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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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.
|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|
|Subjects:||Technology > Mechanical engineering and machinery|
Science > Physics
|Department:||Faculty of Engineering > Mechanical and Aerospace Engineering|
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|Depositing user:||Pure Administrator|
|Date Deposited:||09 Jul 2012 14:49|
|Last modified:||14 Jun 2013 02:13|
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