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不完全分形多孔介質(zhì)熱導(dǎo)率模型
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國家自然科學(xué)基金資助項目(51165014)、云南省教育廳重大專項資助項目(ZD2010002)、云南省科技計劃項目資助項目(2012FB130)和云南省教育廳科學(xué)研究基金資助項目(2012Y540)


Thermal Conductivity Model of Incomplete Fractal Porous Media
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    摘要:

    將多孔介質(zhì)的物理構(gòu)成分為具有分形結(jié)構(gòu)的團聚體集合和不具有分形特性的固相和孔隙相,建立了簡化單元體模型解釋其微觀結(jié)構(gòu)。結(jié)合多孔介質(zhì)在干燥過程中熱量守恒定律和傅里葉導(dǎo)熱定律導(dǎo)出了材料總有效熱導(dǎo)率模型。此模型無經(jīng)驗常數(shù),每一個參數(shù)都有物理意義。研究結(jié)果表明,有效熱導(dǎo)率與迂曲分形維數(shù)、面積分形維數(shù)、孔隙率和熱風(fēng)溫度呈反比,與熱風(fēng)速率和時間呈正比。

    Abstract:

    The porous media was divided into the fractal aggregation and the non fractal solid phase and pore phase, and a simplified cell model was made to show the microstructure. Porosity, areal fractal dimension, tortuosity fractal dimension, tortuosity, solid phase area and pore phase area of incomplete fractal porous were exhibited. The effective thermal conductivity was built combined with thermal energy and Fouriers law of heat conduction during drying, thermal energy including the heat which required for solid phase during the drying and the heat coming from the circulating hot air. The model was not based on empirical formulas and assumed thermal resistance, and each symbol had definite physical meaning. The result showed that effective thermal conductivity had a negative correlation with the tortuosity fractal dimension, porosity, areal fractal dimension and hot air temperature, while it has a positive correlation with the hot air rate and time.

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張賽,陳君若,劉美紅,劉顯茜.不完全分形多孔介質(zhì)熱導(dǎo)率模型[J].農(nóng)業(yè)機械學(xué)報,2014,45(8):220-224. Zhang Sai, Chen Junruo, Liu Meihong, Liu Xianxi. Thermal Conductivity Model of Incomplete Fractal Porous Media[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(8):220-224.

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  • 收稿日期:2013-11-21
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  • 在線發(fā)布日期: 2014-08-10
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