Spatial stochasticity and non-continuum effects in gas flows

Kokou Dadzie, Jason Reese

Research output: Contribution to journal › Article

13 Citations (Scopus)

Abstract

We investigate the relationship between spatial stochasticity and non-continuum effects in gas flows. A kinetic model for a dilute gas is developed using strictly a stochastic molecular model reasoning, without primarily referring to either the Liouville or the Boltzmann equations for dilute gases. The kinetic equation, a stochastic version of the well-known deterministic Boltzmann equation for dilute gas, is then associated with a set of macroscopic equations for the case of a monatomic gas. Tests based on a heat conduction configuration and sound wave dispersion show that spatial stochasticity can explain some non-continuum effects seen in gases.
LanguageEnglish
Pages967-972
JournalPhysics Letters A
Volume376
Issue number8-9
DOIs
Publication statusPublished - 6 Feb 2012

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Stochasticity
Gas Flow
gas flow
Flow of gases
Gases
gases
Boltzmann equation
Boltzmann Equation
macroscopic equations
wave dispersion
monatomic gases
sound waves
Kinetics
kinetic equations
conductive heat transfer
Kinetic Model
Kinetic Equation
Heat Conduction
Heat conduction
Strictly

Keywords

  • stochastic equations
  • Brownian motion
  • gas kinetic equation
  • mass/volume diffusion
  • soundwave propagation
  • Non-continuum flow
  • transition regime
  • Boltzmann equation
  • Navier-Stokes
  • fluctuations

Cite this

Dadzie, Kokou ; Reese, Jason. / Spatial stochasticity and non-continuum effects in gas flows. In: Physics Letters A. 2012 ; Vol. 376, No. 8-9. pp. 967-972.
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Dadzie, K & Reese, J 2012, 'Spatial stochasticity and non-continuum effects in gas flows' Physics Letters A, vol. 376, no. 8-9, pp. 967-972. https://doi.org/10.1016/j.physleta.2012.01.004

Spatial stochasticity and non-continuum effects in gas flows. / Dadzie, Kokou; Reese, Jason.

In: Physics Letters A, Vol. 376, No. 8-9, 06.02.2012, p. 967-972.

Research output: Contribution to journal › Article

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Dadzie K, Reese J. Spatial stochasticity and non-continuum effects in gas flows. Physics Letters A. 2012 Feb 6;376(8-9):967-972. https://doi.org/10.1016/j.physleta.2012.01.004

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