An inverse hyperbolic heat conduction problem in estimating base heat flux of two-dimensional cylindrical pin fins

Wen-Lih Chen, Huann Ming Chou, Haw Long Lee, Yu Ching Yang

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to solve the inverse hyperbolic heat conduction problem in estimating the unknown space- and time-dependent base heat flux of a cylindrical pin fin from the knowledge of temperature measurements taken within the medium. The inverse solutions have been justified based on the numerical experiments in which three specific cases to determine the unknown base heat flux are examined. The temperature data obtained from the direct problem are used to simulate the temperature measurements. The influence of measurement errors upon the precision of the estimated results is also investigated. Results show that an excellent estimation on the space- and time-dependent base heat flux can be obtained for the test cases considered in this study.

Original languageEnglish
Pages (from-to)90-96
Number of pages7
JournalInternational Communications in Heat and Mass Transfer
Volume52
DOIs
Publication statusPublished - 2014 Mar 1

Fingerprint

fins
Heat conduction
conductive heat transfer
Heat flux
heat flux
estimating
Temperature measurement
temperature measurement
conjugate gradient method
Conjugate gradient method
Measurement errors
Experiments
Temperature
temperature

All Science Journal Classification (ASJC) codes

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

Cite this

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abstract = "In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to solve the inverse hyperbolic heat conduction problem in estimating the unknown space- and time-dependent base heat flux of a cylindrical pin fin from the knowledge of temperature measurements taken within the medium. The inverse solutions have been justified based on the numerical experiments in which three specific cases to determine the unknown base heat flux are examined. The temperature data obtained from the direct problem are used to simulate the temperature measurements. The influence of measurement errors upon the precision of the estimated results is also investigated. Results show that an excellent estimation on the space- and time-dependent base heat flux can be obtained for the test cases considered in this study.",
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An inverse hyperbolic heat conduction problem in estimating base heat flux of two-dimensional cylindrical pin fins. / Chen, Wen-Lih; Chou, Huann Ming; Lee, Haw Long; Yang, Yu Ching.

In: International Communications in Heat and Mass Transfer, Vol. 52, 01.03.2014, p. 90-96.

Research output: Contribution to journalArticle

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