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 |
| Subjects: | Technology > Mechanical engineering and machinery Science > Physics |
| Department: | Faculty of Engineering > Mechanical and Aerospace Engineering |
| Related URLs: | |
| Depositing user: | Pure Administrator |
| Date Deposited: | 09 Jul 2012 14:49 |
| Last modified: | 10 Apr 2013 17:25 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/40384 |
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