粗糙表面分形多孔介质等效导热模型

Advances in Geo-Energy Research, 2019, 3(2): 149-155

原文网址: https://www.yandy-ager.com/index.php/astp/article/view/118

        多孔介质等效导热系数的定量评价是表征多孔介质传热性能的关键热物理参数，因此在科学和工程中得到了广泛的关注。近日，中国地质大学（武汉）秦暄博士、英国阿伯丁大学周英芳博士与加拿大麦吉尔大学Agus Pulung Sasmito 博士基于毛细管弯曲和微孔表面粗糙的分形特征，提出了粗糙表面多孔介质等效导热系数的理论模型。该模型考虑了多孔介质的几何参数，包括孔隙度、微孔分形维数、弯曲分形维数和相对粗糙度。计算得到的归一化等效导热系数与公布的实验数据进行了验证。结果表明，它们之间有良好的一致性。广泛讨论和分析了几何因素、孔隙度和相对表面粗糙度对粗糙表面多孔介质等效导热系数的影响。

An effective thermal conductivity model for fractal porous media with rough surfaces

Xuan Qin, Yingfang Zhou, Agus Pulung Sasmito

(Published: 2019-02-08)

CorrespondingAuthor and Email: 

Yingfang Zhou, yingfang.zhou@abdn.ac.uk; ORCID: https://orcid.org/0000-0002-7753-3249

Citation: Qin, X., Zhou, Y., Sasmito, A.P. An effective thermal conductivity model for fractal porous media with rough surfaces. Advances in Geo-Energy Research, 2019, 3(2): 149-155, doi: 10.26804/ager.2019.02.04.

ArticleType: Original article

Abstract：

      Quantitative evaluation of the effective thermal conductivity of porous media has received wide attention in science and engineering since it is a key thermophysical parameter in characterizing heat transfer properties. Based on fractal characters of tortuous capillary tubes and rough surfaces in micro-pores, we proposed a theoretical model of the effective thermal conductivity in porous media with rough surfaces. This model considers the geometrical parameters of porous media, including porosity, micro-pore fractal dimension, tortuosity fractal dimension, and relative roughness. The calculated normalized effective thermal conductivity was then validated against published experimental data. The results show good agreement between them. The influence of geometrical factors, porosity and relative surface roughness, on the effective thermal conductivity in porous media with rough surfaces are discussed and analyzed extensively.

Keywords: Effective thermal conductivity, porous media, rough surfaces, fractal.

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