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Acta Mechanica Sinica

, Volume 3, Issue 1, pp 11–21 | Cite as

On pressure and thermal flux in gas-mixture flows and in two-phase flows

  • Liu Dayou
Article

Abstract

To begin with, two different definitions of pressure, thermal flux, etc. in the diffusion model and two-fluid model are given. Then the physical interpretations of the pressure and the thermal flux are provided by introducing the momentum and energy fluxes,M and ε, through a surface dS in the flow field. The quantities defined in the diffusion model are suggested when the motion of the mixture is studied as a whole, while the quantities defined in the two-fluid model are suggested when the motion of individual species is studied. The collision pressure and thermal flux in dense gas-mixtures are also discussed in detail, i.e. their origin, their expressions in the momentum and energy equations, and their distinctions from the normal partial pressure and thermal flux. A gas-particle flow can be treated as a flow of dense gas-mixtures. The long-standing controversy whether the “inertial coupling term” should exist in the momentum equation can be clarified by the two different definitions of pressure.

Key Words

thermal flux diffusion model two-fluid model collision pressure kinetic theory 

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References

  1. [1]
    Soo, S.L., On one dimensional motion of a single component in two-phases.Int.J.Multiphase Flow,3 (1976), 79–82.zbMATHCrossRefGoogle Scholar
  2. [2]
    Chao, B.T., Sha, W.T. and Soo, S.L., On inertial coupling in dynamic equation of components in a mixture.Int. J. Multiphase Flow,4 (1978), 219–224.zbMATHCrossRefGoogle Scholar
  3. [3]
    Sha, W.T. and Soo, S.L., Multidomain multiphase fluid mechanics,Int. J. Heat and Mass Transfer,21 (1978), 1581–1595.zbMATHCrossRefGoogle Scholar
  4. [4]
    Sha W.T. and Soo, S.L., On the effect of P·Vα term in multiphase mechnics.Int. J. Multiphase Flow,5, (1979), 153–158.zbMATHCrossRefGoogle Scholar
  5. [5]
    Chao. B.T., Sha, W.T. and Soo S.L., In response to discussion of G.B.Wallis(1978) and J.A.Bou're(1979).Int.J.Multiphase Flow,6 (1980), 383–384.CrossRefGoogle Scholar
  6. [6]
    Crowe, C.T., On Soo's equations for the one-dimensional motion of single-component two-phase flow,Int.J.Multiphase Flow,4(1978), 225–228.CrossRefGoogle Scholar
  7. [7]
    Wallis, G.B., Discussion of the paper “On inertial coupling in dynamic equations of components in a mixture”.Int.J.Multiphase Flow,4 (1978), 585–586.CrossRefGoogle Scholar
  8. [8]
    Boure, J.A., On the form of the pressure terms in the momentum and energy equations of two-phase model.Int.J.Multiphase Flow,6 (1979), 159–164.CrossRefGoogle Scholar
  9. [9]
    Hee Cheon No, On Soo's equations in multidomain multiphase fluid mechanics,Int.J.Multiphase Flow, 8 (1982). 297–299.Google Scholar
  10. [10]
    Chapman, S. and Cowling, T.G., The Mathematical Theory of Non-Uniform Gases, Cambridge (1970).Google Scholar
  11. [11]
    Liu, D.Y., Set up the equations for two-phase flows by the method of kinetic theory.ACTA Mechanica Sinica,2, 3(1986).zbMATHGoogle Scholar
  12. [12]
    Mitchner, M. and Kruger, Jr.C.H., Partially Ionized Gases (chapter 7). John Wiley & Sons (1979).Google Scholar
  13. [13]
    Boyd, T.J.M. and Sanderson.J.J., Plasma Dynamics (Chapter 3). Thomas Nelson & Sons Ltd. (1969).Google Scholar
  14. [14]
    Woods, L.C., The Thermodynamics of Fluid Systems (Chapter 9), Claredon Oxford (1975).Google Scholar
  15. [15]
    Pai, S.I., Modern Fluid Mechnics. Science Press, Beijing (1981).Google Scholar
  16. [16]
    Leontovich, M.A., Reviews of Plasma Physics, Vol.1.Google Scholar
  17. [17]
    Ishii, M., Thermo-Fluid Dynamic Theory of Two-Phase Flow, Eyrolles, Paris(1975).zbMATHGoogle Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1987

Authors and Affiliations

  • Liu Dayou
    • 1
  1. 1.Institute of MechanicsAcademia SinicaChina

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