The Concept of Mass‐Density in Classical Thermodynamics and the Boltzmann Kinetic Equation for Dilute Gases

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Abstract

In this paper we discuss the mass-density of gas media as represented in kinetic theory. It is argued that conventional representations of this variable in gas kinetic theory contradict a macroscopic field variable and thermodynamic property in classical thermodynamics. We show that in cases where mass-density variations exist throughout the medium, introducing the mass-density as a macroscopic field variable leads to a restructuring of the diffusive/convective fluxes and implies some modifications to the hydrodynamic equations describing gas flows and heat transfer. As an illustration, we consider the prediction of mass-density profiles in a simple heat conduction problem between parallel plates maintained at different temperatures.

Original languageEnglish
Title of host publicationProceedings of the 26th International Symposium on Rarefied Gas Dynamics
PublisherAIP Publishing
Pages117-122
Number of pages6
ISBN (Print)9780735406155
Publication statusPublished - 31 Dec 2008
Event26th International Symposium on Rarefied Gas Dynamics - Kyoto, Japan
Duration: 20 Jul 200825 Jul 2008

Publication series

NameAIP Conference Proceedings
PublisherAIP Publishing
Number1
Volume1084
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference26th International Symposium on Rarefied Gas Dynamics
CountryJapan
CityKyoto
Period20/07/0825/07/08

Keywords

  • Boltzmann Equation
  • Compressible fluids
  • Continuum mechanics
  • Distribution function
  • Kinetic theory
  • Statistical Physics

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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