Inverse analysis of heat conduction problems with relatively long heat treatment

Sen Yung Lee, Qian Zhi Yan

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


This paper proposes a solution method for one-dimensional inverse heat conduction problems that require a relatively long time. A hybrid technique is applied to analyze laser surface heating and spray cooling on a hot surface. In the present study, the unknown temperature in half-range expansions form is assumed, and the shifting function method is used to obtain an analytic solution. The coefficients of the half-range expansions could be determined with the least-squares method in conjunction with the analytic solution and measured temperatures. Mathematical and experimental examples are given to illustrate the analyses.

Original languageEnglish
Pages (from-to)401-410
Number of pages10
JournalInternational Journal of Heat and Mass Transfer
Publication statusPublished - 2017 Feb 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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