Lattice Boltzmann Simulation of Bubble Dynamics in a Confined Channel

Authors

https://doi.org/10.48313/mtei.v2i3.60

Abstract

In this study, a numerical analysis of the buoyancy-driven rise of a single bubble within a confined channel has been carried out by using the Shan-Chen multi-component multiphase Lattice Boltzmann Method (LBM). After verifying the numerical model by comparing results with those predicted by the Laplace law and bubble deformation for a square bubble, a series of numerical simulations has been conducted to explore the effects of the Eötvös number (2-60) and wall effects on bubble dynamics. It has been observed that, with increasing Eötvös number, bubble deformation increases. The bubble shape changes from an elliptical form at a low Eötvös number to a disk-like form at a high Eötvös number. Moreover, at an Eötvös number greater than or equal to 40, shear-induced bubble breakup has been observed. Moreover, streamline analysis shows that, with increasing Eötvös number, the strength of the wake vortex and the level of turbulence both increase. This argument can be explained by the decrease in damping with increasing Eötvös number. For bubbles released close to the wall, an asymmetric shear stress has been observed. This results in an oscillatory trajectory. With an increase in the Eötvös number, the level of oscillation increases. For an Eötvös number between 40 and 60, the oscillatory trajectory results from breakup. It has also been observed that the Morton number (Mo), has a negligible effect on bubble dynamics.   

Keywords:

Lattice Boltzmann method, Shan-Chen model, Bubble dynamics, Eötvös number, Confined channel, Multiphase flow

References

  1. [1] Clift, R., Grace, J. R., & Weber, M. E. (2005). Bubbles, drops, and particles. https://www.researchgate.net/publication/233845152_Bubbles_Drops_and_Particles

  2. [2] Gunstensen, A. K., Rothman, D. H., Zaleski, S., & Zanetti, G. (1991). Lattice Boltzmann model of immiscible fluids. Physical review a, 43(8), 4320. https://doi.org/10.1103/PhysRevA.43.4320

  3. [3] Rothman, D. H., & Keller, J. M. (1988). Immiscible cellular-automaton fluids. Journal of statistical physics, 52(3), 1119–1127. https://doi.org/10.1007/BF01019743

  4. [4] Grunau, D., Chen, S., & Eggert, K. (1993). A lattice Boltzmann model for multiphase fluid flows. Physics of fluids a: fluid dynamics, 5(10), 2557–2562. https://doi.org/10.1063/1.858769

  5. [5] Swift, M. R., Osborn, W. R., & Yeomans, J. M. (1995). Lattice Boltzmann simulation of nonideal fluids. Physical review letters, 75(5), 830. https://doi.org/10.1103/PhysRevLett.75.830

  6. [6] Shan, X., & Chen, H. (1993). Lattice Boltzmann model for simulating flows with multiple phases and components. Physical review e, 47(3), 1815. https://doi.org/10.1103/PhysRevE.47.1815

  7. [7] Takada, N., Misawa, M., Tomiyama, A., & Hosokawa, S. (2001). Simulation of bubble motion under gravity by lattice Boltzmann method. Journal of nuclear science and technology, 38(5), 330–341. https://doi.org/10.1080/18811248.2001.9715037

  8. [8] Gupta, A., & Kumar, R. (2007). Lattice boltzmann simulation to study multiple bubble dynamics. ASME international mechanical engineering congress and exposition. ASME. (Vol. 43025, pp. 1593–1604). https://doi.org/10.1115/IMECE2007-43218

  9. [9] He, X., Shan, X., & Doolen, G. D. (1998). Discrete Boltzmann equation model for nonideal gases. Physical review e, 57(1), R13. https://doi.org/10.1103/PhysRevE.57.R13

  10. [10] He, X., Chen, S., & Zhang, R. (1999). A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh--Taylor instability. Journal of computational physics, 152(2), 642–663. https://doi.org/10.1006/jcph.1999.6257

  11. [11] Qin, M., Zhang, N., Zhang, H., Zhang, W., Liu, P., Wang, M., … & Dong, J. (2025). LBM simulation of bubble breakup dynamics in microchannels at large density ratios. Chemical engineering science, 306, 121253. https://doi.org/10.1016/j.ces.2025.121253

  12. [12] Chen, H. (2025). Coalescence of compound droplets with unequal-sized inner cores. AIChE journal, e70164. https://doi.org/10.1002/aic.70164

  13. [13] Jing, H., Xing, H., Du, X., Sun, D., Zheng, Y., & Han, Y. (2025). Bubble rising dynamics with obstacles and dendrite in viscous electrolytes: A smoothed boundary method reformulated phase-field lattice-Boltzmann study. Physics of fluids, 37(8). https://doi.org/10.1063/5.0281871

  14. [14] Wan, J., Ding, H., Wang, N., Dong, W., & Wang, Z. (2025). LBM simulation of bubble dynamics in a microchannel with multi-hole orifice plate. European journal of mechanics-b/fluids, 113, 204260. https://doi.org/10.1016/j.euromechflu.2025.204260

  15. [15] Li, D., Xing, J., Zhang, Z., & Wang, H. (2025). Numerical investigation on the dynamic behavior of bubbles under forced flow in a microchannel. RSC advances, 15(29), 23414–23426. https://doi.org/10.1039/d5ra02116b

  16. [16] Ji, J., Li, C., Xie, J., & Tang, Z. (2025). Multiscale bubble breakup dynamics adjacent to a blade in unsteady turbulence within a bubble breaker. Physics of fluids, 37(1). https://doi.org/10.1063/5.0249730

  17. [17] Ding, Z., Li, R., & Luo, K. H. (2025). LBM studies on oxygen bubble transport in porous transport layers and flow channel of proton exchange membrane water electrolyzers. Journal of power sources, 642, 236959. https://doi.org/10.1016/j.jpowsour.2025.236959

  18. [18] Al-Zahiwat, M. M., Omar, I., Babadoust, S., Sabri, L. S., Yazdkhsti, A., Sajadi, S. M., … & Emami, N. (2025). Using of multi-phase thermal model of the lattice boltzmann method for simulation of two-phase rayleigh--Bénard convective heat transfer. Results in chemistry, 13, 101975. https://doi.org/10.1016/j.rechem.2024.101975

  19. [19] Ho, N. X., & Vu, T. V. (2023). Numerical study of head-on collision of two equal-sized compound droplets. Physics of fluids, 35(6). https://doi.org/10.1063/5.0153227

  20. [20] Zhao, Y., Wang, Z., Yang, Q., Zhang, B., Gao, Q., & Hong, S. (2025). Kinetic study of head-on collisions of unequal-sized compound droplets. Physics of fluids, 37(1). https://doi.org/10.1063/5.0246229

  21. [21] Bhatnagar, P. L., Gross, E. P., & Krook, M. (1954). A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Physical review, 94(3), 511. https://doi.org/10.1103/PhysRev.94.511

  22. [22] Shan, X., & Doolen, G. (1995). Multicomponent lattice-Boltzmann model with interparticle interaction. Journal of statistical physics, 81(1), 379–393. https://doi.org/10.1007/BF02179985

Published

2025-09-26

How to Cite

Goudarzi Karim, R. ., & Seyyed Esmaeil Najafi. (2025). Lattice Boltzmann Simulation of Bubble Dynamics in a Confined Channel. Mechanical Technology and Engineering Insights, 2(3), 222-232. https://doi.org/10.48313/mtei.v2i3.60