Next Article in Journal
Wind Energy Potential of Gaza Using Small Wind Turbines: A Feasibility Study
Next Article in Special Issue
Internal Force Response of a Pile in an Inhomogeneous Temperature Field
Previous Article in Journal
An All-Electric-Aircraft Tailored SiC-Based Power Factor Correction Converter with Adaptive DC-Link Regulator
Article Menu
Issue 8 (August) cover image

Export Article

Open AccessArticle
Energies 2017, 10(8), 1230; doi:10.3390/en10081230

Heat Conduction in Porous Media Characterized by Fractal Geometry

Jiangsu Key Laboratory of Micro and Nano Heat Fluid Flow Technology and Energy Application, School of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, China
Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, Jiangsu, China
School of Hydraulic, Energy and Power Engineering, Yangzhou University, Yangzhou 225127, Jiangsu, China
Authors to whom correspondence should be addressed.
Academic Editor: Francesco Calise
Received: 7 July 2017 / Revised: 14 August 2017 / Accepted: 15 August 2017 / Published: 18 August 2017
(This article belongs to the Special Issue Geothermal Heating and Cooling)
View Full-Text   |   Download PDF [4338 KB, uploaded 18 August 2017]   |  


Fractal geometry (fractional Brownian motion—FBM) is introduced to characterize the pore distribution of porous material. Based on this fractal characterization, a mathematical model of heat conduction is presented to study heat conduction behaviors in porous material with a focus on effective thermal conductivity. The role of pore structure on temperature distribution and heat flux is examined and investigated for fractal porous material. In addition, the effects of fractal dimension, porosity, and the ratio of solid-matrix-to-fluid-phase thermal conductivity (ks/kf) on effective thermal conductivity are evaluated. The results indicate that pore structure has an important effect on heat conduction inside porous material. Increasing porosity lowers thermal conductivity. Even when porosity remains constant, effective thermal conductivity is affected by the fractal dimensions of the porous material. For porous material, the heat conduction capability weakens with increased fractal dimension. Additionally, fluid-phase thermal conduction across pores is effective in porous material only when ks/kf < 50. Otherwise, effective thermal conductivity for porous material with a given pore structure depends primarily on the thermal conductivity of the solid matrix. View Full-Text
Keywords: heat conduction; thermal conductivity; porous material; fractal heat conduction; thermal conductivity; porous material; fractal

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Deng, Z.; Liu, X.; Huang, Y.; Zhang, C.; Chen, Y. Heat Conduction in Porous Media Characterized by Fractal Geometry. Energies 2017, 10, 1230.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Energies EISSN 1996-1073 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top