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On the balance laws of extended thermodynamics (ET) for non-ideal gases

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  • Banach, Zbigniew

Abstract

The conservation laws of mass and momentum and the equations of balance of momentum flux and energy flux as well as the higher order balance laws are derived by means of the modified Klimontovich kinetic equation for non-ideal gases. The effect of the body forces and inertial forces during the persistence of a collision is taken into account in order to have the balance laws valid for general frames of reference. The sequence of macroscopic quantities appearing in the balance equations is decomposed into convective and non-convective parts and this decomposition is explained on the basis of statistical mechanics. A problem of symmetry or non-symmetry of tensors associated with the presence of interactions between microscopic particles is discussed from a molecular point of view. Explicit expressions for the energy density, the pressure, the pressure tensor, the heat flux and the other expressions characteristic for ET are given in terms of microscopic variables.

Suggested Citation

  • Banach, Zbigniew, 1984. "On the balance laws of extended thermodynamics (ET) for non-ideal gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(1), pages 95-124.
    • Handle: RePEc:eee:phsmap:v:129:y:1984:i:1:p:95-124
    DOI: 10.1016/0378-4371(84)90023-2
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    1. James S. Plaxico, 1971. "Soviet Agriculture: Discussion," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 53(2), pages 266-267.
    2. André Lebon, 1979. "L'aide au retour des travailleurs étrangers," Économie et Statistique, Programme National Persée, vol. 113(1), pages 37-46.
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