The KSFM Journal of Fluid Machinery (한국유체기계학회 논문집)

Korean Society for Fluid machinery (한국유체기계학회)
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Two-dimensional Numerical Simulation of the Rising Bubble Flows Using the Two Phase Lattice Boltzmann Method

2상 격자 볼츠만 방법을 이용한 상승하는 기포 유동 2차원 수치 모사

  • Received : 2009.12.18
  • Accepted : 2010.06.09
  • Published : 2010.08.01
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Abstract

Free energy based lattice Boltzmann method (LBM) has been used to simulate the rising bubble flows with large density ratio. LBM with compact discretization is able to reduce the spurious current of the static bubble test and be satisfied with the Laplace law. The terminal rise velocity and shape of the bubbles are dependent on Eotvos number, Morton number and Reynolds number. For single bubble flows, simulations are executed for various Eotvos number, Morton number and Reynolds number, and the results are agreed well with the experiments. For multiple bubbles, the bubble flow characteristics are related by the vortex pattern of the leading bubble. The coalescence of the bubbles are simulated successfully and the subsequent results are presented. The present method is validated for static, dynamic bubble test cases and compared to the numerical, experimental results.

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References

  1. D. Juric and G. Tryggvason, 1997, “Computations of Boiling Flows,” Int. J. Multiphase Flow, Vol. 24, pp. 387-410. https://doi.org/10.1016/S0301-9322(97)00050-5
  2. F. H. Harlow and J. E. Welch, 1965, “Numerical calculation of time-dependent viscous incompressible flow,” Phys. Fluids, Vol. 8, pp. 2182-2189. https://doi.org/10.1063/1.1761178
  3. C. W. Hirt and B. D. Nichols, 1981, “Volume of fluid (VOF) method for the dynamics of free boundaries,” J. Comput. Phys., Vol. 39, pp. 210-225. https://doi.org/10.1016/0021-9991(81)90145-5
  4. J. A. Sethian, 1996, Level Set Methods, Cambridge University Press.
  5. H. W. Zheng, C. Shu and Y. T. Chew, 2006, “A Lattice Boltzmann for Multiphase Flows with Large Density Ratio,” J. Comput. Phys., Vol. 218, pp. 353-371. https://doi.org/10.1016/j.jcp.2006.02.015
  6. T. Lee and P. F. Fischer, 2006, “Eliminating parasitic currents in the lattice Boltzmann equation method for nonideal gases,” Phys. Rev. E, Vol. 74, 046709. https://doi.org/10.1103/PhysRevE.74.046709
  7. S. Succi, 2001, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Oxford University Press, Oxford.
  8. S. Chen and G. D. Doolen, 1998, “Lattice Boltzmann method for fluid flows,” Ann. Rev. Fluid Mech., Vol. 30, pp. 329-364. https://doi.org/10.1146/annurev.fluid.30.1.329
  9. X. Shan, 2006, “Analysis and reduction of the spurious current in a class of multiphase lattice Boltzmann models,” Phys. Rev. E, Vol. 73, 047701. https://doi.org/10.1103/PhysRevE.73.047701
  10. D. Jacqmin, 1999, “Calculation of two-phase Navier-Stokes flows using phase-field modeling,” J. Comput. Phys., Vol. 155, pp. 96-127. https://doi.org/10.1006/jcph.1999.6332
  11. Z. Guo, C. Zhen and B. Shi, 2002, “Discrete lattice effects on the forcing term in the lattice Boltzmann method,” Phys. Rev. E, Vol. 65, 046308. https://doi.org/10.1103/PhysRevE.65.046308
  12. M. Rudman, 1997, “Volume-Tracking methods for Interfacial Flow Calculations,” Int. J. Numer. Methods Fluids, Vol. 24, pp. 671-691. https://doi.org/10.1002/(SICI)1097-0363(19970415)24:7<671::AID-FLD508>3.0.CO;2-9
  13. Y. Renardy and M. Renardy, 2002, “PROST: A Parabolic Reconstruction of Surface Tension for the Volumeof-Fluid Method,” J. Comput. Phys., Vol. 183, pp. 400-421. https://doi.org/10.1006/jcph.2002.7190
  14. D. Bhaga and M. E. Weber, 1981, “Bubbles in viscous liquids : shapes, wakes and velocities,” J. Fluid Mech., Vol. 105, pp. 61-85. https://doi.org/10.1017/S002211208100311X
  15. J. Hua and J. Lou, 2007, “Numerical simulation of bubble rising in viscous liquid,” J. Comput. Phys., Vol. 222, pp. 769-795. https://doi.org/10.1016/j.jcp.2006.08.008
  16. G. Brereton and D. Korotney, 1991, “Coaxial and oblique coalescence of two rising bubbles,” AMD, Vol. 119, ASME, New York.

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