A fractal model of effective thermal conductivity for porous media with various liquid saturation

Xuan Qin; Jianchao Cai; Peng Xu; Sheng Dai; Quan Gan

doi:10.1016/j.ijheatmasstransfer.2018.09.072

A fractal model of effective thermal conductivity for porous media with various liquid saturation

Xuan Qin, Jianchao Cai^* (Corresponding Author), Peng Xu, Sheng Dai, Quan Gan

^*Corresponding author for this work

Geology and Geophysics

Research output: Contribution to journal › Article › peer-review

61 Citations (Scopus)

Abstract

Thermal conduction in porous media has received wide attention in science and engineering in the past decades. Previous models of the effective thermal conductivity of porous media contain empirical parameters typically with ambiguous or even no physical rationales. This study proposes a theoretical model of effective thermal conductivity in porous media with various liquid saturation based on the fractal geometry theory. This theoretical model considers geometrical parameters of porous media, including porosity, liquid saturation, fractal dimensions for both the granular matrix and liquid phases, and tortuosity fractal dimension of the liquid phase. Effects of these geometrical parameters on the effective thermal conductivity of porous media are also evaluated. This proposed fractal model has been validated using published experimental data, compared with previous models, and thus provides a physics-based theoretical model that can provide insight to geoscience and thermophysics studies on thermal conduction in porous media. (C) 2018 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	1149-1156
Number of pages	8
Journal	International Journal of Heat and Mass Transfer
Volume	128
Early online date	24 Sept 2018
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2018.09.072
Publication status	Published - 31 Jan 2019

Bibliographical note

This project is supported by the National Natural Science Foundation of China (Nos. 41722403, 41572116, 51876196), the Hubei Provincial Natural Science Foundation of China (No. 2018CFA051), the Fundamental Research Funds for the Central Universities (China University of Geosciences, Wuhan) (No. CUGCJ1709) and the MOST Special Fund from the State Key Laboratory of Geological Processes and Mineral Resources (China University of Geosciences, Wuhan) (No. MSFGPMR01-4). The authors would also like to appreciate the insightful comments of two anonymous reviewers.

Keywords

Effective thermal conductivity
Porous media
Fractal
Saturation
SPONTANEOUS IMBIBITION
GRANULAR-MATERIALS
GENERALIZED-MODEL
SELF-SIMILARITY
HEAT-CONDUCTION
PREDICTION
TRANSPORT
SEDIMENTS
BOUNDS
SOILS

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title = "A fractal model of effective thermal conductivity for porous media with various liquid saturation",

abstract = "Thermal conduction in porous media has received wide attention in science and engineering in the past decades. Previous models of the effective thermal conductivity of porous media contain empirical parameters typically with ambiguous or even no physical rationales. This study proposes a theoretical model of effective thermal conductivity in porous media with various liquid saturation based on the fractal geometry theory. This theoretical model considers geometrical parameters of porous media, including porosity, liquid saturation, fractal dimensions for both the granular matrix and liquid phases, and tortuosity fractal dimension of the liquid phase. Effects of these geometrical parameters on the effective thermal conductivity of porous media are also evaluated. This proposed fractal model has been validated using published experimental data, compared with previous models, and thus provides a physics-based theoretical model that can provide insight to geoscience and thermophysics studies on thermal conduction in porous media. (C) 2018 Elsevier Ltd. All rights reserved.",

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author = "Xuan Qin and Jianchao Cai and Peng Xu and Sheng Dai and Quan Gan",

note = "This project is supported by the National Natural Science Foundation of China (Nos. 41722403, 41572116, 51876196), the Hubei Provincial Natural Science Foundation of China (No. 2018CFA051), the Fundamental Research Funds for the Central Universities (China University of Geosciences, Wuhan) (No. CUGCJ1709) and the MOST Special Fund from the State Key Laboratory of Geological Processes and Mineral Resources (China University of Geosciences, Wuhan) (No. MSFGPMR01-4). The authors would also like to appreciate the insightful comments of two anonymous reviewers. ",

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doi = "10.1016/j.ijheatmasstransfer.2018.09.072",

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AU - Qin, Xuan

AU - Cai, Jianchao

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AU - Dai, Sheng

AU - Gan, Quan

N1 - This project is supported by the National Natural Science Foundation of China (Nos. 41722403, 41572116, 51876196), the Hubei Provincial Natural Science Foundation of China (No. 2018CFA051), the Fundamental Research Funds for the Central Universities (China University of Geosciences, Wuhan) (No. CUGCJ1709) and the MOST Special Fund from the State Key Laboratory of Geological Processes and Mineral Resources (China University of Geosciences, Wuhan) (No. MSFGPMR01-4). The authors would also like to appreciate the insightful comments of two anonymous reviewers.

PY - 2019/1/31

Y1 - 2019/1/31

N2 - Thermal conduction in porous media has received wide attention in science and engineering in the past decades. Previous models of the effective thermal conductivity of porous media contain empirical parameters typically with ambiguous or even no physical rationales. This study proposes a theoretical model of effective thermal conductivity in porous media with various liquid saturation based on the fractal geometry theory. This theoretical model considers geometrical parameters of porous media, including porosity, liquid saturation, fractal dimensions for both the granular matrix and liquid phases, and tortuosity fractal dimension of the liquid phase. Effects of these geometrical parameters on the effective thermal conductivity of porous media are also evaluated. This proposed fractal model has been validated using published experimental data, compared with previous models, and thus provides a physics-based theoretical model that can provide insight to geoscience and thermophysics studies on thermal conduction in porous media. (C) 2018 Elsevier Ltd. All rights reserved.

AB - Thermal conduction in porous media has received wide attention in science and engineering in the past decades. Previous models of the effective thermal conductivity of porous media contain empirical parameters typically with ambiguous or even no physical rationales. This study proposes a theoretical model of effective thermal conductivity in porous media with various liquid saturation based on the fractal geometry theory. This theoretical model considers geometrical parameters of porous media, including porosity, liquid saturation, fractal dimensions for both the granular matrix and liquid phases, and tortuosity fractal dimension of the liquid phase. Effects of these geometrical parameters on the effective thermal conductivity of porous media are also evaluated. This proposed fractal model has been validated using published experimental data, compared with previous models, and thus provides a physics-based theoretical model that can provide insight to geoscience and thermophysics studies on thermal conduction in porous media. (C) 2018 Elsevier Ltd. All rights reserved.

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KW - SELF-SIMILARITY

KW - HEAT-CONDUCTION

KW - PREDICTION

KW - TRANSPORT

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EP - 1156

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

ER -

A fractal model of effective thermal conductivity for porous media with various liquid saturation

Abstract

Bibliographical note

Keywords

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