Spatial stochasticity and non-continuum effects in gas flows

Kokou Dadzie, Jason Reese

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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.
Original languageEnglish
Pages (from-to)967-972
JournalPhysics Letters A
Volume376
Issue number8-9
DOIs
Publication statusPublished - 6 Feb 2012

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Keywords

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

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