An inverse hyperbolic heat conduction problem in estimating surface heat flux of a living skin tissue

Haw Long Lee, Tien Hsing Lai, Wen Lih Chen, Yu Ching Yang

研究成果: Article同行評審

41 引文 斯高帕斯(Scopus)

摘要

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 time-dependent surface heat flux in a living skin tissue from the temperature measurements taken within the tissue. The inverse solutions will be justified based on the numerical experiments in which three different heat flux distributions are to be determined. 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 time-dependent surface heat flux can be obtained for the test cases considered in this study.

原文English
頁(從 - 到)2630-2643
頁數14
期刊Applied Mathematical Modelling
37
發行號5
DOIs
出版狀態Published - 2013 三月 1

All Science Journal Classification (ASJC) codes

  • 建模與模擬
  • 應用數學

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