TY - JOUR
T1 - Inverse estimation of the unknown base heat flux in irregular fins made of functionally graded materials
AU - Chen, Wen Lih
AU - Chou, Huann Ming
AU - Yang, Yu Ching
N1 - Funding Information:
This work was supported by the Ministry of Science and Technology, Taiwan, Republic of China, under the grant number MOST 105-2221-E-168-011.
Publisher Copyright:
© 2017 Elsevier Ltd
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2017/10
Y1 - 2017/10
N2 - 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.
AB - 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.
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U2 - 10.1016/j.icheatmasstransfer.2017.07.003
DO - 10.1016/j.icheatmasstransfer.2017.07.003
M3 - Article
AN - SCOPUS:85027413238
SN - 0735-1933
VL - 87
SP - 157
EP - 163
JO - International Communications in Heat and Mass Transfer
JF - International Communications in Heat and Mass Transfer
ER -