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Fundamental Equations of Radiation Gasdynamics

  • Shih-I Pai

Abstract

In radiation gasdynamics, we study the interaction between the gasdynamic field and the radiation field. In the most general analysis, we should consider the distribution functions of a mixture of various types of particles of which photons may be considered as a special type of particles. In deriving the equations for these distribution functions, the relativistic character of photon must be considered. We shall discuss such an analysis in chapter X. In this general case, we may deal with both rarefied gasdynamics and continuum gasdynamics including the effects of radiation field. In order to bring some essential features of radiation effects, we shall consider only the case where the gas may be considered as a continuum in this chapter and the following four chapters. When the gas may be considered as a continuum, the gasdynamic variables are the pressure p, density ρ, temperature T, and three velocity components. In radiation gasdynamics, we have to add the specific intensity of radiation I v to these gasdynamic variables. Hence we need to find seven fundamental equations for these seven unknowns. These fundamental equations are
  1. (i)

    Equation of state which connects the pressure, density, and temperature of the gas (§ 2).

     
  2. (ii)

    Equation of continuity which expresses the conservation of mass of the medium (§ 3).

     
  3. (iii)

    Equations of motion which are generally three in number and which express the conservation of momentum. In radiation gasdynamics, the radiation stresses should be included (§ 4).

     
  4. (iv)

    Equation of energy which expresses the conservation of energy (§ 5).

     
  5. (v)

    Equation of radiative transfer, which determines the specific intensity of radiation (§ 6).

     

Keywords

Free Path Specific Intensity Radiative Transfer Optical Thickness Fundamental Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Wien 1966

Authors and Affiliations

  • Shih-I Pai
    • 1
  1. 1.Institute for Fluid Dynamics and Applied MathematicsUniversity of MarylandCollege ParkUSA

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