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 language | English |
|---|---|
| Pages (from-to) | 967-972 |
| Journal | Physics Letters A |
| Volume | 376 |
| Issue number | 8-9 |
| DOIs | |
| Publication status | Published - 6 Feb 2012 |
Keywords
- stochastic equations
- Brownian motion
- gas kinetic equation
- mass/volume diffusion
- soundwave propagation
- Non-continuum flow
- transition regime
- Boltzmann equation
- Navier-Stokes
- fluctuations