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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.
|Title of host publication||Rarefied gas dynamics|
|Editors||D.A Levin, I.J Wysong, A.L Garcia, H Abarbanel|
|Number of pages||5|
|Publication status||Published - 28 Jun 2011|
|Name||AIP Conference Proceedings|
- sound wave propagation
- non-equilibrium gas dynamics
- mass diffusion
- gas kinetic theory
- continuum fluid mechanics
Dadzie, K., & Reese, J. (2011). Dissipative mass flux and sound wave propagations in monatomic gases. In D. A. Levin, I. J. Wysong, A. L. Garcia, & H. Abarbanel (Eds.), Rarefied gas dynamics (1st ed., Vol. 1333, pp. 655-660). (AIP Conference Proceedings; Vol. 1333). Springer.