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


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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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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