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首页> 外文期刊>Journal of Heat Transfer >Iterative Multiscale Approach for Heat Conduction With Radiation Problem in Porous Materials
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Iterative Multiscale Approach for Heat Conduction With Radiation Problem in Porous Materials

机译：多孔材料导热问题的迭代多尺度迭代方法

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摘要

This paper describes a thermal homogenization approach to the application of a multi-scale formulation for heat conduction with radiation problems in a porous material. The suggested formulation enables to evaluate the effective macroscopic thermal conductivity, based on the microscopic properties such as porosity, and can also provide the microscopic radiosity heat flux, based on the macroscopic temperature gradient field. This is done by scaling up and down between the microscopic and macroscopic models according to the suggested methodology. The proposed methodology involves a new iterative upscaling procedure, which uses heat conduction at macroscopic problem and heat transfer by conduction and radiation at microscopic problem. This reduces the required computational time, while maintaining the required level of accuracy. The suggested multiscale formulation has been verified by comparing its results with reference finite element (FE) solutions of porous (filled with air) materials examples; the results shows excellent agreement (up to 5% discrepancy) with reference solutions. The efficiency of the suggested formulation was demonstrated by solving a full-scale engineering transient problem.
机译：本文介绍了一种热均质方法，该方法用于多尺度配方在多孔材料中存在辐射问题的热传导中的应用。所提出的配方能够基于微观性质（例如孔隙率）评估有效的宏观导热率，并且还能够基于宏观温度梯度场提供微观辐射能热通量。这可以通过根据建议的方法在微观模型和宏观模型之间进行缩放来实现。所提出的方法涉及一种新的迭代放大过程，该过程在宏观问题上使用热传导，而在微观问题上使用通过传导和辐射的热传递。这样可以减少所需的计算时间，同时保持所需的准确性。通过将其结果与多孔（充满空气）材料示例的参考有限元（FE）解决方案进行比较，对建议的多尺度配方进行了验证。结果表明与参考溶液具有极好的一致性（差异高达5％）。通过解决全面的工程瞬态问题证明了所建议配方的有效性。

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