Inverse estimation of the unknown base heat flux in irregular fins made of functionally graded materials

Wen Lih Chen, Huann Ming Chou, Yu Ching Yang

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle has been successfully applied to an irregular fin made of functionally graded materials to estimate the unknown base heat flux distributions by using temperatures at some measurement locations. The inverse results, in which three different base heat flux distributions are to be determined, have proven current method's capability to accurately estimate arbitrary fin-base heat flux distributions even measurement errors have been taken into account. The temperature data calculated from the direct problem are used to simulate the measured temperature. The influence of measurement errors upon the precision of the estimated results is also investigated. This method does not need any prior information on the unknown quantity, and results show that excellent estimations can be obtained for the test cases considered in this study.

Original languageEnglish
Pages (from-to)157-163
Number of pages7
JournalInternational Communications in Heat and Mass Transfer
Volume87
DOIs
Publication statusPublished - 2017 Oct

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Chemical Engineering(all)
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Inverse estimation of the unknown base heat flux in irregular fins made of functionally graded materials'. Together they form a unique fingerprint.

Cite this