Abstract In this paper, a set of new data is proposed for the simultaneous reconstruction of thermal radiation and conduction properties in a radiation-conduction medium into the one-dimensional layer. The radiation problem is modeled by the modified discrete ordinates method, and the conduction-radiation heat transfer problem is solved via the finite volume approach. The inverse problem is solved using the particle swarm optimization algorithm. Various cases are solved in this paper. In the first section, the constant absorption coefficient and radiation-conduction parameters are reconstructed by measuring the exit radiation intensities. To increase the accuracy of results, a two-stage hybrid optimization algorithm is used in this section. In the first stage, the absorption coefficient is calculated, and in the second stage, the radiation-conduction parameter is obtained. In the second section, the ability of the proposed algorithm and the measured data for reconstruction of the temperature-dependent radiation-conduction parameter is tested. To improve the results' accuracy in this section, a set of new data is used. Consequently, the proposed algorithm with a modified objective function that uses new data is presented to decrease the Planck number's sensitivity to the measurement errors.

中文翻译：

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一维辐射传导介质中非线性温度相关特性的同时重建

摘要 在本文中，提出了一组新数据，用于将辐射传导介质中的热辐射和传导特性同时重建为一维层。辐射问题采用修正离散纵坐标法建模，传导-辐射传热问题采用有限体积法求解。使用粒子群优化算法解决逆问题。本文解决了各种情况。在第一部分中，通过测量出射辐射强度来重建恒定吸收系数和辐射传导参数。为了提高结果的准确性，本节使用了两阶段混合优化算法。在第一阶段，计算吸收系数，在第二阶段，获得辐射传导参数。在第二部分中，测试了所提出的算法和测量数据重建温度相关辐射传导参数的能力。为了提高本节结果的准确性，使用了一组新数据。因此，提出的算法具有使用新数据的修改目标函数，以降低普朗克数对测量误差的敏感性。