Heat Conductivity of Polyatomic and Polar Gases

The formal kinetic theory of Wang Chang and Uhlenbeck and of Taxman has been used to derive explicit expressions for the heat conductivity of polyatomic and polar gases. By systematic inclusion of terms involving inelastic collisions the usual modified Eucken expression is derived as a first approximation, and as a second approximation an expression involving the relaxation times for various internal degrees of freedom (as well as the viscosity, diffusion coefficients, and heat capacity). For polar gases a second effect is often important in that a resonant exchange of rotational energy is possible.The comparison of experimental results with those calculated using empirical values of relaxation times is generally satisfactory, and most of the previously noted anomalies in the ratio f=λM/ηCv are accounted for quantitatively.

[1]  J. B. Mann,et al.  THERMAL CONDUCTIVITY OF HELIUM AND HYDROGEN AT HIGH TEMPERATURES , 1960 .

[2]  L. Bennett,et al.  The Thermal Conductivity of Organic Vapors. The Relationship between Thermal Conductivity and Viscosity, and the Significance of the Eucken Factor , 1954 .

[3]  E. R. Grilly,et al.  The Thermal Conductivites of Eight Common Gases between 80° and 380°K , 1946 .

[4]  Norman Taxman.  Classical Theory of Transport Phenomena in Dilute Polyatomic Gases , 1958 .

[5]  W. Kieffer.  Sixth Symposium (International) on Combustion , 1958 .

[6]  J. Hirschfelder.  Heat Conductivity in Polyatomic or Electronically Excited Gases. II , 1957 .

[7]  M. A. Biondi,et al.  Temperature Dependence of Ion Mobilities in Helium, Neon, and Argon , 1957 .

[8]  Stuart A. Rice,et al.  Absorption and Dispersion of Ultrasonic Waves , 1960 .

[9]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[10]  M. Trautz,et al.  Die Reibung, Wärmeleitung und Diffusion in Gasmischungen XV. Die Reibung von H2, N2O, CO2 und C3H8 und ihren binären Gemischen , 1931 .

[11]  J. G. Parker.  Rotational and Vibrational Relaxation in Diatomic Gases , 1959 .

[12]  C. F. Curtiss,et al.  Molecular Theory Of Gases And Liquids , 1954 .

[13]  Herrick L. Johnston,et al.  Viscosities of Several Common Gases between 90°K. and Room Temperature. , 1940 .

[14]  H. O. Kneser,et al.  Oscillation, Rotation, and Spin Relaxation in NO , 1959 .

[15]  R. G. Vines.  Measurement of the Thermal Conductivities of Gases at High Temperatures , 1960 .

[16]  T. Holstein.  Mobilities of Positive Ions in their Parent Gases , 1952 .

[17]  E. Whalley.  Intermolecular Forces and Crystal Properties of Methane , 1959 .

[18]  F. Robben.  Vibrational Relaxation of Nitric Oxide , 1959 .

[19]  Y. S. Touloukian,et al.  Tables of thermal properties of gases , 1955 .

[20]  F. London,et al.  Zur Theorie und Systematik der Molekularkräfte , 1930 .

[21]  G. Uhlenbeck,et al.  Transport phenomena in polyatomic gases , 1951 .

[22]  C. P. Ellis,et al.  High‐Temperature Gas Viscosities. II. Nitrogen, Nitric Oxide, Boron Trifluoride, Silicon Tetrafluoride, and Sulfur Hexafluoride , 1959 .

[23]  Edward A. Mason,et al.  Transport Properties of Polar Gases , 1961 .

[24]  T. G. Cowling,et al.  The mathematical theory of non-uniform gases , 1939 .

[25]  E. A. Mason,et al.  Transport Properties of High‐Temperature Multicomponent Gas Mixtures , 1959 .

[26]  Henry Margenau,et al.  Van der waals forces , 1939 .

[27]  A. J. Rothman,et al.  High Temperature Thermal Conductivity of Gases , 1955 .

[28]  H. L. Johnston,et al.  Heat Capacity Curves of the Simpler Gases. I. Heat Capacity, Entropy and Free Energy of Gaseous Nitric Oxide from Near Zero Absolute to 5000°K.1 , 1933 .

[29]  A. Gordon,et al.  Numerical Evaluation of Infinite Series and Integrals which arise in Certain Problems of Linear Heat Flow, Electrochemical Diffusion, etc , 1930 .

[30]  D. R. Bates,et al.  The mobilities of ions in their parent gases , 1958, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[31]  M. Kohler.  Reibung in mäßig verdünnten Gasen als Folge verzögerter Einstellung der Energie , 1949 .

[32]  Donald Rapp,et al.  Complete Classical Theory of Vibrational Energy Exchange , 1960 .

[33]  D. R. Bates,et al.  Inelastic collisions between atoms I. General theoretical considerations , 1953, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[34]  G. Herzberg,et al.  Infrared and Raman spectra of polyatomic molecules , 1946 .

[35]  R. D. Vold.  The Heat Capacity of Methane and its Halogen Derivatives from Spectroscopic Data , 1935 .

[36]  M. Trautz,et al.  Die Reibung, Wärmeleitung und Diffusion in Gasmischungen XII. Gasreibung bei höheren Temperaturen , 1930 .