南京航空航天大学学报（英文版）2024，Vol.41Issue(5)：621-631,11.DOI:10.16356/j.1005-1120.2024.05.007
求解非灰介质参与的导热-对流-辐射耦合传热问题的快速逆分析
Efficient Inverse Analysis for Solving a Coupled Conduction,Convection and Radiation Problem Involving Non-gray Participating Media
摘要
Abstract
The presence of non-gray radiative properties in a reheating furnace's medium that absorbs,emits,and involves non-gray creates more complex radiative heat transfer problems.Furthermore,it adds difficulty to solving the coupled conduction,convection,and radiation problem,leading to suboptimal efficiency that fails to meet real-time control demands.To overcome this difficulty,comparable gray radiative properties of non-gray media are proposed and estimated by solving an inverse problem.However,the required iteration numbers by using a least-squares method are too many and resulted in a very low inverse efficiency.It is necessary to present an efficient method for the equivalence.The Levenberg-Marquardt algorithm is utilized to solve the inverse problem of coupled heat transfer,and the gray-equivalent radiative characteristics are successfully recovered.It is our intention that the issue of low inverse efficiency,which has been observed when the least-squares method is employed,will be resolved.To enhance the performance of the Levenberg-Marquardt algorithm,a modification is implemented for determining the damping factor.Detailed investigations are also conducted to evaluate its accuracy,stability of convergence,efficiency,and robustness of the algorithm.Subsequently,a comparison is made between the results achieved using each method.关键词
反问题/耦合传热问题/列文伯格-马夸尔特算法Key words
inverse problem/coupled heat transfer problem/Levenberg-Marquardt algorithm分类
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何峥,曹振坤,程响,崔苗,刘焜..求解非灰介质参与的导热-对流-辐射耦合传热问题的快速逆分析[J].南京航空航天大学学报（英文版）,2024,41(5):621-631,11.基金项目
This work was supported by the Na-tional Natural Science Foundation of China(No.12172078) （No.12172078）
and the Fundamental Research Funds for the Central Univer-sities(No.DUT24MS007). （No.DUT24MS007）
