General calculating method of thermal conductivity for porous materials
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摘要: 利用蒙特卡洛法對多孔材料的內部結構進行了重構,并驗證了重構模型具有自相似性和標度不變性的分形特性.對重構的多孔材料模型進行網格劃分,利用二值化原理識別網格中的固體基質和流體孔隙,構筑材料內部真實傳熱過程的串并聯混合熱阻陣列圖,建立適用于各種均質和非均質多孔材料熱導率的計算方法——二值化陣列法.基于該方法,對閉孔泡沫鋁和硅酸鋁耐火纖維材料的熱導率進行了計算,并與文獻中的實驗測量值進行了比較,具有較好的一致性,驗證了本方法的正確性和普適性.Abstract: The structure of porous materials was reconstructed by using a Monte-Carlo method. It is verified that the reconstructed model has the fractal characteristics of self-similarity and scale-invariance. The reconstructed structure of porous materials was first meshed, and solid and fluid phases of the grids were identified by the binary theory. Then a series-parallel connection array model was established for the real heat transfer process. Finally a method of calculating the thermal conductivity of homogeneous and non-homogeneous porous materials, namely, the binary array method, was proposed. Closed-cell foam aluminum and alumina-silicate refractory fiber materials were taken as examples, and the binary array method was used to calculate their thermal conductivities. The calculated values fit well with experimental results respectively, proving the correctness and universality of the binary array method.
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Key words:
- porous materials /
- thermal conductivity /
- reconstruction /
- Monte-Carlo method /
- array processing
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