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Research Papers: Radiative Heat Transfer

Application of Landweber Method for Three-Dimensional Temperature Field Reconstruction Based on the Light-Field Imaging Technique

[+] Author and Article Information
Xing Huang

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 150001, China
e-mail: 917881244@qq.com

Hong Qi

School of Energy Science and Engineering,
Harbin Institute of Technology,
92, West Dazhi Street,
Harbin 150001, China
e-mail: qihong@hit.edu.cn

Xiao-Luo Zhang

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 150001, China
e-mail: 641904450@qq.com

Ya-Tao Ren

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 150001, China
e-mail: ren_ya_tao1990@163.com

Li-Ming Ruan

School of Energy Science and Engineering,
Harbin Institute of Technology,
92, West Dazhi Street,
Harbin 150001, China
e-mail: ruanlm@hit.edu.cn

He-Ping Tan

School of Energy Science and Engineering,
Harbin Institute of Technology,
Harbin 150001, China
e-mail: tanheping@hit.edu.cn

1Corresponding authors.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received August 5, 2017; final manuscript received December 19, 2017; published online April 11, 2018. Assoc. Editor: Laurent Pilon.

J. Heat Transfer 140(8), 082701 (Apr 11, 2018) (11 pages) Paper No: HT-17-1449; doi: 10.1115/1.4039305 History: Received August 05, 2017; Revised December 19, 2017

Combined with the light-field imaging technique, the Landweber method is applied to the reconstruction of three-dimensional (3D) temperature distribution in absorbing media theoretically and experimentally. In the theoretical research, simulated exit radiation intensities on the boundary of absorbing media according to the computing model of light field are employed as inputs for inverse analysis. Compared with the commonly used iterative methods, i.e., the least-square QR decomposition method and algebraic reconstruction technique (ART), the Landweber method can produce reconstruction results with better quality and less computational time. Based on the numerical study, an experimental investigation is conducted to validate the suitability of the proposed method. The temperature distribution of the ethylene diffusion flame is reconstructed by using the Landweber method from the flame image captured by a light-field camera. Good agreement was found between the reconstructed temperature distribution and the measured temperature data obtained by a thermocouple. All the experimental results demonstrate that the temperature distribution of ethylene flame can be reconstructed reasonably by using the Landweber method combined with the light-field imaging technique, which is proven to have potential for the use in noncontract measurement of temperature distribution in practical engineering applications.

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Figures

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Fig. 1

Schematic diagram of ray tracing in light-field camera

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Fig. 8

Relative error distributions of different methods: (a) LSQR method, (b) ART method, and (c) Landweber method

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Fig. 9

The mean, minimum, and maximum reconstruction errors of the temperature field under different methods and measurement errors

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Fig. 7

Reconstruction temperature field of different reconstruction methods with 5% measurement errors: (a) exact value, (b) results of LSQR method, (c) results of ART method, and (d) results of Landweber method

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Fig. 6

Reconstruction temperature field of different reconstruction methods with 3% measurement errors: (a) exact value, (b) results of LSQR method, (c) results of ART method, and (d) results of Landweber method

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Fig. 5

Reconstruction temperature field of different reconstruction methods with 1% measurement errors: (a) exact value, (b) results of LSQR method, (c) results of ART method, and (d) results of Landweber method

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Fig. 4

Reconstruction temperature field of different reconstruction methods with 0% measurement errors: (a) exact value, (b) results of LSQR method, (c) results of ART method, and (d) results of Landweber method

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Fig. 3

Simulated radiation intensity distributions on CCD sensor plane

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Fig. 2

Computational path of the directional radiation intensity

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Fig. 10

The computing time of the three methods with different measurement errors

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Fig. 11

Schematic diagram of the noncontact measurement experimental platform

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Fig. 12

The flame image captured by the light-field camera

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Fig. 13

The reconstructed 3D temperature distribution in cross sections (a) and vertical section (b)

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Fig. 14

Comparison of the reconstructed results and measured results of the flame temperature

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