Dissipative mass flux and sound wave propagations in monatomic gases

Dadzie, Kokou and Reese, Jason; Levin, D.A and Wysong, I.J and Garcia, A.L and Abarbanel, H, eds. (2011) Dissipative mass flux and sound wave propagations in monatomic gases. In: Rarefied gas dynamics. AIP Conference Proceedings, 1333 (1st). Springer, pp. 655-660. ISBN 9780735408890

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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. 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 agreement between the continuum equation prediction of sound wave dispersion and 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.

ORCID iDs

Dadzie, Kokou and Reese, Jason ORCID logoORCID: https://orcid.org/0000-0001-5188-1627; Levin, D.A, Wysong, I.J, Garcia, A.L and Abarbanel, H
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