Computer simulation of slightly rarefied gas flows driven by significant temperature variations and their continuum limit

O. A. Rogozin

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

A rigorous asymptotic analysis of the Boltzmann equation for small Knudsen numbers leads, in the general case, to more complicated sets of differential equations than widely used to describe the behavior of gas in terms of classical fluid dynamics. The present paper deals with such one that is valid for significant temperature variations and finite Reynolds numbers at the same time (slow nonisothermal flow equations). A finite-volume solver developed on the open-source CFD platform OpenFOAM(Formula presented.)(Formula presented.)is proposed for computer simulation of a slightly rarefied gas in an arbitrary geometry. Typical temperature-driven flows are considered as numerical examples. A force acting on uniformly heated bodies is studied as well.

Original languageEnglish
Pages (from-to)573-587
Number of pages15
JournalTheoretical and Computational Fluid Dynamics
Volume28
Issue number6
DOIs
Publication statusPublished - 2 Dec 2014
Externally publishedYes

Keywords

  • Boltzmann equation
  • Nonlinear thermal-stress flow
  • OpenFOAM
  • SNIT flow equations
  • Thermal creep flow

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