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

doi:10.1016/j.icheatmasstransfer.2014.01.020

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 journal › Article › peer-review

23 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 language	English
Pages (from-to)	90-96
Number of pages	7
Journal	International Communications in Heat and Mass Transfer
Volume	52
DOIs	https://doi.org/10.1016/j.icheatmasstransfer.2014.01.020
Publication status	Published - 2014 Mar

All Science Journal Classification (ASJC) codes

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

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10.1016/j.icheatmasstransfer.2014.01.020

Cite this

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

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.",

author = "Chen, {Wen Lih} and Chou, {Huann Ming} and Lee, {Haw Long} and Yang, {Yu Ching}",

note = "Funding Information: This work was supported by the National Science Council, Taiwan, Republic of China , under the grant numbers NSC 101-2221-E-168-029 and NSC 100-2221-E-168-020 .",

year = "2014",

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doi = "10.1016/j.icheatmasstransfer.2014.01.020",

language = "English",

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journal = "International Communications in Heat and Mass Transfer",

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T1 - An inverse hyperbolic heat conduction problem in estimating base heat flux of two-dimensional cylindrical pin fins

AU - Chen, Wen Lih

AU - Chou, Huann Ming

AU - Lee, Haw Long

AU - Yang, Yu Ching

N1 - Funding Information: This work was supported by the National Science Council, Taiwan, Republic of China , under the grant numbers NSC 101-2221-E-168-029 and NSC 100-2221-E-168-020 .

PY - 2014/3

Y1 - 2014/3

N2 - 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.

AB - 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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JO - International Communications in Heat and Mass Transfer

JF - International Communications in Heat and Mass Transfer

ER -

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

Abstract

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