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http://dx.doi.org/10.5293/KFMA.2011.14.3.010

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

Ryu, Seung-Yeob (한국원자력연구원)
Kim, Jae-Yong (한국원자력연구원)
Ko, Sung-Ho (충남대학교 기계설계공학과)
Publication Information
The KSFM Journal of Fluid Machinery / v.14, no.3, 2011 , pp. 10-17 More about this Journal
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
Lattice Boltzmann method; Two phase flow; Contact angle; Cahn-Hilliard equation; Free energy; Bubble necking;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 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.   DOI   ScienceOn
2 T. Lee and L. Lin, 2008, “Wall boundary conditions inthe lattice Boltzmann equation method for nonidealgases,” Phys. Rev. E, Vol. 78, 017702.   DOI
3 J. Eggers, 1997, “Nonlinear dynamics and breakup offree-surface flows,” Rev. Mod. Phys., Vol. 69, 865.   DOI   ScienceOn
4 S. T. Thoroddsen, T. G. Etoh and K. Takehara, 2007,“Experiments on bubble pinch-off,” Phys. Fluids, Vol.19, 042101.   DOI
5 S. Quan and J. Hua, 2008, “Numerical studies ofbubble necking in viscous liquids,” Phys. Rev. E, Vol.77, 066303.   DOI
6 D. Jacqmin, 1999, “Calculation of two-phase Navier-Stokes flows using phase-field modeling,” J. Comput.Phys., Vol. 155, pp. 96-127.   DOI
7 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.   DOI
8 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.   DOI
9 D. Bhaga and M. E. Weber, 1981, “Bubbles in viscousliquids : shapes, wakes and velocities,” J. Fluid Mech., Vol. 105, pp. 61-85.   DOI   ScienceOn
10 유승엽, 박천태, 한승열, 고성호, 2010, “2상 격자 볼츠만 방법을 이용한 상승하는 기포 유동 2차원 수치 모사,” 유체기계저널, 제13권 제4호(통권 61호) pp. 31-36.   과학기술학회마을   DOI
11 J. A. Sethian, 1996, Level Set Methods, CambridgeUniversity Press.
12 D. Juric and G. Tryggvason, 1997, “Computations ofBoiling Flows,” Int. J. Multiphase Flow, Vol. 24, pp.387-410.
13 F. H. Harlow and J. E. Welch, 1965, “Numericalcalculation of time-dependent viscous incompressibleflow,” Phys. Fluids, Vol. 8, pp. 2182-2189.   DOI
14 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.
15 S. Succi, 2001, The Lattice Boltzmann Equation forFluid Dynamics and Beyond, Oxford University Press,Oxford.
16 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.   DOI
17 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.   DOI
18 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.   DOI   ScienceOn