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 journalArticlepeer-review

18 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

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 'An inverse hyperbolic heat conduction problem in estimating base heat flux of two-dimensional cylindrical pin fins'. Together they form a unique fingerprint.

Cite this