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Estimating scalars from spectral radiation measurements in a homogeneous hot gas layer

机译：从均匀热气层中的光谱辐射测量值估计标量

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摘要

A new method of estimating temperature, soot volume fraction, and gas species concentrations from spectral radiation intensity measurements is reported. The spectral radiation intensities emitted from a one-dimensional McKenna burner is measured at multiple wavelengths using a high-speed mid-infrared spectrometer. The spectrometer obtains the spectral radiation intensities from 1.3 to 4.8 μm at 1320 Hz. Radiation from the soot, H_2O and CO_2 gas bands are used to estimate soot temperature, soot volume fraction, gas temperature, and mole fractions of CO_2 and H_2O gas. Because of high nonlinearity between the gas temperature and the emissivity of the gas molecules, temperature, andfgas concentration estimation requires a robust nonlinear inversion algorithm. A linearized radiative transfer equation (LRTE) in conjunction with the maximum likelihood estimation (MLE) method is developed to deconvolute the spectra) radiation intensities for temperatures and concentrations. The LRTE-MLE method is first verified using synthetic dataset. For the synthetic dataset, the LRTE-MLE method always converges to the exact solution from any reasonable initial guess. The LRTE-MLE method is found to be insensitive to random errors in radiation intensity measurements. However, the estimated gas temperature is sensitive to any potential errors in the wavelength calibration. The LRTE-MLE method is then applied to measurements from a one-dimensional premixed laminar flame. The estimated gas temperature and concentrations obtained us ing the LRTE-MLE method are very close to those obtained with thin filament pyrometry (TFP) and theoretical calculations. The computational cost for the LRTE-MLE method was found to be minimal when compared to other nonlinear methods.
机译：报道了一种通过光谱辐射强度测量估算温度，烟灰体积分数和气体种类浓度的新方法。使用高速中红外光谱仪在多个波长下测量一维McKenna燃烧器发出的光谱辐射强度。光谱仪在1320 Hz处获得1.3至4.8μm的光谱辐射强度。来自烟灰，H_2O和CO_2气带的辐射用于估算烟灰温度，烟灰体积分数，气体温度以及CO_2和H_2O气体的摩尔分数。由于气体温度和气体分子的发射率之间存在高度的非线性关系，因此温度和气体浓度估算需要可靠的非线性反演算法。结合最大似然估计（MLE）方法开发了线性化辐射传递方程（LRTE），以对温度和浓度的光谱辐射强度进行反卷积。首先使用合成数据集验证LRTE-MLE方法。对于合成数据集，LRTE-MLE方法始终会根据任何合理的初始猜测收敛到精确解。发现LRTE-MLE方法对辐射强度测量中的随机误差不敏感。但是，估计的气体温度对波长校准中的任何潜在误差均敏感。然后，将LRTE-MLE方法应用于一维预混层流火焰的测量。通过LRTE-MLE方法获得的估计气体温度和浓度与通过细丝高温法（TFP）和理论计算获得的气体温度和浓度非常接近。与其他非线性方法相比，LRTE-MLE方法的计算成本最低。

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