### Abstract

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

Article number | 082002 |

Number of pages | 14 |

Journal | Physics of Fluids |

Volume | 27 |

Issue number | 8 |

Early online date | 27 Aug 2015 |

DOIs | |

Publication status | Published - 31 Aug 2015 |

### Fingerprint

### Keywords

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

### Cite this

*Physics of Fluids*,

*27*(8), [082002]. https://doi.org/10.1063/1.4929485

}

*Physics of Fluids*, vol. 27, no. 8, 082002. https://doi.org/10.1063/1.4929485

**Influence of intermolecular potentials on rarefied gas flows : fast spectral solutions of the Boltzmann equation.** / Wu, Lei; Liu, Haihu; Zhang, Yonghao; Reese, Jason M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Influence of intermolecular potentials on rarefied gas flows

T2 - Physics of Fluids

AU - Wu, Lei

AU - Liu, Haihu

AU - Zhang, Yonghao

AU - Reese, Jason M.

PY - 2015/8/31

Y1 - 2015/8/31

N2 - 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.

AB - 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.

KW - intermolecular interactions

KW - fast spectral method

KW - rarefied gas flows

KW - discrete velocity method

KW - Fourier analysis

KW - Couette flow

U2 - 10.1063/1.4929485

DO - 10.1063/1.4929485

M3 - Article

VL - 27

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 8

M1 - 082002

ER -