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KIAM Preprint  24, Moscow, 2019
Authors: Kolesnichenko A. V.
Taking into account the correct determination of internal energy when construction models of non-ideal liquid mixtures by methods of non-equilibrium thermodynamics
Taking into account of the methods of thermodynamics of irreversible processes using the Onsager principle, a model of a multicomponent medium is constructed, the internal energy of which is free from the kinetic energy of diffusion. The model was developed for non-ideal continuous medium with chemical reactions in the field of conservative external forces. Thermodynamic generalized StefanMaxwell relations are derived, which are a system of hydrodynamic equations of a mixture with genuine inertia forces. The proposed phenomenological methodology allowed us to obtain a number of algebraic relations for the transfer coefficients, relating, in particular, thermal diffusion relations with thermal diffusion coefficients and multicomponent diffusion, true and partial heat transfer coefficients, multicomponent and binary diffusion coefficients, which testifies to their universal nature. The results obtained are intended to simulate not only liquid non-ideal solutions, but also gas-dust mixtures with a fine-dispersed component of dust.
nonequilibrium thermodynamics, StefanMaxwell relation, non-ideal multicomponent mixtures, kinetic energy of diffusion
Publication language: russian,  pages: 36
Research direction:
Mathematical modelling in actual problems of science and technics
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About authors:
  • Kolesnichenko Aleksandr Vladimirovich, RAS