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

[thumbnail of Reese_JM_Pure_Dissipative_mass_flux_and_sound_wave_propagation_in_monatomic_gases_Jun_2011.pdf] PDF
Reese_JM_Pure_Dissipative_mass_flux_and_sound_wave_propagation_in_monatomic_gases_Jun_2011.pdf
Preprint

Download (71kB)

    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