Heat Conductivity of Polyatomic and Polar Gases and Gas Mixtures

A theory is presented which can be used for the practical calculation of the heat conductivity of polyatomic and polar gases and gas mixtures. For pure gases, the results are based on the Wang Chang—Uhlenbeck equations and involve no approximations, provided that a suitable definition of an internal diffusion coefficient is employed. This is compared with the known results for a gas of rough spheres, and found to hold to all orders of approximation. Approximations enter for real gases only in obtaining numerical estimates of internal diffusion coefficients and relaxation times. The result is essentially the same as that of Mason and Monchick. For mixtures, the results are based on the formal kinetic theory recently obtained by Monchick, Yun, and Mason. A brief digression on sound absorption and dispersion in mixtures is made in order to identify the cross relaxation times in the formulas. Two assumptions are required for mixtures to obtain usable formulas: neglect of ``complex collisions,'' and no correla...

[1]  J. Ferron,et al.  Project SQUID: Self-Diffusion Coefficients of Carbon Dioxide at 1180-1680 K. , 1962 .

[2]  E. A. Mason,et al.  Determination of Gaseous‐Diffusion Coefficients from Viscosity Measurements , 1962 .

[3]  G. M. Watson,et al.  Gaseous Diffusion in Porous Media. III. Thermal Transpiration , 1963 .

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

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

[6]  P. Gray,et al.  A comparison of experimental and theoretical values of the thermal conductivity of binary mixtures of nitrogen and hydrogen , 1962, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

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

[8]  E. A. Mason,et al.  FORMAL KINETIC THEORY OF TRANSPORT PHENOMENA IN POLYATOMIC GAS MIXTURES , 1963 .

[9]  Edward A. Mason,et al.  Heat Conductivity of Polyatomic and Polar Gases , 1962 .

[10]  E. A. Mason,et al.  Motion of Small Suspended Particles in Nonuniform Gases , 1962 .

[11]  E. A. Mason,et al.  INTERMOLECULAR FORCES FROM DIFFUSION AND THERMAL DIFFUSION MEASUREMENTS , 1960 .

[12]  E. A. Mason.  Molecular Relaxation Times from Thermal Transpiration Measurements , 1963 .

[13]  Edward A. Mason,et al.  TRANSPORT PROPERTIES OF POLAR GAS MIXTURES , 1962 .

[14]  G. Uhlenbeck,et al.  Studies in statistical mechanics , 1962 .

[15]  A. Ben-Reuven,et al.  Pressure‐Induced Shifts of DCl Lines Due to HCl: Shift Oscillation , 1964 .

[16]  Peter Gray,et al.  The thermal conductivity of mixtures of nitrogen, ammonia and hydrogen , 1961, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[17]  G. Jones,et al.  Rotational relaxation in helium + oxygen and helium + nitrogen mixtures , 1962 .

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

[19]  L. Monchick.  SMALL PERIODIC DISTURBANCES IN POLYATOMIC GASES , 1964 .

[20]  R. Brokaw,et al.  Thermal Conductivities of Gaseous H2O, D2O, and the Equimolar H2O—D2O Mixture , 1964 .

[21]  R. Brokaw.  Thermal Conductivity of Nitrogen‐Carbon Dioxide Mixtures , 1959 .

[22]  E. A. Mason,et al.  Relaxation Effects in the Transport Properties of a Gas of Rough Spheres , 1963 .