### Abstract

Language | English |
---|---|

Pages | 967-972 |

Journal | Physics Letters A |

Volume | 376 |

Issue number | 8-9 |

DOIs | |

Publication status | Published - 6 Feb 2012 |

### Fingerprint

### Keywords

- stochastic equations
- Brownian motion
- gas kinetic equation
- mass/volume diffusion
- soundwave propagation
- Non-continuum flow
- transition regime
- Boltzmann equation
- Navier-Stokes
- fluctuations

### Cite this

*Physics Letters A*,

*376*(8-9), 967-972. https://doi.org/10.1016/j.physleta.2012.01.004

}

*Physics Letters A*, vol. 376, no. 8-9, pp. 967-972. https://doi.org/10.1016/j.physleta.2012.01.004

**Spatial stochasticity and non-continuum effects in gas flows.** / Dadzie, Kokou; Reese, Jason.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Spatial stochasticity and non-continuum effects in gas flows

AU - Dadzie, Kokou

AU - Reese, Jason

PY - 2012/2/6

Y1 - 2012/2/6

N2 - 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.

AB - 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.

KW - stochastic equations

KW - Brownian motion

KW - gas kinetic equation

KW - mass/volume diffusion

KW - soundwave propagation

KW - Non-continuum flow

KW - transition regime

KW - Boltzmann equation

KW - Navier-Stokes

KW - fluctuations

UR - http://www.scopus.com/inward/record.url?scp=84857051530&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2012.01.004

DO - 10.1016/j.physleta.2012.01.004

M3 - Article

VL - 376

SP - 967

EP - 972

JO - Physics Letters A

T2 - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 8-9

ER -