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Journal of Thermal Science

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2026 , Vol. 35 >Issue 1: 227 - 237

DOI: https://doi.org/10.1007/s11630-026-2217-7

Three-Dimensional Distributions of Temperature and Absorption Coefficient in Asymmetric Flame Using Multi-Spectral Light Field Imaging

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  • 1. MIIT Key Laboratory of Thermal Control of Electronic Equipment, School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
    2. Advanced Combustion Laboratory, School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

网络出版日期: 2026-01-05

基金资助

This study is supported by the National Natural Science Foundation of China (Grant Nos. 52306213, 52376115), the Natural Science Foundation of Jiangsu Province (BK20220955), and the Fundamental Research Funds for the Central Universities (Grant No. 30924010921). We would like to acknowledge the editors and referees who made important comments that helped us to improve this paper.

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Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2026
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Three-Dimensional Distributions of Temperature and Absorption Coefficient in Asymmetric Flame Using Multi-Spectral Light Field Imaging

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  • 1. MIIT Key Laboratory of Thermal Control of Electronic Equipment, School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
    2. Advanced Combustion Laboratory, School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

Online published: 2026-01-05

Supported by

This study is supported by the National Natural Science Foundation of China (Grant Nos. 52306213, 52376115), the Natural Science Foundation of Jiangsu Province (BK20220955), and the Fundamental Research Funds for the Central Universities (Grant No. 30924010921). We would like to acknowledge the editors and referees who made important comments that helped us to improve this paper.

Copyright

Science Press, Institute of Engineering Thermophysics, CAS and Springer-Verlag GmbH Germany, part of Springer Nature 2026
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摘要

非对称火焰在燃烧过程中呈现出独特的动态特性和燃烧模式，这对于优化燃烧效率与性能至关重要。准确推导非对称火焰的三维温度分布与吸收系数分布，对于实际的火焰测量应用具有重要意义。然而，获取这些数据面临重大挑战，因为需要求解一个病态的逆问题。为解决这一问题，本文提出一种基于蒙特卡洛光线追踪的多光谱光场成像模型，用以捕捉这些分布。该模型能够在结合Tikhonov正则化与贝叶斯优化方法的基础上，实现对温度和吸收系数的重建。我们的研究系统地分析了温度重建的不确定性，考虑了吸收系数在均匀与非均匀分布、所采用的重建技术，以及信噪比等因素的影响。值得注意的是，由于火焰介质的光学厚度，火焰内部的吸收特性对重建结果的影响较小。此外，对Tikhonov正则化方法与最小二乘QR分解方法的对比表明，在重建精度相当的前提下，Tikhonov方法的计算时间更短。总体而言，与信噪比相关的不确定性是影响火焰吸收系数重建相对误差的最具影响力的因素。

关键词： three-dimensional temperature distribution; absorption coefficient; multi-spectral light field imaging; simultaneous reconstruction

本文引用格式

LI Tianjiao, LIU Dong . Three-Dimensional Distributions of Temperature and Absorption Coefficient in Asymmetric Flame Using Multi-Spectral Light Field Imaging[J]. 热科学学报, 2026 , 35(1) : 227 -237 . DOI: 10.1007/s11630-026-2217-7

Abstract

Asymmetric flames exhibit distinct dynamic characteristics and combustion patterns during combustion, which are crucial for optimizing combustion efficiency and performance. Accurate derivation of three-dimensional temperature and absorption coefficient distributions in asymmetric flames is essential for real-world flame measurement applications. However, retrieving these data presents a significant challenge, as the process requires solving an ill-posed inverse problem. To tackle this issue, we propose a multi-spectral light field imaging model that utilizes the Monte Carlo ray tracing method to capture these distributions. This model enables the reconstruction of both temperature and absorption coefficients using Tikhonov regularization combined with Bayesian optimization method. Our analysis investigates the uncertainties associated with temperature reconstruction, taking into account factors such as uniform and non-uniform absorption coefficient distributions, the reconstruction technique employed, and the signal-to-noise ratio. Notably, our findings suggest that the absorption properties within the flame have a minimal impact due to the flame medium’s optical thickness. Moreover, a comparative assessment between the Tikhonov regularization method and the least-square QR decomposition method reveals that, for comparable accuracy in reconstruction, the Tikhonov method requires a shorter computational time. Ultimately, the uncertainty related to the signal-to-noise ratio emerges as the most influential factor affecting the relative error in the reconstruction of the flame’s absorption coefficient.

Key words： three-dimensional temperature distribution; absorption coefficient; multi-spectral light field imaging; simultaneous reconstruction

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