Accession Number : AD0480246

Title :   KINETIC THERMODYNAMICS.

Descriptive Note : Technical rept.,

Corporate Author : VIRGINIA UNIV CHARLOTTESVILLE

Personal Author(s) : Sandri, Guido ; Kritz, Arnold ; Schatzman, Frederick

Report Date : MAR 1966

Pagination or Media Count : 140

Abstract : A phenomenological method, kinetic thermodynamics, is presented which allows for a systematic analysis of the transport properties of real gases. The method is based on the assumption that the conservation laws and symmetry principles of irreversible thermodynamics can be extended into molecular phase space. After a general formulation of 'kinetic thermodynamics' the method is applied to describe the transport properties of inert gases, their binary mixtures, and gases in which simple reactions are occurring, e.g., diatomic association and dissociation. It is shown for inert gases and their binary mixtures that our approach corresponds to a natural generalization of the mean free path theory which is independent of the details of the interparticle interaction. A substantial improvement over Jeans' formulation of the mean free path theory is obtained by the inclusion of a parameter that allows for a simple interpretation of thermal diffusion. Corrections to transport properties due to lack of temperature equipartition of the components and to the ratio of chemical kinetic rates due to non-equilibrium conditions are deduced with our approach. It is shown that the first order kinetic thermodynamic distribution coincides with the Chapman-Enskog first order distribution if an appropriate choice of parameters is made. A derivation of kinetic thermodynamics from the Liouville theorem is outlined. (Author)

Descriptors :   (*GASES, TRANSPORT PROPERTIES), COMBUSTION, REACTION KINETICS, STATISTICAL MECHANICS, THERMODYNAMICS, MICROSCOPY, MOLECULAR STRUCTURE, MIXTURES, DIATOMIC MOLECULES, DISSOCIATION, PARTICLES, THERMAL DIFFUSION, MATHEMATICAL ANALYSIS, RARE GASES, IRREVERSIBLE PROCESSES, KINETIC THEORY, DENSITY, GAS FLOW, VELOCITY, MOMENTUM, LINEAR SYSTEMS, EQUATIONS, OPERATORS(MATHEMATICS), SHOCK WAVES, DETONATIONS.

Subject Categories : Thermodynamics
      Combustion and Ignition

Distribution Statement : APPROVED FOR PUBLIC RELEASE