The method of quasiperiodic fields for thermal conduction in periodic heterogeneous media: A theoretical analysis
作者: François Mathieu-Potvin
作者单位: 1Department of Mechanical Engineering, 1065, Avenue de la Médecine, Université Laval, Quebec City, Quebec, G1V 0A6, Canada
刊名: International Journal of Thermal Sciences, 2017, Vol.120 , pp.400-426
来源数据库: Elsevier Journal
DOI: 10.1016/j.ijthermalsci.2017.05.020
关键词: Composite materialThermal conductionHeat transferUpscaling methodThermal conductivity
英文摘要: Abstract(#br)In this paper, a new theoretical method for upscaling the thermal conduction equation in periodic composite materials is presented. That method is named “the method of quasiperiodic fields”, and it is based on the assumption that the temperature field is quasiperiodic at the small scale. More specifically, that method allows to predict the form of the averaged governing equations, and the values of the effective transport coefficients. The new methodology involves four steps: (i) a first level averaging, (ii) the statement of a quasiperiodic problem, (iii) the development of factorized quasiperiodic problems, and (iv) the development of the closed form of the averaged thermal conduction equation. The values of the effective thermal conductivity obtained with that new method...
全文获取路径: Elsevier  (合作)
影响因子:2.47 (2012)

  • quasiperiodic 准周期的
  • theoretical 理论的
  • analysis 分析
  • thermal 热的
  • heterogeneous 非均匀的
  • conduction 导电
  • media 中脉
  • method 方法