Influence of intermolecular potentials on rarefied gas flows: fast spectral solutions of the Boltzmann equation

Lei Wu, Haihu Liu, Yonghao Zhang, Jason M. Reese

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The Boltzmann equation with an arbitrary intermolecular potential is solved by the fast spectral method. As examples, noble gases described by the Lennard-Jones potential are considered. The accuracy of the method is assessed by comparing both transport coefficients with variational solutions and mass/heat flow rates in Poiseuille/thermal transpiration flows with results from the discrete velocity method. The fast spectral method is then applied to Fourier and Couette flows between two parallel plates, and the influence of the intermolecular potential on various flow properties is investigated. It is found that for gas flows with the same rarefaction parameter, differences in the heat flux in Fourier flow and the shear stress in Couette flow are small. However, differences in other quantities such as density, temperature, and velocity can be very large.
LanguageEnglish
Article number082002
Number of pages14
JournalPhysics of Fluids
Volume27
Issue number8
Early online date27 Aug 2015
DOIs
Publication statusPublished - 31 Aug 2015

Fingerprint

rarefied gases
Boltzmann equation
gas flow
Flow of gases
Lennard-Jones potential
Transpiration
Couette flow
spectral methods
Inert gases
Heat flux
Shear stress
Flow rate
Heat transfer
transpiration
rarefaction
parallel plates
heat transmission
shear stress
heat flux
rare gases

Keywords

  • intermolecular interactions
  • fast spectral method
  • rarefied gas flows
  • discrete velocity method
  • Fourier analysis
  • Couette flow

Cite this

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abstract = "The Boltzmann equation with an arbitrary intermolecular potential is solved by the fast spectral method. As examples, noble gases described by the Lennard-Jones potential are considered. The accuracy of the method is assessed by comparing both transport coefficients with variational solutions and mass/heat flow rates in Poiseuille/thermal transpiration flows with results from the discrete velocity method. The fast spectral method is then applied to Fourier and Couette flows between two parallel plates, and the influence of the intermolecular potential on various flow properties is investigated. It is found that for gas flows with the same rarefaction parameter, differences in the heat flux in Fourier flow and the shear stress in Couette flow are small. However, differences in other quantities such as density, temperature, and velocity can be very large.",
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Influence of intermolecular potentials on rarefied gas flows : fast spectral solutions of the Boltzmann equation. / Wu, Lei; Liu, Haihu; Zhang, Yonghao; Reese, Jason M.

In: Physics of Fluids, Vol. 27, No. 8, 082002, 31.08.2015.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Influence of intermolecular potentials on rarefied gas flows

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AU - Wu, Lei

AU - Liu, Haihu

AU - Zhang, Yonghao

AU - Reese, Jason M.

PY - 2015/8/31

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KW - fast spectral method

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