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The development of the simultaneous reconstruction of 2D temperature and concentration using a 6-peaks algorithm for CT-TDLAS

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Abstract

A new reconstruction algorithm for a computed tomography-tunable diode laser absorption spectroscopy (CT-TDLAS) proposed for the measurements of two-dimensional temperature and concentration distribution of a gas flame. The characteristic wavelengths near 1388 nm where water vapor was detected, it used for the performance test of the proposed algorithm. The new algorithm is a 6-peaks algorithm, in which the absorptions at 6 representative wavelengths are used for the construction of the actual absorption spectra at a certain temperature of gas flame. Multiplicative algebraic reconstruction technique (MART) and scale & least mean squares (LMS) algorithms were adopted for data reconstructions. Mean squared error (MSE) was calculated during the iterative calculations for data reconstructions. In order to evaluate the performances of the new algorithm, a numerical test was performed by the use of phantom data in which two-dimensional distribution of temperature and concentration fields were set at 22 × 22 square mesh with Gaussian distribution. Further, the proposed algorithm has been adopted to calculate an actual temperature distribution inside a combustion engine, through which the performance of the newly proposed 6-peaks algorithm has been demonstrated theoretically and experimentally. It is highly expected that the proposed algorithm will be the most appropriate approach for calculating the temperature and concentration fields in CTTDLAS.

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Abbreviations

I λ :

Intensity of the transmitted light

I λ0 :

Intensity of the incident light

A λ :

Spectral absorbance

λ:

Wavelength

S i,j :

Line-strength

G vi,j :

Line-broadening function

h :

Planck’s constant

k :

Boltzmann’s constant

c :

Light speed

v 0 :

Wavenumber at the line-center

E" :

Lower-state energy of the transition

T 0 :

Reference temperature (296 K)

Q (T) :

Partition function of absorbing molecular

v 0 :

Wavenumber at the line-center

α i,j :

Absorption coefficient

k’ :

Iteration number

β :

Relaxation parameter

δ :

Relaxation factor

T min :

Minimum temperature

n min :

Minimum concentration

D T :

Deviation of the temperature

D n :

Deviation of the concentration

reT :

Relative error of the reconstructed temperature

ren :

Relative error of the reconstructed concentration

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Acknowledgments

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Korea Government (No. 2017R1A2 B2010603, No. 2018R1C1B5085281, and No. 2018R1A2B600 9387). Further, this has been also supported by the Ministry of Trade, Industry and Energy (MOTIE) and Korea Institute for Advancement of Technology (KIAT) through the National Innovation Cluster R&D program (P0006900, G02P03010000402).

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Authors and Affiliations

  1. Technical Center for High-Performance Valves, Dong-A University, Busan, 49315, Korea

    Doo-Won Choi

  2. Korea Maritime and Ocean University, Busan, 49112, Korea

    Deog-Hee Doh

  3. Division of Mechanical Engineering, Korea Maritime and Ocean University, Busan, 49112, Korea

    Min-Gyu Jeon

Authors
  1. Doo-Won Choi
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  2. Deog-Hee Doh
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  3. Min-Gyu Jeon
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Corresponding author

Correspondence to Min-Gyu Jeon.

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Recommended by Editor Yang Na

Doo-Won Choi earned his B.S. and M.S. degrees in the Refrigeration, Air-conditioning Engineering at Korea Maritime & Ocean University (KMOU) in 2005 and 2007, Ph.D. degree in the Department of Mechanical Engineering in Tokushima University, Japan, in 2016. He is currently an Assistant Professor at Dong- A University His main interests are the areas of fundamentals of combustion, and computational fluid dynamics in industry and technical center for high-performance valves.

Deog-Hee Doh earned his B.S. and M.S. degrees in the Department of Marine Engineering at Korea Maritime & Ocean University (KMOU) in 1985 and 1988, respectively. He received his Ph.D. degree in the Department of Mechanical Engineering in Tokyo University, Japan, in 1995. He is currently a President at KMOU. His main interests are in the areas of flow visualizations in industry and marine and offshore machinery.

Min-Gyu Jeon earned his B.S. and M.S. degrees in the Refrigeration, Air-conditioning Engineering at Korea Maritime & Ocean University (KMOU) in 2012 and 2014, respectively. He received his Ph.D. degree in the Department of Mechanical Engineering in Tokushima University, Japan, in 2018. He is currently a Research Professor in the Division of Mechanical Engineering at KMOU. His research interest includes the areas of fundamentals of combustion, and flow visualizations in industry and marine and off-shore machinery.

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Choi, DW., Doh, DH. & Jeon, MG. The development of the simultaneous reconstruction of 2D temperature and concentration using a 6-peaks algorithm for CT-TDLAS. J Mech Sci Technol 34, 2067–2074 (2020). https://doi.org/10.1007/s12206-020-0428-5

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  • DOI: https://doi.org/10.1007/s12206-020-0428-5

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