多波长辐射反问题重建燃烧一维温度分布

Reconstruction of One-dimension Temperature Distribution of Combustion Using Multi-wave Radiation Inverse Problem

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。

To obtain one-dimensional temperature distribu- tion inside furnace, a one-dimensional radiatant energy transfer model in combustion medium mainly consisting of carbon dioxide and water vapor is firstly established. Then based on this model, and combined with the formula of radi- ation characteristic parameters of carbon dioxide and water vapor, the multi-wavelength radiation inverse problem is constructed. In the numerical experiment, the inverse prob- lem is solved and a one-dimensional temperature distribution of combustion is acquired using BFGS algorithm. The error analysis of the results in the numerical experiments shows that the relative reconstruction error of the overall one-di- mensional temperature distribution and each section temper- ature value is within 10%, which shows that the result of temperature inversion is good and it can meet the accurate requirements in industrial usage.