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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v10.i6.30
pages 551-568

A Generalized Model for the Effective Thermal Conductivity of Unsaturated Porous Media Based on Self-Similarity

Yongjin Feng
Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Boming Yu
Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Mingqing Zou
Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Peng Xu
China Jiliang University

ABSTRACT

A new generalized model for the effective thermal conductivities of unsaturated porous media is developed by extending both Ma et al.'s (2004) and Feng et al.'s (2004) works. The proposed model takes account of the pore fractal dimension changing with porosity. The Sierpinski carpets of side length L = 13 with different cutouts are constructed to model the unsaturated porous media and to derive the effective thermal conductivity of unsaturated porous media based on the thermal-electrical analogy technique. The recursive expression for the thermal conductivity is obtained. The model predictions are compared with the available experimental data, and good agreement is found between the model predictions and experimental data in the porosity range 0.14 ∼ 0.60.


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