This paper presents a relatively simple method for temperature measurement of hot carbon dioxide gas using an emission spectroscopy setup. The $\nu$3 band emission at 4.3 µm is detected using an optical band-pass filter and a mercury cadmium telluride detector. A conversion methodology is introduced that calculates the detector voltage from the spectral radiance considering the spectral sensitivities of the optical components and the non-linear characteristics of the detector. Two radiation models, a line-by-line model and a random statistical narrow band model, are employed to calculate the spectral radiance at given flow conditions. Black body radiation is considered for radiance calculation for optically thick conditions. Temperatures under test conditions in a shock tube are determined using the proposed conversion methodology and are compared with the temperatures obtained from a computational fluid dynamics simulation. The accuracy and efficiency of the temperature measurement using the two radiation models and the black body curve are compared. It is confirmed that the proposed method is a reliable way to determine the temperature while using a relatively simple experimental setup. Detector voltages are presented for a wide range of temperature, pressure, and beam path length for applications under different test conditions.

本文介绍了一种使用发射光谱仪测量热二氧化碳气体温度的相对简单方法。的$\nu$使用光学带通滤波器和碲化汞镉检测器可检测到4.3 µm处的3波段发射。引入了一种转换方法，该方法根据光谱辐射率来计算检测器电压，其中要考虑光学组件的光谱灵敏度和检测器的非线性特性。两种辐射模型，逐行模型和随机统计窄带模型，用于计算给定流动条件下的光谱辐射率。黑体辐射被认为是用于光学厚度条件下的辐射度计算。使用提议的转换方法确定在冲击管中的测试条件下的温度，并将其与从计算流体动力学模拟获得的温度进行比较。比较了使用两种辐射模型和黑体曲线进行温度测量的准确性和效率。可以确认，所提出的方法是使用相对简单的实验装置确定温度的可靠方法。给出了适用于不同测试条件下的温度，压力和光束路径长度范围的检测器电压。