A volume-based hydrodynamic approach to sound wave propagation in a monatomic gas

S. Kokou Dadzie, Jason M. Reese

Research output: Contribution to journalArticle

Abstract

We investigate sound wave propagation in a monatomic gas using a volume-based hydrodynamic model. In reference [1], a microscopic volume-based kinetic approach was proposed by analyzing molecular spatial distributions; this led to a set of hydrodynamic equations incorporating a mass-density diffusion component. Here we find that these new mass-density diffusive flux and volume terms mean that our hydrodynamic model, uniquely, reproduces sound wave phase speed and damping measurements with excellent agreement over the full range of Knudsen number. In the high Knudsen number (high frequency) regime, our volume-based model predictions agree with the plane standing waves observed in the experiments, which existing kinetic and continuum models have great difficulty in capturing. In that regime, our results indicate that the "sound waves" presumed in the experiments may be better thought of as "mass-density waves", rather than the pressure waves of the continuum regime.
LanguageEnglish
Pages016103
Number of pages11
JournalPhysics of Fluids
Volume22
DOIs
Publication statusPublished - 15 Jan 2010

Fingerprint

monatomic gases
sound waves
Wave propagation
wave propagation
Hydrodynamics
Gases
hydrodynamics
Acoustic waves
Knudsen flow
continuums
Kinetics
hydrodynamic equations
kinetics
standing waves
elastic waves
Spatial distribution
spatial distribution
flux density
Damping
damping

Keywords

  • sound wave propagation
  • non-equilibrium gas dynamics
  • gas kinetic theory
  • continuum fluid mechanics
  • compressible fluids
  • and flows

Cite this

Dadzie, S. Kokou ; Reese, Jason M. / A volume-based hydrodynamic approach to sound wave propagation in a monatomic gas. In: Physics of Fluids. 2010 ; Vol. 22. pp. 016103.
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A volume-based hydrodynamic approach to sound wave propagation in a monatomic gas. / Dadzie, S. Kokou; Reese, Jason M.

In: Physics of Fluids, Vol. 22, 15.01.2010, p. 016103.

Research output: Contribution to journalArticle

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