Abstract
On the basis of the thermodynamics of irreversible processes, an expression is derived for the thermal conductivity of a chemically reacting gas mixture.
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Abbreviations
- xi :
-
molar fraction of i-th component
- Ju :
-
energy flux
- ci :
-
mass fraction of i-th component
- Jq :
-
heat flux
- Ji :
-
mass flux of i-th component
- T:
-
absolute temperature
- μ i :
-
molar chemical potential of i-th component
- Lik, Luu, Lui :
-
phenomenological coefficients, associated respectively with the transfer of mass and energy and with the superimposed effects
- Xu and Xk :
-
thermodynamic forces associated with the mass and energy fluxes
- hi :
-
enthalpy of i-th component
- S:
-
entropy of i-th component
- Dij :
-
diffusion coefficient of a multicomponent mixture
- D Ti :
-
thermodiffusion coefficient of i-th component in a multicomponent system
- μ 0(O, p):
-
chemical potential in standard state
- ρ :
-
density
- h:
-
number density of mixture particles
- hj :
-
number density of particles of i-th component
- mi :
-
molecular weigh of i-th component
- p:
-
pressure of mixture
- vi :
-
specific volume of i-th component
- H:
-
heat of reaction
- r:
-
number of component of mixture
- R:
-
gas constant
- dt :
-
thermodiffusion coefficient of a binary mixture
References
W. Nernst, Boltzmann-Festschrift, 904–915, 1904.
E. U. Frank, Z. Physik. Chem.201, 16–31, 1952.
I. Z. Meixner, Naturforschung,7a, 553–569, 1952.
E. U. Frank and W. Z. Spalthoff, Elektrochemie,58, 374–381, 1954.
W. Frie and H. Z. Maecker,162, 69–83, 1961.
J. O. Hirshfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids [Russian translation], IL, 1961.
S. R. De Groot, Thermodynamics of Irreversible Processes [Russian translation], Gostekhizdat, 1956.
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Verba, M.I., Portnov, V.D. Thermal conductivity of a chemically reacting ternary gas mixture. Journal of Engineering Physics 9, 446–448 (1965). https://doi.org/10.1007/BF00831579
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DOI: https://doi.org/10.1007/BF00831579