Irreversible thermodynamics of rarefied gases

Ivan Kuščer

Physica A: Statistical Mechanics and its Applications, 1985, vol. 133, issue 3, 397-412

Abstract: For transport phenomena in gases the Onsager scheme can be extended so as to include the quantities occurring in a complete set of linearized Burnett equations. To show this, the linearized Boltzmann equation is solved in the Chapman-Enskog manner, allowing for ∇∇T and ∇∇ν terms among the thermodynamic forces. Microscopic and macroscopic Burnett fluxes are introduced, and the phenomenological equations and formal expressions for the transport coefficients derived. The matrix of these coefficients is symmetric in the Onsager way, in agreement with an expression one can derive for the entropy density source. The scheme simplifies for the bulk part of plane flows between parallel plates, with their separation assumed to be greater than a few mean free paths. Boundary layers must be treated separately. The corresponding expression for the entropy source suggests another set of phenomenological equations, involving slip coefficients. The symmetry relations among the coefficients that were earlier obtained indirectly are thereby explained in Onsager's sense.

Date: 1985
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437185901396
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:133:y:1985:i:3:p:397-412

DOI: 10.1016/0378-4371(85)90139-6

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().