### Abstract

Discrete kinetic theory approach has been used to study dilute, monatomic, non-equilibrium gas flow between two walls in microdomains. A four-velocity coplanar model has been adopted, where the microscopic velocity-orientation angle and the Knudsen number are free parameters, which have to be prescribed. Diffusive reflection boundary condition has been incorporated to obtain the solution. A bounded range for the admissible orientation angle of the discrete velocity vectors for any given Knudsen number is identified. Consequently, the macroscopic velocity slip at the wall, the velocity profile across the walls and the volume flow rate is calculated as a function of the free parameters. The calculations based on a single model, 4-velocity, cover the transition flow regime between the continuum and the free-molecular flow. The calculated volume flow rate is compared with experimental data as well as with other theoretical models.

Original language | English (US) |
---|---|

Pages (from-to) | 49-62 |

Number of pages | 14 |

Journal | Journal of Non-Equilibrium Thermodynamics |

Volume | 25 |

Issue number | 1 |

State | Published - 2000 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes
- Physical and Theoretical Chemistry
- Computational Mechanics
- Mechanics of Materials
- Physics and Astronomy(all)

### Cite this

*Journal of Non-Equilibrium Thermodynamics*,

*25*(1), 49-62.

**Class of discrete kinetic solutions for non-boundary-driven gas flow.** / Chu, Rainer Kwang Hua; Zohar, Yitshak.

Research output: Contribution to journal › Article

*Journal of Non-Equilibrium Thermodynamics*, vol. 25, no. 1, pp. 49-62.

}

TY - JOUR

T1 - Class of discrete kinetic solutions for non-boundary-driven gas flow

AU - Chu, Rainer Kwang Hua

AU - Zohar, Yitshak

PY - 2000

Y1 - 2000

N2 - Discrete kinetic theory approach has been used to study dilute, monatomic, non-equilibrium gas flow between two walls in microdomains. A four-velocity coplanar model has been adopted, where the microscopic velocity-orientation angle and the Knudsen number are free parameters, which have to be prescribed. Diffusive reflection boundary condition has been incorporated to obtain the solution. A bounded range for the admissible orientation angle of the discrete velocity vectors for any given Knudsen number is identified. Consequently, the macroscopic velocity slip at the wall, the velocity profile across the walls and the volume flow rate is calculated as a function of the free parameters. The calculations based on a single model, 4-velocity, cover the transition flow regime between the continuum and the free-molecular flow. The calculated volume flow rate is compared with experimental data as well as with other theoretical models.

AB - Discrete kinetic theory approach has been used to study dilute, monatomic, non-equilibrium gas flow between two walls in microdomains. A four-velocity coplanar model has been adopted, where the microscopic velocity-orientation angle and the Knudsen number are free parameters, which have to be prescribed. Diffusive reflection boundary condition has been incorporated to obtain the solution. A bounded range for the admissible orientation angle of the discrete velocity vectors for any given Knudsen number is identified. Consequently, the macroscopic velocity slip at the wall, the velocity profile across the walls and the volume flow rate is calculated as a function of the free parameters. The calculations based on a single model, 4-velocity, cover the transition flow regime between the continuum and the free-molecular flow. The calculated volume flow rate is compared with experimental data as well as with other theoretical models.

UR - http://www.scopus.com/inward/record.url?scp=0033706784&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033706784&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033706784

VL - 25

SP - 49

EP - 62

JO - Journal of Non-Equilibrium Thermodynamics

JF - Journal of Non-Equilibrium Thermodynamics

SN - 0340-0204

IS - 1

ER -