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

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• 作者：Wen-Lih Chen ; Huann-Ming Chou ; Haw-Long Lee ; Yu-Ching Yang ; ^{ycyang@mail.ksu.edu.tw" class="auth_mail}
• 关键词：Inverse problem ; Hyperbolic heat conduction ; Pin fin ; Conjugate gradient method
• 刊名：International Communications in Heat and Mass Transfer
• 出版年：March, 2014
• 年：2014
• 卷：52
• 期：Complete
• 页码：90-96
• 全文大小：473 K

文摘

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.