Numerical simulation of rarefied gas flows with specified heat flux boundary conditions

Jianping Meng, Yonghao Zhang, Jason M. Reese

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We investigate unidirectional rarefied flows confined between two infinite parallel plates with specified heat flux boundary conditions. Both Couette and force-driven Poiseuille flows are considered. The flow behaviors are analyzed numerically by solving the Shakhov model of the Boltzmann equation. We find that a zero-heat-flux wall can significantly influence the flow behavior, including the velocity slip and temperature jump at the wall, especially for high-speed flows. The predicted bimodal-like temperature profile for force-driven flows cannot even be qualitatively captured by the Navier-Stokes-Fourier equations.

Original languageEnglish
Pages (from-to)1185-1200
Number of pages16
JournalCommunications in computational physics
Issue number5
Publication statusPublished - 3 Jun 2015


  • thermal boundary condition
  • rarefied gas flow
  • S model
  • discrete velocity method
  • Boltzmann equation

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