Estimation for inner surface geometry of a two-layer-wall furnace with inner wall made of functionally graded materials

Wen-Lih Chen, Yu Ching Yang, Haw Long Lee, Win Jin Chang

Research output: Contribution to journalArticle

Abstract

In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to solve the inverse heat conduction problem in estimating the unknown inner wall surface geometry of a two-layer-wall furnace whose inner wall is made of functionally graded materials (FGMs). The unknown geometry is estimated from the temperature measurements taken within the furnace wall. The inverse solutions will be justified based on the numerical experiments in which two different geometry of inner surface are to be determined. The temperature data obtained from the direct problem are used to simulate the temperature measurements. The influence of measurement errors and measurement locations on the precision of the estimated results is also investigated. Results show that the unknown geometry of the inner wall surface can be predicted precisely by using the present approach for the test cases considered in this study.

Original languageEnglish
Pages (from-to)143-150
Number of pages8
JournalInternational Communications in Heat and Mass Transfer
Volume97
DOIs
Publication statusPublished - 2018 Oct 1

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surface geometry
Functionally graded materials
furnaces
Furnaces
Geometry
Temperature measurement
temperature measurement
geometry
Conjugate gradient method
Measurement errors
conjugate gradient method
Heat conduction
conductive heat transfer
estimating
Experiments
Temperature

All Science Journal Classification (ASJC) codes

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

Cite this

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abstract = "In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to solve the inverse heat conduction problem in estimating the unknown inner wall surface geometry of a two-layer-wall furnace whose inner wall is made of functionally graded materials (FGMs). The unknown geometry is estimated from the temperature measurements taken within the furnace wall. The inverse solutions will be justified based on the numerical experiments in which two different geometry of inner surface are to be determined. The temperature data obtained from the direct problem are used to simulate the temperature measurements. The influence of measurement errors and measurement locations on the precision of the estimated results is also investigated. Results show that the unknown geometry of the inner wall surface can be predicted precisely by using the present approach for the test cases considered in this study.",
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Estimation for inner surface geometry of a two-layer-wall furnace with inner wall made of functionally graded materials. / Chen, Wen-Lih; Yang, Yu Ching; Lee, Haw Long; Chang, Win Jin.

In: International Communications in Heat and Mass Transfer, Vol. 97, 01.10.2018, p. 143-150.

Research output: Contribution to journalArticle

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