Transactions of Nanjing University of Aeronautics & Astronautics
Efficient Inverse Analysis for Solving a Coupled Conduction, Convection and Radiation Problem Involving Non-gray Participating Media
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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.
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Project Supported:
This work was supported by the National Natural Science Foundation of China （No.12172078）； and the Fundamental Research Funds for the Central Universities （No. DUT24MS007）.
Clc Number:
TK124
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