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Advances in Geo-Energy Research 2019, 3(2): 149-155 https://doi.org/10.26804/ager.2019.02.04
Original Article | Open Access | Issue | Published: 08 February 2019

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

Show Author's Information Xuan Qin1,2,  Yingfang Zhou2 ( ),  Agus Pulung Sasmito3
Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, P. R. China
School of Engineering, University of Aberdeen, Aberdeen, AB24 3UE, UK
Department of Mining and Materials Engineering, McGill University, 3450 University Street, Montreal, QC H3A0E8, Canada
Keywords:
rough surfaces, porous media, fractal, Effective thermal conductivity
Cite this article:
Qin X, Zhou Y, Sasmito AP. An effective thermal conductivity model for fractal porous media with rough surfaces. Advances in Geo-Energy Research, 2019, 3(2): 149-155. https://doi.org/10.26804/ager.2019.02.04
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Abstract Full text About this article

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.


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About this article

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

Show Author's information Xuan Qin1,2, Yingfang Zhou2 ( ), Agus Pulung Sasmito3
Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, P. R. China
School of Engineering, University of Aberdeen, Aberdeen, AB24 3UE, UK
Department of Mining and Materials Engineering, McGill University, 3450 University Street, Montreal, QC H3A0E8, Canada

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

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Publication history
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Publication history

Received: 12 January 2019
Revised: 28 January 2019
Accepted: 29 January 2019
Published: 08 February 2019
Issue date: June 2019

Copyright

© The Author(s) 2019

Acknowledgements

This project was supported by the National Natural Science Foundation of China (No. 41572116), and the Hubei Provincial Natural Science Foundation of China (No. 2018CFA051). Dr. Zhou would like to thank the Royal Society to support his trip to China with the International Exchange Programme and Mr. Qin would like to thanks the British Council and China Scholarship Council to support his stay at the University of Aberdeen through the UK-China PhD Placement Programme.

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This article is distributed under the terms and conditions of the Creative Commons Attribution (CC BY-NC-ND) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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