Non-equilibrium thermodynamics and kinetic theory of rarefied gases

V.M. Zhdanov^a, V.I. Roldugin^b
^aMoscow State Engineering Physics Institute (State University), Kashirskoe shosse 31, Moscow, 115409, Russian Federation
^bInstitute of Physical Chemistry, Russian Academy of Sciences, Leninsky prosp. 31, Moscow, 119991, Russian Federation

The relation between the non-equilibrium thermodynamics and kinetic theory of rarefied gases is discussed. The phenomenological equations of generalized non-equilibrium thermodynamics are formulated using the fundamental relations of kinetic theory. Using the approach developed, the non-equilibrium thermodynamics of a multicomponent gas mixture are formulated for the moment method and Burnett approximation and the boundary conditions including the slip and jump effects are derived for slightly rarefied gases. An application to transport processes in discontinuous systems and gas flows over solid bodies is also made.

PACS: 05.70.Ln
DOI: 10.1070/PU1998v041n04ABEH000383
URL: https://ufn.ru/en/articles/1998/4/b/
Web of Science

000074653300002
Citation: Zhdanov V M, Roldugin V I "Non-equilibrium thermodynamics and kinetic theory of rarefied gases" Phys. Usp. 41 349–378 (1998)

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TY JOUR
TI Non-equilibrium thermodynamics and kinetic theory of rarefied gases
AU Zhdanov, V. M.
AU Roldugin, V. I.
PB Physics-Uspekhi
PY 1998
JO Physics-Uspekhi
JF Physics-Uspekhi
JA Phys. Usp.
VL 41
IS 4
SP 349-378
UR https://ufn.ru/en/articles/1998/4/b/
ER https://doi.org/10.1070/PU1998v041n04ABEH000383

Оригинал: Жданов В М, Ролдугин В И «Неравновесная термодинамика и кинетическая теория разреженных газов» УФН 168 407–438 (1998); DOI: 10.3367/UFNr.0168.199804b.0407