### Abstract

Original language | English |
---|---|

Pages (from-to) | 1-22 |

Number of pages | 22 |

Journal | Journal of Fluid Mechanics |

Publication status | Accepted/In press - 17 Oct 2019 |

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### Keywords

- gas kinetic theory
- Enskog equation
- Boltzmann equation
- rarefied gas dynamics

### Cite this

*Journal of Fluid Mechanics*, 1-22.

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*Journal of Fluid Mechanics*, pp. 1-22.

**The kinetic Shakhov-Enskog model for non-equilibrium flow of dense gases.** / Wang, Peng; Wu, Lei; Ho, Minh-Tuan; Li, Jun ; Li, Zhui-Hui; Zhang, Yonghao.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The kinetic Shakhov-Enskog model for non-equilibrium flow of dense gases

AU - Wang, Peng

AU - Wu, Lei

AU - Ho, Minh-Tuan

AU - Li, Jun

AU - Li, Zhui-Hui

AU - Zhang, Yonghao

PY - 2019/10/17

Y1 - 2019/10/17

N2 - When the average intermolecular distance is comparable to the size of gas molecules, the Boltzmann equation, based on the dilute gas assumption, becomes invalid. The Enskog equation was developed to account for this finite size effect that makes the collision non-local and increases the collision frequency. However, it is time-consuming to solve the Enskog equation due to its complicated structure of collision operator and high dimensionality. In this work, on the basis of the Shakhov model, a gas kinetic model is proposed to simplify the Enskog equation for non-ideal monatomic dense gases. The accuracy of the proposed Shakhov-Enskog model is assessed by comparing its solutions of the normal shock wave structures with the results of the Enskog equation obtained by the fast spectral method. It is shown that the Shakhov-Enskog model is able to describe non-equilibrium flow of dense gases, when the maximum local mean free path of gas molecules is still greater than the size of molecular diameter. The accuracy and efficiency of the present model enable simulations of non-equilibrium flow of dense gases for practical applications.

AB - When the average intermolecular distance is comparable to the size of gas molecules, the Boltzmann equation, based on the dilute gas assumption, becomes invalid. The Enskog equation was developed to account for this finite size effect that makes the collision non-local and increases the collision frequency. However, it is time-consuming to solve the Enskog equation due to its complicated structure of collision operator and high dimensionality. In this work, on the basis of the Shakhov model, a gas kinetic model is proposed to simplify the Enskog equation for non-ideal monatomic dense gases. The accuracy of the proposed Shakhov-Enskog model is assessed by comparing its solutions of the normal shock wave structures with the results of the Enskog equation obtained by the fast spectral method. It is shown that the Shakhov-Enskog model is able to describe non-equilibrium flow of dense gases, when the maximum local mean free path of gas molecules is still greater than the size of molecular diameter. The accuracy and efficiency of the present model enable simulations of non-equilibrium flow of dense gases for practical applications.

KW - gas kinetic theory

KW - Enskog equation

KW - Boltzmann equation

KW - rarefied gas dynamics

UR - https://www.cambridge.org/core/journals/journal-of-fluid-mechanics

M3 - Article

SP - 1

EP - 22

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -