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Spatial stochasticity and non-continuum effects in gas flows

Dadzie, Kokou and Reese, Jason (2012) Spatial stochasticity and non-continuum effects in gas flows. Physics Letters A, 376 (8-9). pp. 967-972. ISSN 0375-9601

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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.

    Item type: Article
    ID code: 40384
    Keywords: stochastic equations, Brownian motion, gas kinetic equation, mass/volume diffusion, soundwave propagation, Non-continuum flow , transition regime, Boltzmann equation, Navier-Stokes, fluctuations, Mechanical engineering and machinery, Physics, Mechanical Engineering, Computational Mechanics, Modelling and Simulation
    Subjects: Technology > Mechanical engineering and machinery
    Science > Physics
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Technology and Innovation Centre > Advanced Engineering and Manufacturing
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    Depositing user: Pure Administrator
    Date Deposited: 09 Jul 2012 14:49
    Last modified: 27 Mar 2014 22:06
    URI: http://strathprints.strath.ac.uk/id/eprint/40384

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