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

Research output: Contribution to journalArticle

6 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 languageEnglish
Pages (from-to)1149-1156
Number of pages8
JournalInternational Journal of Heat and Mass Transfer
Volume128
Early online date24 Sep 2018
DOIs
Publication statusPublished - 31 Jan 2019

Keywords

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

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

A fractal model of effective thermal conductivity for porous media with various liquid saturation. / Qin, Xuan; Cai, Jianchao (Corresponding Author); Xu, Peng; Dai, Sheng; Gan, Quan.

In: International Journal of Heat and Mass Transfer, Vol. 128, 31.01.2019, p. 1149-1156.

Research output: Contribution to journalArticle

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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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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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