Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Simulation of a Taylor Bubble Rising in a Vertical Tube

수직관에서 상승하는 Taylor 기포의 수치해석

  • Son, Gi-Heon (Department of Mechanical Engineering, Sogang University)
  • Published : 2001.03.01
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Abstract

In this study, a single Taylor bubble and a train of Taylor bubbles rising in a vertical tube were simulated numerically. A finite difference method was used to solve the mass and momentum equations for the liquid-gas region. The liquid-gas interface was captured by a level set function which is defined a signed distance from the interface. For a train of Taylor bubbles repeated periodically in space, the periodic conditions were imposed at the boundaries normal to the gravitational direction and the pressure boundary conditions were iteratively determined so that the computed flow rate should be equal to a given flow rate. Based on the numerical simulation, the calculated shape and rise velocity of a Taylor bubble were found to be in good agreement with the experimental data reported in the literature.

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References

  1. Wallis, G. B., 1969, One-Dimensional Two-Phase Flow, McGraw-Hill, New York
  2. Dumitresku, D. T., 1943, 'Stromung an Einer Luftblase im Senkrechten Rohr,' Z. Angew. Math. Mech., Vol. 23, pp. 139-149
  3. Collins, R., De Moraes, F. F., Davidson, J. F. and Harrison, D., 1978, 'The Motion of a Large Gas Bubble Rising through Liquid Flowing in a Tube,' J Fluid Mech., Vol. 89, pp. 497-514 https://doi.org/10.1017/S0022112078002700
  4. Mao, Z. S. and Dukler, A. E., 1991, 'The Motion of Taylor Bubbles in Vertical Tubes-II. Experimental Data and Simulations for Laminar and Turbulent Flow,' Chem. Eng. Sci., Vol. 46, pp. 2055-2064 https://doi.org/10.1016/0009-2509(91)80164-T
  5. Polonsky, S., Barnea, D. and Shemer, L., 1999, 'Averaged and Time-dependent Characteristics of the Motion of an Elongated Bubble in a Vertical Pipe,' Int. J Multiphase Flow, Vol. 25, pp. 795-812 https://doi.org/10.1016/S0301-9322(98)00066-4
  6. Nicklin, D. J., Wilkes, J. O. and Davidson, J. F., 1962, 'Two-Phase Flow in Vertical Tubes,' Trans. Inst., Chem. Engrs, Vol. 40, pp. 61-68
  7. Bendiksen, J. H., 1984, 'An Experimental Investigation of the Motion of Long Bubbles in Inclined Tubes,' Int. J. Multiphase Flow, Vol. 10, pp. 467-483 https://doi.org/10.1016/0301-9322(84)90057-0
  8. Bendiksen, J. H., 1985, 'On the Motion of Long Bubbles in Vertical Tubes,' Int. J. Multiphase Flow, Vol. 11, pp. 797-812 https://doi.org/10.1016/0301-9322(85)90025-4
  9. Clarke, A. and Issa, R. I., 1997, 'A Numerical Model of Slug Flow in Vertical Tubes,' Computers & Fluids, Vol. 26, pp. 395-415 https://doi.org/10.1016/S0045-7930(96)00016-3
  10. Bugg, J. D., Mack, K. and Rezkallah, K. S., 1998, 'A Numerical Model of Taylor Bubbles Rising through Stagnant Liquids in Vertical Fluids,' Int. J. Multiphase Flow, Vol. 24, pp. 271-281 https://doi.org/10.1016/S0301-9322(97)00047-5
  11. Patankar, S. V., Liu, C. H. and Sparrow, E. M., 1977, 'Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area,' J. Heat Transfer, Vol. 99, pp. 180-186
  12. Esmaeeli, A. and Tryggvason, G., 1998, 'Direct Numerical Simulations of Bubbly Flows. Part 1. Low Reynolds Number Arrays,' J. Fluid Mech., Vol. 377, pp. 313-345 https://doi.org/10.1017/S0022112098003176
  13. 손기헌, 이상렬, '1999, '수중에서 상승하는 기포거동에 관한 수치해석,' 대한기계학회논문집 B권, 제23권 제12호, pp. 1606-1613
  14. Gresho, P. M., 1990, 'On the Theory of Semi-Implicit Projection Methods for Viscous Incompressible Flow and Its Implementation via a Finite Element Method that also Introduces a Nearly Consistent Mass Matrix. Part 1: Theory,' Int. J. Numer. Methods Fluids, Vol. 11, pp. 587-620 https://doi.org/10.1002/fld.1650110509
  15. Son, G. and Dhir, V. K., 1998, 'Numerical Simulation of Film Boiling near Critical Pressures with a Level Set Method,' J. Heat Transfer, Vol. 120, pp. 183 -192
  16. Polonsky, S., Shemer, L. and Barnea, D., 1999, 'The Relation between the Taylor Bubble Motion and the Velocity Field Ahead of It,' Int. J. Multiphase Flow, Vol. 25, pp. 957-975 https://doi.org/10.1016/S0301-9322(99)00037-3