Transport Properties of Polyatomic Fluids. IV. The Kinetic Theory of a Dense Gas of Perfectly Rough Spheres
- 15 November 1966
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 45 (10), 3485-3512
- https://doi.org/10.1063/1.1727365
Abstract
The Enskog theory of transport in a dense gas is applied to the rough‐sphere model. A formal analog of the Chapman—Enskog method is developed in order to construct the normal solution of the corresponding kinetic equation. Accurate estimates are given for the coefficients of shear and bulk viscosity and of thermal conductivity. A procedure is provided for computing the coefficient which characterizes the antisymmetric portion of the stress tensor and also for estimating the coefficients of proportionality between the flux of spin angular momentum and the gradient of the local spin velocity. Numerical values are given for these and other transport coefficients and characteristic relaxation times. A study is provided of the hydrodynamical significance of antisymmetric stress and of spin flux. Finally, the theory of this paper is compared with other, rather more heuristic, methods.Keywords
This publication has 15 references indexed in Scilit:
- Transport Properties of Polyatomic Fluids. III. The Transport—Relaxation Equations for a Dilute Gas of Rough SpheresThe Journal of Chemical Physics, 1966
- Transport Properties of Polyatomic Fluids, a Dilute Gas of Perfectly Rough SpheresThe Journal of Chemical Physics, 1965
- Nonstationary DiffusionPhysics of Fluids, 1964
- Fluid Mechanical Aspects of Antisymmetric StressPhysics of Fluids, 1964
- Theory of structured continua I. General consideration of angular momentum and polarizationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- Asymptotic Theory of the Boltzmann EquationPhysics of Fluids, 1963
- Approximate Theory of Viscosity and Thermal Conductivity in Dense Polyatomic FluidsPhysics of Fluids, 1962
- Test Particles in a Completely Ionized PlasmaPhysics of Fluids, 1960
- Transport of energy and momentum in a dense fluid of rough spheresMolecular Physics, 1958
- Statistical mechanics, thermodynamics, and fluid dynamics of systems with an arbitrary number of integralsCommunications on Pure and Applied Mathematics, 1952