Numerical demonstration of the reciprocity among elemental relaxation and driven-flow problems for a rarefied gas in a channel

• Takata, Shigeru

• Oishi, Masashi

抄録

Relaxations from a uniform mass/heat flow and flows driven by an external force/temperature-gradient for a rarefied gas between two parallel plates are studied on the basis of the kinetic theory of gases. By numerical computations of the linearized Bhatnagar–Gross–Krook model of the Boltzmann equation, it is demonstrated that the reciprocity among these elemental flows derived from a general reciprocity theory for time-dependent problems [S. Takata, J. Stat. Phys. 140, 985 (2010)] holds at any time and any Knudsen numbers. Moreover, a propagation of the discontinuity of the velocity distribution function (VDF) in the relaxation problems and that of the derivative discontinuity of the VDF in the driven-flow problems are demonstrated. Their relation is also clarified.

収録刊行物

• PHYSICS OF FLUIDS

  PHYSICS OF FLUIDS 24 (1), 2012-01

  American Institute of Physics

キーワード

• Boltzmann equation
• channel flow
• heat transfer
• kinetic theory
• Knudsen flow
• mass transfer
• numerical analysis

詳細情報

• CRID: 1050845760670035200
• NII論文ID: 120004920390
• NII書誌ID: AA10986202
• ISSN: 10706631
• HANDLE: 2433/160672
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
  • IRDB
  • CiNii Articles