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Two-dimensional Numerical Simulation of the Contact Angle and the Bubble Necking Using the Two Phase Lattice Boltzmann Method

2상 격자 볼츠만 방법을 이용한 접촉각과 Bubble Necking 2차원 수치 모사

  • Received : 2010.10.31
  • Accepted : 2011.02.22
  • Published : 2011.06.01

Abstract

Free energy based lattice Boltzmann method (LBM) has been used to simulate the contact angle and the bubble necking with large density ratio. LBM with the proper contact angle model is able to reduce the spurious currents and eliminate the singularity in the contact lines. The numerical results of the contact angles are satisfied with the Youngs law. For bubble necking flows, simulations are executed for various viscosities and contact angles. The phenomena of the bubble necking are simulated successfully and the subsequent results are presented. The present method is also applicable to the nucleate boiling flows.

Keywords

References

  1. D. Juric and G. Tryggvason, 1997, “Computations ofBoiling Flows,” Int. J. Multiphase Flow, Vol. 24, pp.387-410.
  2. F. H. Harlow and J. E. Welch, 1965, “Numericalcalculation of time-dependent viscous incompressibleflow,” 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.
  4. J. A. Sethian, 1996, Level Set Methods, CambridgeUniversity Press.
  5. S. Succi, 2001, The Lattice Boltzmann Equation forFluid Dynamics and Beyond, Oxford University Press,Oxford.
  6. S. L. Lee and S. R. Sheu, 2001, “A new numericalformulation for incompressible viscous free surfaceflow without smearing the free surface,” Int. J. Heatand Mass Transfer, Vol. 44, pp. 1837-1848. https://doi.org/10.1016/S0017-9310(00)00247-7
  7. M. Renardy, Y. Renardy and J. Li, 2001, “NumericalSimulation of Moving Contact Line Problems Using aVolume-of-Fluid Method,” J. Comput. Phys., Vol. 171,pp. 243-263. https://doi.org/10.1006/jcph.2001.6785
  8. A. J. Briant, P. Papatzacos and J. M. Yeomans, 2002,“Lattice Boltzmann simulations of contact line motionin a liquid-gas system,” Philos. Trans. Roy. Soc. LondonA 360, pp. 485-495. https://doi.org/10.1098/rsta.2001.0943
  9. Y. Y. Yan and Y. Q. Zu, 2007, “A Lattice Boltzmannmethod for incompressible two-phase flows on partialwetting surface with large density ratio,” J. Comput.Phys., Vol. 227, pp. 763-765. https://doi.org/10.1016/j.jcp.2007.08.010
  10. T. Lee and L. Lin, 2008, “Wall boundary conditions inthe lattice Boltzmann equation method for nonidealgases,” Phys. Rev. E, Vol. 78, 017702. https://doi.org/10.1103/PhysRevE.78.017702
  11. J. Eggers, 1997, “Nonlinear dynamics and breakup offree-surface flows,” Rev. Mod. Phys., Vol. 69, 865. https://doi.org/10.1103/RevModPhys.69.865
  12. S. T. Thoroddsen, T. G. Etoh and K. Takehara, 2007,“Experiments on bubble pinch-off,” Phys. Fluids, Vol.19, 042101. https://doi.org/10.1063/1.2710269
  13. S. Quan and J. Hua, 2008, “Numerical studies ofbubble necking in viscous liquids,” Phys. Rev. E, Vol.77, 066303. https://doi.org/10.1103/PhysRevE.77.066303
  14. H. W. Zheng, C. Shu and Y. T. Chew, 2006, “A LatticeBoltzmann for Multiphase Flows with Large DensityRatio,” J. Comput. Phys., Vol. 218, pp. 353-371. https://doi.org/10.1016/j.jcp.2006.02.015
  15. 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
  16. Z. Guo, C. Zhen and B. Shi, 2002, “Discrete lattice effects on the forcing term in the lattice Boltzmannmethod,” Phys. Rev. E, Vol. 65, 046308. https://doi.org/10.1103/PhysRevE.65.046308
  17. D. Bhaga and M. E. Weber, 1981, “Bubbles in viscousliquids : shapes, wakes and velocities,” J. Fluid Mech., Vol. 105, pp. 61-85. https://doi.org/10.1017/S002211208100311X
  18. 유승엽, 박천태, 한승열, 고성호, 2010, “2상 격자 볼츠만 방법을 이용한 상승하는 기포 유동 2차원 수치 모사,” 유체기계저널, 제13권 제4호(통권 61호) pp. 31-36. https://doi.org/10.5293/KFMA.2010.13.4.031

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