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为了获得炉膛燃烧一维温度场,首先建立以二氧化碳和水蒸气为主的燃烧介质内一维辐射能传递模型,进而依据该模型,并结合二氧化碳和水蒸气的辐射特性参数的计算式,建立由边界处的辐射强度反演沿途火焰和介质一维温度分布的多波长辐射反问题。数值实验中利用BFGS算法求解此反问题获得燃烧的一维温度分布。数值实验的误差结果表明,此方法获得的重建一维温度分布整体及各段落温度值的相对误差均在10%以内,反演效果良好,能满足工业上的精度要求。
In order to obtain the one-dimensional temperature field in the combustion of a furnace, a one-dimensional radiative energy transfer model in the combustion medium mainly containing carbon dioxide and water vapor is established. Based on the model and the calculation formula of the radiation characteristic parameters of carbon dioxide and water vapor, Multiwavelength Radiation Inversion Problem of Inversion of One-Dimensional Temperature Distribution of Flames and Mediums along the Boundary by Radiation Intensities at Boundary. In the numerical experiment, the BFGS algorithm is used to solve this inverse problem to obtain the one-dimensional temperature distribution of combustion. The numerical results show that the relative errors of the reconstructed one-dimensional temperature distribution and the temperature of each paragraph are within 10%, and the inversion effect is good, which can meet the industrial precision requirements.