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A closed system of equations for dense two-phase flow and expressions of shearing stress of dispersed phase at a wall

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Abstract

In this paper, each of the two phases in dense two-phase flow is considered as continuous medium and the fundamental equations for two-phase flow are described in Eulerian form. The generalized constitutive relation of the Bingham fluid is applied to the dispersed phase with the analysis of physical mechanism of dense two-phase flow. The shearing stress of dispersed phase at a wall is used to give a boundary condition. Then a mathematical model for dense two-phase flow is obtained. In addition, the expressions of shearing stress of dispersed phase at a wall is derived according to the fundamental model of the factional collision between dispersed-phase particles and the wall.

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References

  1. Crowe, C.T., Review-Numerical models for dilute gas-particle flows,Journal of Fluids Engineering,104 (1982), 297–303.

    Google Scholar 

  2. Tsai, S.T., Z.Q. Fan and Y.N. Chen, Fundamental equations of turbulent two-phase flow,Applied Math. and Mech.,7, 6 (1985), 515–524.

    Google Scholar 

  3. Tsai, S.T., Sedimentation motion of sand particles in moving water (I),Acta of Physics,13, 5 (1957), 388–398. (in Chinese)

    Google Scholar 

  4. Tsai, S.T., Sedimentation motion of sand particles in still water (I),Acta of Physics,12, 5 (1956), 402–408. (in Chinese)

    Google Scholar 

  5. Green, H.S.,The Molecular Theory of Fluids, Amsterdam (1952).

  6. Wang, Z.X.,Introduction to Statistic Physics, The People's Education Publisher (1979), (in Chinese)

  7. Tsai, S.T. and Y.A. Jiang, On the linking up between Bingham fluid and plugged flow,Applied Math. and Mech. 8, 3 (1987). 197–202.

    Google Scholar 

  8. Lin, D.M. and T.S. Tsai, An application of the mathematical model for dense two-phase flow to the flow in a pipeline.Applied Math. and Mech. (to be published)

  9. Lin, D.M., The constitutive relation and boundary condition of two-phase flow with high density and their application to flows in a tube, Thesis of M.S., Univ. of Sci. and Tech. of China (1987).

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Authors and Affiliations

  1. Shanghai Institute of Applied Math. and Mech., Shanghai

    Lin Duo-min & Tsai Shu-tang

  2. Dept. of Modern Mech., Univ. of Sci. and Tech. of China, Hefei

    Tsai Shu-tang

Authors
  1. Lin Duo-min
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  2. Tsai Shu-tang
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Duo-min, L., Shu-tang, T. A closed system of equations for dense two-phase flow and expressions of shearing stress of dispersed phase at a wall. Appl Math Mech 10, 679–687 (1989). https://doi.org/10.1007/BF02019293

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  • DOI: https://doi.org/10.1007/BF02019293

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