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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.
|Title of host publication||Proceedings of the 26th International Symposium on Rarified Gas Dynamics|
|Number of pages||6|
|Publication status||Published - 20 Jul 2008|
|Event||26th International Symposium on Rarefied Gas Dynamics - RGD26 - Kyoto, Japan|
Duration: 20 Jul 2008 → 25 Jul 2008
|Conference||26th International Symposium on Rarefied Gas Dynamics - RGD26|
|Period||20/07/08 → 25/07/08|
- classical thermodynamics
- Boltzmann kinetic equation
- dilute gases
- kinetic theory
- distribution function
- statistical physics
- compressible fluids
- continuum mechanics
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- 1 Finished
Reese, J. & McInnes, C.
1/10/05 → 31/01/10