研究目的
To study the applicability of diffusion approximation method in planar-graded-index media by analyzing the influence of optical thickness, scattering albedo, and wall emissivity on the accuracy of the diffusion approximation.
研究成果
The DA method's accuracy improves with increased optical thickness or scattering albedo and decreased wall emissivity. Errors are primarily at the medium boundary and center, stabilizing to small values under certain conditions of optical thickness or wall emissivity.
研究不足
The study is limited to two-dimensional steady-state radiative transfer equations for simplification. The complexity and computational load increase with the complexity of the problem, especially for non-uniform medium radiation.
1:Experimental Design and Method Selection:
The study employs the P1 diffusion approximation (DA) method and compares its results with those obtained by the Monte Carlo method (MCM) to analyze the accuracy of DA under various conditions.
2:Sample Selection and Data Sources:
The medium is uniformly divided into 200 x 200 units, with boundaries set to cold (0K) and medium temperature maintained at 1000K.
3:0K. List of Experimental Equipment and Materials:
3. List of Experimental Equipment and Materials: Not explicitly mentioned.
4:Experimental Procedures and Operational Workflow:
The dimensionless radiation heat flux distributions at the bottom of the medium are calculated for various parameter combinations to analyze the influence of each optical parameter.
5:Data Analysis Methods:
The accuracy of the DA method is determined by comparison with MCM results, focusing on the relative errors at different conditions.
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