Estimation of surface absorptivity in laser surface heating process with experimental data

Han-Taw Chen, Xin Yi Wu

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

This study applies a hybrid technique of the Laplace transform and finite-difference methods in conjunction with the least-squares method and experimental temperature data inside the test material to predict the unknown surface temperature, heat flux and absorptivity for various surface conditions in the laser surface heating process. In this study, the functional form of the surface temperature is unknown a priori and is assumed to be a function of time before performing the inverse calculation. In addition, the whole time domain is divided into several analysis sub-time intervals and then these unknown estimates on each analysis interval can be predicted. In order to show the accuracy of the present inverse method, comparisons are made among the present estimates, direct results and previous results, showing that the present estimates agree with the direct results for the simulated problem. However, the present estimates of the surface absorptivity deviate slightly from previous estimated results under the assumption of constant thermal properties. The effect of the surface conditions on the surface absorptivity and temperature is not negligible.

Original languageEnglish
Article number020
Pages (from-to)1141-1148
Number of pages8
JournalJournal of Physics D: Applied Physics
Volume39
Issue number6
DOIs
Publication statusPublished - 2006 Mar 21

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Industrial heating
absorptivity
heating
Lasers
lasers
estimates
surface temperature
intervals
materials tests
least squares method
Temperature
heat flux
Laplace transforms
thermodynamic properties
Finite difference method
Heat flux
temperature
Thermodynamic properties

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

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abstract = "This study applies a hybrid technique of the Laplace transform and finite-difference methods in conjunction with the least-squares method and experimental temperature data inside the test material to predict the unknown surface temperature, heat flux and absorptivity for various surface conditions in the laser surface heating process. In this study, the functional form of the surface temperature is unknown a priori and is assumed to be a function of time before performing the inverse calculation. In addition, the whole time domain is divided into several analysis sub-time intervals and then these unknown estimates on each analysis interval can be predicted. In order to show the accuracy of the present inverse method, comparisons are made among the present estimates, direct results and previous results, showing that the present estimates agree with the direct results for the simulated problem. However, the present estimates of the surface absorptivity deviate slightly from previous estimated results under the assumption of constant thermal properties. The effect of the surface conditions on the surface absorptivity and temperature is not negligible.",
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Estimation of surface absorptivity in laser surface heating process with experimental data. / Chen, Han-Taw; Wu, Xin Yi.

In: Journal of Physics D: Applied Physics, Vol. 39, No. 6, 020, 21.03.2006, p. 1141-1148.

Research output: Contribution to journalArticle

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