Dissipative mass flux and sound wave propagations in monatomic gases

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Abstract

Predicting sound wave dispersion in monatomic gases is a fundamental gas flow problem in rarefied gas dynamics. The Navier‐Stokes‐Fourier model is known to fail where local thermodynamic equilibrium breaks down. Attempts to solve this problem are therefore usually based on the Boltzmann equation. Generally, conventional gas flow models involve equations for mass‐density without a dissipative mass contribution. In this paper we observe that using a dissipative mass flux contribution as a non‐local‐equilibrium correction can improve predictions of sound wave dispersion when compared with experimental data. Two mass dissipation models are investigated: a preliminary model that simply incorporates a diffusive density term in the set of three conservation equations, and another model derived from considering microscopic fluctuations in molecular spatial distributions.
Original languageEnglish
Title of host publication27th International Symposium on Rarefied Gas Dynamics
PublisherAIP Publishing
Pages655-660
Number of pages6
ISBN (Print)9780735408890
DOIs
Publication statusPublished - 20 May 2011
Event27th International Symposium on Rarefied Gas Dynamics - Pacific Grove, CA, United States
Duration: 10 Jul 201015 Jul 2010

Publication series

NameAIP Conference Proceedings
PublisherAIP Publishing
Number1
Volume1333
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference27th International Symposium on Rarefied Gas Dynamics
Abbreviated titleRGD27
CountryUnited States
CityPacific Grove, CA
Period10/07/1015/07/10

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  • Cite this

    Dadzie, K. S. E., & Reese, J. M. (2011). Dissipative mass flux and sound wave propagations in monatomic gases. In 27th International Symposium on Rarefied Gas Dynamics (pp. 655-660). (AIP Conference Proceedings; Vol. 1333, No. 1). AIP Publishing. https://doi.org/10.1063/1.3562721