Abstract
In multicomponent media, the equilibrium states are defined by thermodynamic equilibrium conditions in the form of the equalities between the pressures and temperatures of the components, the maximum entropy principle (or the free-energy minimum) for the mixture, and the equality of the velocities of the components. The conservation laws for the components allow for their interaction with each other in the form of forces and energy fluxes containing the differences of the velocities, pressures, and temperatures of the components. The form of momentum and energy exchange between each component and the continuum expressing the collective properties of the ensemble of components, is also considered. It is shown that these momentum and energy fluxes are different from zero only for the states of multicomponent media with velocity nonequilibrium.
Similar content being viewed by others
REFERENCES
Kh. A. Rakhmatulin (1956) ArticleTitleFoundations of the gas dynamics of mutually penetrating motions of compressible media Prikl. Mat. Mekh. 20 IssueID2 184–195
A. N. Kraiko R. I. Nigmatulin V. K. Starkov L. E. Sternin (1973) ArticleTitleMechanics of multiphase media Itogi Nauki Tekh., Gidromekhanika 6 93–174
S. S. Kutateladze M. A. Styrikovich (1958) Hydraulics of Gas-Liquid Systems Gosénergoizdat Moscow
R. I. Nigmatulin (1978) Foundations of the Mechanics of Heterogeneous Media Nauka Moscow
R. I. Nigmatulin, Dynamics of Multiphase Media, Parts 1 and 2, Hemisphere, New York (1991).
V. F. Kuropatenko (1989) ArticleTitleUnsteady ows of multicomponent media Mat. Model. 1 IssueID2 118–136
N. N. Yanenko R. I. Soloukhin A. N. Papyrin V. M. Fomin (1980) Supersonic Two-Phase Flows Under Conditions of Particle Velocity Nonequilibrium Nauka Novosibirsk
V. F. Kuropatenko, “Equations of state in mathematical models of mechanics and physics,” in: Extreme States of Matter (collected scientific papers) [in Russian], Inst. Comput. Technol., USSR Acad. of Sci. (1991), pp. 3–38.
S. R. De Groot (1952) Thermodynamics of Irreversible Processes North Holland Publishing Company Amsterdam
J. O. Hirschfelder C. F. Curtis R. B. Bird (1954) Molecular Theory of Gases and Liquids Wiley New York
H. S. Tsien (1965) Physical Mechanics Mir Moscow
Ya. I. Frenkel, Statistical Physics [in Russian] Izd. Akad. Nauk SSSR, Moscow—Leningrad (1948).
F. Daniels R. A. Alberty (1963) Physical Chemistry Wiley New York
Author information
Authors and Affiliations
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 1, pp. 7–15, January–February, 2005.
Rights and permissions
About this article
Cite this article
Kuropatenko, V.F. Momentum and energy exchange in nonequilibrium multicomponent media. J Appl Mech Tech Phys 46, 1–8 (2005). https://doi.org/10.1007/s10808-005-0021-9
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10808-005-0021-9