Transient heat flow calculation for multilayer constructions using a frequency-domain regression method

Shengwei Wang, Youming Chen

Research output: Journal article publicationJournal articleAcademic researchpeer-review

64 Citations (Scopus)


A frequency-domain regression method is developed for transient heat flow calculation of multilayer constructions, which estimates a simple polynomial s-transfer function of transient heat conduction in a building construction on the basis of its theoretical frequency characteristics. This simple polynomial s-transfer function is completely equivalent to the hyperbolic s-transfer function in terms of frequency characteristics. First, the frequency characteristics of the total transmission matrix are calculated within the frequency range concerned. Then, a set of linear equations is solved to yield a simple polynomial s-transfer function for internal, cross and external heat conduction, respectively. Finally, the response factors or CTFs are obtained simply by applying inverse Laplace transforms or Z-transforms on the polynomial s-transfer function. The validations and comparisons show that this method has high accuracy and efficiency and has no stability problem.
Original languageEnglish
Pages (from-to)45-61
Number of pages17
JournalBuilding and Environment
Issue number1
Publication statusPublished - 1 Jan 2003


  • Building model
  • Conduction transfer function
  • Frequency-domain regression method
  • Heat transfer model
  • Thermal response factors

ASJC Scopus subject areas

  • Environmental Engineering
  • Civil and Structural Engineering
  • Geography, Planning and Development
  • Building and Construction


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