hill, New York (1981).
C. W. Hirt and B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, J. Comput. Phys., 39 (1981) 201–225.
J. A. Sethian, Level Set Methods, Cambridge University Press, Cambridge, England (1996).
S. O. Unverdi and G. Tryggvason, A front-tracking method for viscous, incompressible, multi-fluid flows, J. Comput. Phys., 100 (1992) 25–37.
A. K. Gunstensen, D. H. Rothman, S. Zaleski and G. Zanetti, Lattice Boltzmann model of immiscible fluids, Phys. Rev. A, 43 (1991) 4320–4327.
D. Grunau, S. Chen and K. Eggert, A lattice Boltzmann model for multiphase fluid flows, Phys. Fluids, 5 (1993) 2557–2562.
X. Shan and H. Chen, Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E, 47 (1993) 1815–1819.
M. R. Swift, E. Orlandini, W. R. Osborn and J. M. Yeomans, Lattice Boltzmann simulations of liquid-gas and binary fluid systems, Phys. Rev. E, 54 (1996) 5041–5052.
X. He, S. Chen and R. Zhang, A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh Taylor instability, J. Comput. Phys., 152 (1999) 642–663.
H. W. Zheng, C. Shu and Y. T. Chew, A lattice Boltzmann model for multiphase flows with large density ratio, J. Comput. Phys., 218 (2006) 353–371.
T. Lee and L. Liu, Lattice Boltzmann simulations of micron-scale drop impact on dry surfaces, J. Comput. Phys., 229 (2010) 8045–8063.
J. J. Huang, C. Shu and Y. T. Chew, Mobility-dependent bifurcations in capillarity-driven two-phase fluid systems by using a lattice Boltzmann phase-field model, Int. J. Numer. Methods Fluids, 60 (2009) 203–225.
A. J. Briant and J. M. Yeomans, Lattice Boltzmann simulations of contact line motion. II. Binary fluids, Phys. Rev. E, 69 (2004) 031603.
S. Ryu and S. Ko, A comparative study of lattice Boltzmann and volume of fluid method for two-dimensional multiphase flows, Nucl. Eng. Technol., 44 (6) (2012) 623–638.
N. Jeong, A comparative study of free energy based lattice Boltzmann models for two-phase flow, J. Comput. Fluids Eng., 24 (2) (2019) 69–75.
S. Hysing, S. Turek, D. Kuzmin, N. Parolini, E. Burman, S. Ganesan and L. Tobiska, Quantitative benchmark computations of two-dimensional bubble dynamics, Int. J. Numer. Meth. Fluids, 60 (2019) 1259–1288.
Acknowledgments
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. NRF- 2017R1D1A1B03028324).
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Hyoung Gwon Choi
Namgyun Jeong received his B.S., M.S. and Ph.D. from the Division of Mechanical Engineering of KAIST in 1999, 2001 and 2007, respectively. His research is focused on computational fluid dynamics. The subjects of his interest are multiphase flow and rarefied gas flow.
Rights and permissions
About this article
Cite this article
Jeong, N. Numerical study on the dynamic behavior of multiple rising bubbles using the lattice Boltzmann method. J Mech Sci Technol 33, 5251–5260 (2019). https://doi.org/10.1007/s12206-019-1016-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-019-1016-4