Abstract
Tunable diode laser absorption tomography is a technology that enables the visualization of 2D temperature and concentration in combustion fields. This study proposes a method called variable weighted cross-correlation tomography to improve the traditional two-wavelength scheme affected by signal noise and bias error. The proposed approach combines the multiplicative algebraic reconstruction technique and pattern matching at nine wavelengths by adding peak and bottom wavelengths. In addition, this method iteratively calculates using a corrective multiplication line-of-sight and a modified return process to simultaneously estimate the images of 2D temperature and concentration. Numerical tests are performed using various thermodynamic models with additive noise. The validation experiments involving premixed methane-air flames demonstrate the good agreement between the average relative error values of the reconstructed temperature and the temperature measured using thermocouple (3.32 %), which can be ascribed to the introduction of modified broadening coefficients.
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Abbreviations
- A λj :
-
Integrated absorbance
- α λ :
-
Absorption coefficient
- VWCC :
-
Variable weighted cross-correlation
- MART :
-
Multiplicative algebraic reconstruction technique
- ω :
-
Variable weight coefficient
- β :
-
Relaxation factor
- T rec :
-
Reconstructed temperature
- T pha :
-
Phantom temperature
- X rec :
-
Reconstructed concentration
- X pha :
-
Phantom concentration
- NRMSE T :
-
Normalized RMSE of temperature distributions
- NRMSE X :
-
Normalized RMSE of concentration distributions
- Error R,T :
-
Relative temperature error
- Error R,X :
-
Relative concentration error
- TC :
-
Thermocouple
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Acknowledgments
This research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT; 2018R1C1B5085281).
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Gyong-Rae Cho earned his B.S. and M.S. degrees in Refrigeration and Air-Conditioning Engineering from Korea Maritime and Ocean University (KMOU) in 1999 and 2001, respectively. He also earned a degree from the Department of Product Sciences in Saitama University, Japan in 2004. He is currently working as a Research Professor at KMOU. His main interests include computational fluid dynamics, flow visualization, and artificial intelligence in industry.
Doo-Won Choi earned his B.S. and M.S. degrees in Refrigeration and Air-Conditioning Engineering from KMOU in 2005 and 2007, respectively. He also earned a degree from the Department of Mechanical Engineering in Tokushima University, Japan in 2016. He is currently working as an Assistant Professor at Silla University. His main interests include fundamentals of combustion and computational fluid dynamics in industry.
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Cho, GR., Choi, DW. Measurement enhancement of TDLAS based on variable weighted cross-correlation tomography for the simultaneous reconstruction of 2D temperature and concentration. J Mech Sci Technol 35, 525–534 (2021). https://doi.org/10.1007/s12206-021-0111-5
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Keywords
- Tunable diode laser absorption tomography
- Reconstruction temperature
- Reconstruction concentration
- Cross-correlation
- Premixed methane-air flame