Behaviour of microscale gas flows based on a power-law free path distribution function

Nishanth Dongari; Yonghao Zhang; Jason Reese

doi:10.1063/1.3562732

Behaviour of microscale gas flows based on a power-law free path distribution function

Nishanth Dongari, Yonghao Zhang, Jason Reese

Mechanical And Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter

5 Citations (Scopus)

95 Downloads (Pure)

Abstract

We investigate a power-law form for the probability distribution function of free paths of dilute gas molecules in a confined region. A geometry-dependent effective molecular mean free path (MFP) model is then derived for a planar wall
confinement, by taking into account the boundary limiting effects on the molecular paths. The power-law based effective MFP is validated against molecular dynamics simulation data and compared with exponential effective MFP models. The Navier-Stokes constitutive relations are then modified according to the kinetic theory of gases i.e. transport properties can be described in terms of the free paths which the molecules describe between collisions. Results for isothermal pressure-driven Poiseuille gas flows in micro-channels are reported, and we compare results with conventional hydrodynamic models, solutions of the Boltzmann equation and experimental data.

Original language	English
Title of host publication	Rarefied Gas Dynamics
Editors	D.A Levin, I.J Wysong, A.L Garcia, H Abarbanel
Publisher	Springer
Pages	724-729
Number of pages	6
Volume	1333
Edition	1st
ISBN (Print)	978-0-7354-0889-0
DOIs	https://doi.org/10.1063/1.3562732
Publication status	Published - 28 Jun 2011
Event	27th International Symposium on Rarefied Gas Dynamics - Pacific Grove, Claifornia, United States Duration: 10 Jul 2010 → 15 Jul 2010

Publication series

Name	AIP Conference Proceedings
Publisher	Springer
Volume	1333
ISSN (Print)	0094-243X

Conference

Conference	27th International Symposium on Rarefied Gas Dynamics
Country/Territory	United States
City	Pacific Grove, Claifornia,
Period	10/07/10 → 15/07/10

Keywords

microscale gas flows
Knudsen layer
molecular mean free path
slip ﬂows

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10.1063/1.3562732

Zhang YH Reese JM Pure Behaviour of microscale gas flows based on a power law free path distribution function May 2011Submitted manuscript, 588 KB

Cite this

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title = "Behaviour of microscale gas flows based on a power-law free path distribution function",

abstract = "We investigate a power-law form for the probability distribution function of free paths of dilute gas molecules in a confined region. A geometry-dependent effective molecular mean free path (MFP) model is then derived for a planar wallconfinement, by taking into account the boundary limiting effects on the molecular paths. The power-law based effective MFP is validated against molecular dynamics simulation data and compared with exponential effective MFP models. The Navier-Stokes constitutive relations are then modified according to the kinetic theory of gases i.e. transport properties can be described in terms of the free paths which the molecules describe between collisions. Results for isothermal pressure-driven Poiseuille gas flows in micro-channels are reported, and we compare results with conventional hydrodynamic models, solutions of the Boltzmann equation and experimental data.",

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Dongari, N, Zhang, Y & Reese, J 2011, Behaviour of microscale gas flows based on a power-law free path distribution function. in DA Levin, IJ Wysong, AL Garcia & H Abarbanel (eds), Rarefied Gas Dynamics. 1st edn, vol. 1333, AIP Conference Proceedings, vol. 1333, Springer, pp. 724-729, 27th International Symposium on Rarefied Gas Dynamics, Pacific Grove, Claifornia, United States, 10/07/10. https://doi.org/10.1063/1.3562732

Behaviour of microscale gas flows based on a power-law free path distribution function. / Dongari, Nishanth; Zhang, Yonghao; Reese, Jason.
Rarefied Gas Dynamics. ed. / D.A Levin; I.J Wysong; A.L Garcia; H Abarbanel. Vol. 1333 1st . ed. Springer, 2011. p. 724-729 (AIP Conference Proceedings; Vol. 1333).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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AU - Zhang, Yonghao

AU - Reese, Jason

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N2 - We investigate a power-law form for the probability distribution function of free paths of dilute gas molecules in a confined region. A geometry-dependent effective molecular mean free path (MFP) model is then derived for a planar wallconfinement, by taking into account the boundary limiting effects on the molecular paths. The power-law based effective MFP is validated against molecular dynamics simulation data and compared with exponential effective MFP models. The Navier-Stokes constitutive relations are then modified according to the kinetic theory of gases i.e. transport properties can be described in terms of the free paths which the molecules describe between collisions. Results for isothermal pressure-driven Poiseuille gas flows in micro-channels are reported, and we compare results with conventional hydrodynamic models, solutions of the Boltzmann equation and experimental data.

AB - We investigate a power-law form for the probability distribution function of free paths of dilute gas molecules in a confined region. A geometry-dependent effective molecular mean free path (MFP) model is then derived for a planar wallconfinement, by taking into account the boundary limiting effects on the molecular paths. The power-law based effective MFP is validated against molecular dynamics simulation data and compared with exponential effective MFP models. The Navier-Stokes constitutive relations are then modified according to the kinetic theory of gases i.e. transport properties can be described in terms of the free paths which the molecules describe between collisions. Results for isothermal pressure-driven Poiseuille gas flows in micro-channels are reported, and we compare results with conventional hydrodynamic models, solutions of the Boltzmann equation and experimental data.

KW - microscale gas flows

KW - Knudsen layer

KW - molecular mean free path

KW - slip ﬂows

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A2 - Wysong, I.J

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PB - Springer

T2 - 27th International Symposium on Rarefied Gas Dynamics

Y2 - 10 July 2010 through 15 July 2010

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Behaviour of microscale gas flows based on a power-law free path distribution function

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Behaviour of microscale gas flows based on a power-law free path distribution function

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Keywords

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