Dissipative mass flux and sound wave propagations in monatomic gases

Kokou Dadzie, Jason Reese

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

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.
LanguageEnglish
Title of host publicationRarefied gas dynamics
EditorsD.A Levin, I.J Wysong, A.L Garcia, H Abarbanel
PublisherSpringer
Pages655-660
Number of pages5
Volume1333
Edition1st
ISBN (Print)9780735408890
Publication statusPublished - 28 Jun 2011

Publication series

NameAIP Conference Proceedings
PublisherSpringer
Volume1333
ISSN (Print)0094-243X

Fingerprint

monatomic gases
sound waves
wave propagation
wave dispersion
gas flow
rarefied gas dynamics
conservation equations
local thermodynamic equilibrium
spatial distribution
dissipation
breakdown
continuums
predictions

Keywords

  • sound wave propagation
  • non-equilibrium gas dynamics
  • mass diffusion
  • gas kinetic theory
  • continuum fluid mechanics

Cite this

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.
Dadzie, Kokou ; Reese, Jason. / Dissipative mass flux and sound wave propagations in monatomic gases. Rarefied gas dynamics. editor / D.A Levin ; I.J Wysong ; A.L Garcia ; H Abarbanel. Vol. 1333 1st . ed. Springer, 2011. pp. 655-660 (AIP Conference Proceedings).
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Dadzie, K & Reese, J 2011, Dissipative mass flux and sound wave propagations in monatomic gases. in DA Levin, IJ Wysong, AL Garcia & H Abarbanel (eds), Rarefied gas dynamics. 1st edn, vol. 1333, AIP Conference Proceedings, vol. 1333, Springer, pp. 655-660.

Dissipative mass flux and sound wave propagations in monatomic gases. / Dadzie, Kokou; Reese, Jason.

Rarefied gas dynamics. ed. / D.A Levin; I.J Wysong; A.L Garcia; H Abarbanel. Vol. 1333 1st . ed. Springer, 2011. p. 655-660 (AIP Conference Proceedings; Vol. 1333).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Y1 - 2011/6/28

N2 - 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.

AB - 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.

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KW - non-equilibrium gas dynamics

KW - mass diffusion

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Dadzie K, Reese J. Dissipative mass flux and sound wave propagations in monatomic gases. In Levin DA, Wysong IJ, Garcia AL, Abarbanel H, editors, Rarefied gas dynamics. 1st ed. Vol. 1333. Springer. 2011. p. 655-660. (AIP Conference Proceedings).