A method for inverse analysis of laser surface heating with experimental data

Sen Yung Lee; Tsung Wen Huang

doi:10.1016/j.ijheatmasstransfer.2013.12.067

A method for inverse analysis of laser surface heating with experimental data

Sen Yung Lee, Tsung Wen Huang

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

This paper proposes a solution method for inverse laser surface heating problem. By minimizing the mean square error between the experimental data obtained from inside the body and the estimated data from the derived analytical solution of a laser surface heating problem with time-dependent boundary conditions, the temperature function at the laser heating end can be determined. Consequently, the temperature distribution and the heat flux over the entire time and space domains can also be obtained. In addition, the integral transform and tedious numerical operations are not required in the proposed solution method. Mathematical and experimental examples are given to illustrate the simplicity, efficiency, and accuracy of the proposed method.

Original language	English
Pages (from-to)	299-307
Number of pages	9
Journal	International Journal of Heat and Mass Transfer
Volume	72
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2013.12.067
Publication status	Published - 2014 May

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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title = "A method for inverse analysis of laser surface heating with experimental data",

abstract = "This paper proposes a solution method for inverse laser surface heating problem. By minimizing the mean square error between the experimental data obtained from inside the body and the estimated data from the derived analytical solution of a laser surface heating problem with time-dependent boundary conditions, the temperature function at the laser heating end can be determined. Consequently, the temperature distribution and the heat flux over the entire time and space domains can also be obtained. In addition, the integral transform and tedious numerical operations are not required in the proposed solution method. Mathematical and experimental examples are given to illustrate the simplicity, efficiency, and accuracy of the proposed method.",

author = "Lee, {Sen Yung} and Huang, {Tsung Wen}",

note = "Funding Information: This work was supported by the National Science Council of Taiwan, Republic of China , under Grant NSC 99-2221-E-006-021 . ",

year = "2014",

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doi = "10.1016/j.ijheatmasstransfer.2013.12.067",

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journal = "International Journal of Heat and Mass Transfer",

issn = "0017-9310",

publisher = "Elsevier Limited",

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T1 - A method for inverse analysis of laser surface heating with experimental data

AU - Lee, Sen Yung

AU - Huang, Tsung Wen

N1 - Funding Information: This work was supported by the National Science Council of Taiwan, Republic of China , under Grant NSC 99-2221-E-006-021 .

PY - 2014/5

Y1 - 2014/5

N2 - This paper proposes a solution method for inverse laser surface heating problem. By minimizing the mean square error between the experimental data obtained from inside the body and the estimated data from the derived analytical solution of a laser surface heating problem with time-dependent boundary conditions, the temperature function at the laser heating end can be determined. Consequently, the temperature distribution and the heat flux over the entire time and space domains can also be obtained. In addition, the integral transform and tedious numerical operations are not required in the proposed solution method. Mathematical and experimental examples are given to illustrate the simplicity, efficiency, and accuracy of the proposed method.

AB - This paper proposes a solution method for inverse laser surface heating problem. By minimizing the mean square error between the experimental data obtained from inside the body and the estimated data from the derived analytical solution of a laser surface heating problem with time-dependent boundary conditions, the temperature function at the laser heating end can be determined. Consequently, the temperature distribution and the heat flux over the entire time and space domains can also be obtained. In addition, the integral transform and tedious numerical operations are not required in the proposed solution method. Mathematical and experimental examples are given to illustrate the simplicity, efficiency, and accuracy of the proposed method.

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JO - International Journal of Heat and Mass Transfer

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