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Research Papers: Radiative Heat Transfer

Reconstruction of Radiative Properties Fields in Participating Media by Using the Sequential Quadratic Programing Combined With Regularization Technique

[+] Author and Article Information
Lin-Yang Wei, Xiao-Luo Zhang, Shuang Wen, Md Arafat Islam

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 150001, China;
Key Laboratory of Aerospace Thermophysics,
Ministry of Industry and Information Technology,
Harbin 150001, China

Hong Qi

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 150001, China;
Key Laboratory of Aerospace Thermophysics,
Ministry of Industry and Information Technology,
Harbin 150001, China
e-mail: qihong@hit.edu.cn

Li-Ming Ruan

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 150001, China;
Key Laboratory of Aerospace Thermophysics,
Ministry of Industry and Information Technology,
Harbin 150001, China
e-mail: ruanlm@hit.edu.cn

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 8, 2018; final manuscript received October 25, 2018; published online December 13, 2018. Assoc. Editor: Xiulin Ruan.

J. Heat Transfer 141(2), 022702 (Dec 13, 2018) (10 pages) Paper No: HT-18-1377; doi: 10.1115/1.4041831 History: Received June 08, 2018; Revised October 25, 2018

The refractive index and absorption coefficient fields in participating media are reconstructed simultaneously in this work. In the direct model, the coupled radiation–conduction heat transfer in participating media exposed to a pulse laser irradiation is solved by finite volume method (FVM). In the inverse model, the sequential quadratic programming (SQP) algorithm combined with the generalized Gaussian Markov random field (GGMRF) model is employed to solve the reconstruction problem. It is found that the refractive index and absorption coefficient fields cannot be reconstructed simultaneously. A secondary reconstruction technique based on different regularization parameters is proposed to reconstruct the refractive index and absorption coefficient fields simultaneously. All the retrieval results indicate that the proposed secondary reconstruction technique performs accurately and effectively.

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Figures

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Fig. 1

The physical model of coupled radiation-conduction heat transfer in a slab subjected to a laser irradiation

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Fig. 2

Verification of the direct model and FVM code

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Fig. 3

The flowchart of SQP algorithm

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Fig. 4

Reconstruction model of parameter field

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Fig. 5

Reconstruction results without and with regularization term

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Fig. 6

L-curve of the scale parameter for reconstruction of refractive index field

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Fig. 7

The variation of the objective function of SQP for reconstruction of refractive index field

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Fig. 8

Reconstruction of refractive index fields

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Fig. 9

Simultaneous reconstruction of refractive index and absorption coefficient fields

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Fig. 10

Sensitivity analysis of radiative response to the parameters to be inversed (a) radiative response at left boundary to refractive index, (b) radiative response at right boundary to refractive index, (c) radiative response at left boundary to absorption coefficient, and (d) radiative response at right boundary to absorption coefficient

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Fig. 11

L-curve of the scale parameter for reconstruction of absorption coefficient field

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Fig. 12

The flowchart of whole reconstruction

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Fig. 13

Simultaneous reconstruction of refractive index and absorption coefficient fields

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