@inbook{8113052c6db148c68aeac04ec8b2c639,

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

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.",

keywords = "Boltzmann Equation, Compressible fluids, Continuum mechanics, Distribution function, Kinetic theory, Statistical Physics",

author = "Dadzie, {Kokou Sename Enyonam} and Reese, {Jason M.}",

year = "2008",

month = dec,

day = "31",

language = "English",

isbn = "9780735406155",

series = "AIP Conference Proceedings",

publisher = "AIP Publishing",

number = "1",

pages = "117--122",

booktitle = "Proceedings of the 26th International Symposium on Rarefied Gas Dynamics",

address = "United States",

note = "26th International Symposium on Rarefied Gas Dynamics ; Conference date: 20-07-2008 Through 25-07-2008",

}