Symmetry of the linearized Boltzmann equation

DOI
  • Takata Shigeru
    Department of Mechanical Engineering and Science, Kyoto University
  • Oishi Masashi
    Department of Mechanical Engineering and Science, Kyoto University

Bibliographic Information

Other Title
  • 線形化ボルツマン方程式の対称性
  • Theory and numerical demonstration for time-dependent systems
  • 非定常系の理論と数値検証

Abstract

We recently developed a general theory on the reciprocity between thermodynamical and mechanical phenomena by using the fundamental properties of the linearized Boltzmann equation and the law of gas-surface interaction. In this talk, we report two main predictions of the theory on the time-evolution of the pressure-driven (Poiseuille flow) and temperature-driven (thermal transpiration) flows of a rarefied gas in a two-dimensional channel: 1. the (dimensionless) heat flow rate of the former is identical to the mass flow rate of the latter at any instance for the entire range of the Knudsen number. 2. if the time-relaxation problem in the same channel from a uniform flow is considered, the time accumulation of the mass and heat flow rates from the initial time are identical to the mass flow rates of the Poiseuille and thermal transpiration flows respectively. We present the numerical evidence for these statements.

Journal

Keywords

Details 詳細情報について

  • CRID
    1390001205593142656
  • NII Article ID
    130004604791
  • DOI
    10.11345/japannctam.60.0.234.0
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

Report a problem

Back to top