A NOVEL ANALYTICAL MODEL OF THE EFFECTIVE THERMAL CONDUCTIVITY OF POROUS MATERIALS UNDER STRESS

Jiadi Tang, Gang Lei, Xiaodong Li, Ling Zhang, Wan Cheng, Jiangtao Pang and Guosheng Jiang
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Jiadi Tang: Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China
Gang Lei: Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China†Shenzhen Research Institute, China University of Geosciences, Shenzhen 518063, China
Xiaodong Li: Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China
Ling Zhang: Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China
Wan Cheng: Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China
Jiangtao Pang: Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China
Guosheng Jiang: Faculty of Engineering, China University of Geosciences, Wuhan 430074, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 08, 1-20

Abstract: With the increasing demand for energy, heat and mass transfer through porous media has been widely studied. To achieve accuracy in studying the behavior of heat transfer, a good knowledge of the effective thermal conductivity (ETC) of porous materials is needed. Because pore structure dominates the ETC of porous materials and effective stress leads to a change in pore structure, effective stress is one of the key influencing factors affecting ETC. In this study, considering the structure of surface roughness and pore size, based on fractal theory, a novel analytical solution at the pore scale for ETC of porous materials under stress conditions is proposed. Furthermore, in this model, capillaries in porous materials saturated with multiple phases have sinusoidal periodically constricted boundaries. The derived ETC model is validated against available experimental data. Moreover, the influences of the effective stress, initial effective porosity, roughness structure characterization, and wetting phase saturation on the ETC are analyzed. Compared with previous models, the rough surfaces of porous materials and the coupling of heat conduction and mechanics are taken into consideration to make the model more reasonable. As a result, this ETC model can better reveal the mechanism of heat conduction in porous media under stress conditions.

Keywords: Porous Materials; Effective Stress; Rough Surface; Effective Thermal Conductivity; Analytical Solution (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0218348X2340176X

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