Numerical simulation of air–water two–phase flow in vertical pipe using k-ε model

  • Authors

    • Ali Sanati Faculty Member at Hakim Sabzevari University
    2015-01-02
    https://doi.org/10.14419/ijet.v4i1.3965
  • Air-Water Two-Phase Flow, Empirical Correlation, K-Ε Model, Pressure Drop, Vertical Pipe.

  • Abstract

    Two-phase flow exists mostly in pipes and is of substantial importance in pipeline industry. Numerical data are presented in this paper for water and air velocity in two-phase flow through vertical circular channel using both K-ε model and empirical correlations. In order to investigate the pressure distribution for various flow conditions, two-phase flow was considered through two vertical pipes with different lengths and the same diameters. Moreover, we studied flow entering from below and getting out from top of the pipe. Results obtained in this study have been analyzed with experimental data, showing that the average void fraction rises with increasing inlet gas velocity and drops with increasing inlet water velocity. Also results show that Hassan & Kabir method is the most appropriate approach in comparison with the others.

  • References

    1. [1] H.K.Cho, B.Jo Yun, H.Y.Yoon and J.J.Jeong, 2011. Assessment of the Two-Phase Flow Models in the CUPID Code Usingg the Downcomer Boilingg Experiment. Jour. of Nuclear Science and Technology.

      [2] T.S. Zhao, Q.C. Bi. 2000. Pressure Drop Characteristics of Gas-Liquid Two-Phase Flow in Vertical Miniature Triangular Channels. The Hong Kong University of Science and Technology.

      [3] A. Ohnuki, H. Akimoto, 2000. Experimental Study on Transition of Flow Pattern and Phase Distribution in Upward Air-Water Two-Phase Flow along a Large Vertical Pipe. Japan Atomic Energy Research Institute, 319-1195.

      [4] X.Shen, K.Mishima, H.Nakamura, 004. Two-Phase Phase Distribution in a Vertical Large Diameter Pipe. International Jour. of Heat and Mass Transfer. 48 211-225.

      [5] K.A. Ibrahim, M.A. El-Kadi, Mofren H. Hamed and Samy M. El-Behery, 2006. Gas-Solid Two-Phase Flow in 90o Bend. Alexandria Eng. Journal. 417-433.

      [6] Hagedorn, A.R. and Brown, K.E. Experimental Study of Pressure Gradients Occurring During Continuous Two-Phase Flow in Small-Diameter Vertical Conduits. JPT (April 1965) 475; Trans. AIME, 234.

      [7] Duns, H. Jr. and Ros, N.C.J. Vertical Flow of Gas and Liquid Mixtures in Wells. Proc. Sixth World Pet. Cong. Tokyo (1963) 451.

      [8] Orkiszewski, J. Prediction Two-Phase Pressure Drops in Vertical Pipes. JPT (June 1967) 829; Trans. AIME, 240.

      [9] Taitel, Y.M., Barnea, D., and Dukler, A.E. Modeling Flow Pattern Transitions for Steady Upward Gas-Liquid Flow in Vertical Tubes. AICHE J. (1980) 26, 345. http://dx.doi.org/10.1002/aic.690260304.

      [10] Griffith, P. and Wallis, G.B. Two-Phase Slug Flow. J. Heat Transer. (August 1961) 83, 307. http://dx.doi.org/10.1115/1.3682268.

      [11] Griffith, P. Two-Phase Flow in Pipes. Special Summer Program, Masschusetts Inst. of Technology, Cambridge, Massachusetts (1962).

      [12] Brill, J.P. and Beggs, H.D. Two-Phase in Pipes, U. of Tulsa, Tulsa, Oklahoma (1991).

      [13] Beggs, H.D. and Brill, J.P. A Study of Two-Phase Flow in Inclined Pipes. JPT (May 1973) 607; Trans. AIME, 255.

      [14] Davies, R.M. and Taylor, G. The Mechanics of Large Bubbles Rising Through Extended Liquids and Through Liquids in Tubes, Proc., Royal Soc. London (1949) 200A, 375.

      [15] Brill, J.P. Discontinuities in the Orkiszewski Correlation for Predicting Pressure Gradients in Wells. J. Energy Res. Tech. (March 1989) 111, 34. http://dx.doi.org/10.1115/1.3231398.

      [16] Bardina, J.E., Huang, P.G., Coakley, T.J. (1997), "Turbulence Modeling Validation, Testing, and Development", NASA Technical Memorandum 110446.

      [17] Jones, W. P., and Launder, B. E. (1972), "The Prediction of Laminarization with a Two-Equation Model of Turbulence", International Journal of Heat and Mass Transfer, vol. 15, 1972, pp. 301-314. http://dx.doi.org/10.1016/0017-9310(72)90076-2.

      [18] Launder, B. E., and Sharma, B. I. (1974), "Application of the Energy Dissipation Model of Turbulence to the Calculation of Flow Near a Spinning Disc", Letters in Heat and Mass Transfer, vol. 1, no. 2, pp. 131-138. http://dx.doi.org/10.1016/0094-4548(74)90150-7.

      [19] Wilcox, David C (1998). "Turbulence Modeling for CFD". Second edition. Anaheim: DCW Industries, 1998. pp. 174.

      [20] P. Brill and H. Mukherjee. 1999. Multiphase Flow in Wells.

      [21] T. J. Chung. 2002. Computational Fluid Dynamics.

      [22] Mikko Manninen and Veikko Taivassalo. 1996. on the Mixture Model for Multiphase Flow.

      [23] Taitel, Y. M, Barnea, D., and Dukler, A. E. 1980. Modeling Flow Pattern Transitions for Steady Upward Gas-Liquid Flow in Vertical Tubes. AIChE J. 26,345. http://dx.doi.org/10.1002/aic.690260304.

      [24] Wallis, G.B. 1969. One Dimensional Two-Phase Flow. McGraw-Hill Book Co. Incm, New York City.

      [25] Hasan, A.R. and Kabir, C.S. May 1988. A Study of Multiphase Flow Behavior in Vertical Wells, SPEPE 263; Trans., AIME, 285.

      [26] Hasan, A.R. and Kabir, C.S. November 1988. Predicting Multiphase Flow Behavior in a Deviated Well, SPEPE 474.

      [27] Kabir, C.S. and Hasan, A.R. 1990. Performance of a Two-Phase Gas/Liquid Model in Vertical Wells. J. Pet. Sci & Eng. 4,273.

      [28] Mukherjee, H. and Brill, J.P. December 1985. Pressure Drop Correlations for Inclined Two-Phase Flow, J. Energy Res. Tech. 107,549. http://dx.doi.org/10.1115/1.3231233.

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  • How to Cite

    Sanati, A. (2015). Numerical simulation of air–water two–phase flow in vertical pipe using k-ε model. International Journal of Engineering & Technology, 4(1), 61-70. https://doi.org/10.14419/ijet.v4i1.3965

    Received date: 2014-12-01

    Accepted date: 2014-12-29

    Published date: 2015-01-02