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

Rainer Kwang Hua Chu, Yitshak Zohar

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)49-62
Number of pages14
JournalJournal of Non-Equilibrium Thermodynamics
Volume25
Issue number1
StatePublished - 2000
Externally publishedYes

Fingerprint

gas flow
Flow of gases
Kinetics
kinetics
Knudsen flow
flow velocity
free molecular flow
transition flow
Flow rate
Transition flow
kinetic theory
Kinetic theory
slip
velocity distribution
boundary conditions
continuums
Boundary conditions

ASJC Scopus subject areas

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

Cite this

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

In: Journal of Non-Equilibrium Thermodynamics, Vol. 25, No. 1, 2000, p. 49-62.

Research output: Contribution to journalArticle

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