کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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1862947 | 1530613 | 2012 | 6 صفحه PDF | دانلود رایگان |
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.
► We investigate effects of molecular spatial stochasticity in non-continuum regime.
► Present a simplify spatial stochastic kinetic equation.
► Present a spatial stochastic macroscopic flow equations.
► Show effects of the new model on sound wave dispersion prediction.
► Show effects of the new approach in density profiles in a heat conduction.
Journal: Physics Letters A - Volume 376, Issues 8–9, 6 February 2012, Pages 967–972