An approach to calculate transient heat flow through multilayer spherical structures

Youming Chen, Shengwei Wang, Zheng Zuo

Research output: Journal article publicationJournal articleAcademic researchpeer-review

12 Citations (Scopus)


The transmission matrix and frequency characteristics of transient heat conduction through a multilayer spherical structure are presented by applying Laplace transforms in this paper. The frequency domain regression (FDR) [S.W. Wang, Y.M. Chen, Appl. Thermal Engrg. 21 (6) (2000) 683] method is introduced to construct some simple polynomial s-transfer functions from the frequency characteristics. The polynomial s-transfer functions are further used to calculate the transient heat flow of the spherical structure including its thermal response factors and Z-conduction transfer function (CTF) coefficients. This approach is very easy and simple to implement in programming and avoids the case of missing roots in finding the roots of characteristic equation. The examples and comparisons have demonstrated that this approach has high computation accuracy.
Original languageEnglish
Pages (from-to)805-812
Number of pages8
JournalInternational Journal of Thermal Sciences
Issue number8
Publication statusPublished - 1 Aug 2003


  • CTF coefficients
  • Frequency characteristics
  • Multilayer spherical structure
  • Regression
  • Thermal response factors
  • Transient heat flow

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering


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