Abstract
According to a mathematical model for dense two-phase flows presented in the previous paper, a dense two-phase flow in a vertical pipeline is analytically solved, and the analytic expressions of velocity of each continuous phase and dispersed phase are respectively derived. The results show that when the drag force between two phases depends linearly on their relative velocity, the relative velocity profile in the pipeline coincides with Darcy's law except for the thin layer region near the pipeline wall, and that the theoretical assumptions in the dense two-phase flow theory mentioned are reasonable.
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References
Lin, D.M. and S.T. Tsai, A closed system of equations for dense two-phase flow and expressions of shearing stress of dispersed phase at a wall,Appl. Math. and Mech.,10, 8 (1989), 679–687.
Michaelides, E.E., A model for prediction of time-average quantities in fluid-solid mixtures,Arch. Mech.,36, 3 (1984), 393–405.
Fan, Z.Q. and Y.N. Chen,Numerical Methods for Two-Phase Flows and Heat Transfers, Teaching Materials of Dept. of Mech., Zhejiang Univ. (1984). (in Chinese)
Pai. S.I.,Two-Phase Flow, Vieweg (1977).
Chapman, S. and T.G. Cowling,The Mathematical Theory of Non-Uniform Gases, Cambridge (1970).
Hinze, J.O.,Turbulence, McGraw-Hill Book Company (1975).
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Duo-min, L., Shu-tang, T. An analytic solution of dense two-phase flow in a vertical pipeline. Appl Math Mech 11, 1095–1103 (1990). https://doi.org/10.1007/BF02016612
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DOI: https://doi.org/10.1007/BF02016612