The concept of mass-density in classical thermodynamics and the Boltzmann kinetic equation for dilute gases

S. Kokou Dadzie, Jason M. Reese

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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 Rarified Gas Dynamics
Number of pages6
Volume1084
DOIs
Publication statusPublished - 20 Jul 2008
Event26th International Symposium on Rarefied Gas Dynamics - RGD26 - Kyoto, Japan
Duration: 20 Jul 200825 Jul 2008

Conference

Conference26th International Symposium on Rarefied Gas Dynamics - RGD26
Abbreviated titleRGD26
CountryJapan
CityKyoto
Period20/07/0825/07/08

Keywords

  • mass-density
  • classical thermodynamics
  • Boltzmann kinetic equation
  • dilute gases
  • kinetic theory
  • distribution function
  • statistical physics
  • compressible fluids
  • continuum mechanics

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    Dadzie, S. K., & Reese, J. M. (2008). The concept of mass-density in classical thermodynamics and the Boltzmann kinetic equation for dilute gases. In Proceedings of the 26th International Symposium on Rarified Gas Dynamics (Vol. 1084) https://doi.org/10.1063/1.3076458