Abstract
Language | English |
---|---|
Pages | 967-972 |
Journal | Physics Letters A |
Volume | 376 |
Issue number | 8-9 |
DOIs | |
Publication status | Published - 6 Feb 2012 |
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Keywords
- stochastic equations
- Brownian motion
- gas kinetic equation
- mass/volume diffusion
- soundwave propagation
- Non-continuum flow
- transition regime
- Boltzmann equation
- Navier-Stokes
- fluctuations
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Spatial stochasticity and non-continuum effects in gas flows. / Dadzie, Kokou; Reese, Jason.
In: Physics Letters A, Vol. 376, No. 8-9, 06.02.2012, p. 967-972.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 -