Modelling thermally induced non-equilibrium gas flows by coupling kinetic and extended thermodynamic methods

Weiqi Yang, Xiao-Jun Gu, David R. Emerson, Yonghao Zhang, Shuo Tang

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Abstract

Thermally induced non-equilibrium gas flows have been simulated in the present study by coupling kinetic and extended thermodynamic methods. Three dierent types of thermally induced gas flows, including temperature-discontinuity- and temperature-gradient-induced flows and radiometric flow, have been explored in the transition regime. The temperature-discontinuity-induced flow case has shown that as the Knudsen number increases, the regularised 26 (R26) moment equation system will gradually loss its accuracy and validation. A coupling macro- and microscopic approach is employed to overcome these problems. The R26 moment equations are used at the macroscopic level for the bulk flow region, while the kinetic equation associated with the discrete velocity method (DVM) is applied to describe the gas close to the wall at the microscopic level, which yields a hybrid DVM/R26 approach. The numerical results have shown that the hybrid DVM/R26 method can be faithfully used for the thermally induced non-equilibrium flows. The proposed scheme not only improves the accuracy of the results in comparison with the R26 equations, but also extends their capability with a wider range of Knudsen numbers. In addition, the hybrid scheme is able to reduce the computational memory and time cost compared to the DVM.
Original languageEnglish
Article number816
Number of pages19
JournalEntropy
Volume21
Issue number8
DOIs
Publication statusPublished - 20 Aug 2019

Keywords

  • discrete velocity method
  • moment method
  • thermally induces flow
  • non-equilibrium flow
  • transition regime

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