An effective thermal conductivity model for fractal porous media with rough surfaces

被引:1
作者
Qin X. [1 ,2 ]
Zhou Y. [2 ]
Sasmito A.P. [3 ]
机构
[1] Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan
[2] School of Engineering, University of Aberdeen, Aberdeen
[3] Department of Mining and Materials Engineering, McGill University, 3450 University Street, Montreal, H3A0E8, QC
来源
Advances in Geo-Energy Research | 2019年 / 3卷 / 02期
基金
中国国家自然科学基金;
关键词
Effective thermal conductivity; Fractal; Porous media; Rough surfaces;
D O I
10.26804/ager.2019.02.04
中图分类号
学科分类号
摘要
Quantitative evaluation of the effective thermal conductivity of porous media has received wide attention in science and engineering since it is a key thermophysical parameter in characterizing heat transfer properties. Based on fractal characters of tortuous capillary tubes and rough surfaces in micro-pores, we proposed a theoretical model of the effective thermal conductivity in porous media with rough surfaces. This model considers the geometrical parameters of porous media, including porosity, micro-pore fractal dimension, tortuosity fractal dimension, and relative roughness. The calculated normalized effective thermal conductivity was then validated against published experimental data. The results show good agreement between them. The influence of geometrical factors, porosity and relative surface roughness, on the effective thermal conductivity in porous media with rough surfaces are discussed and analyzed extensively. © The Author(s) 2019.
引用
收藏
页码:149 / 155
页数:6
相关论文
共 46 条
[1]  
Askari R., Hejazi S.H., Sahimi M., Effect of deformation on the thermal conductivity of granular porous media with rough grain surface, Geophys. Res. Lett, 44, 16, pp. 8285-8293, (2017)
[2]  
Behrang A., Taheri S., Kantzas A., A hybrid approach on predicting the effective thermal conductivity of porous and nanoporous media, Int. J. Heat Mass Transf, 98, pp. 52-59, (2016)
[3]  
Cai J., Hu X., Standnes D.C., Et al., An analytical model for spontaneous imbibition in fractal porous media including gravity, Colloid Surf. A-Physicochem. Eng, 414, pp. 228-233, (2012)
[4]  
Cai J., Perfect E., Cheng C., Et al., Generalized modeling of spontaneous imbibition based on Hagen-Poiseuille flow in tortuous capillaries with variably shaped apertures, Langmuir, 30, 18, pp. 5142-5151, (2014)
[5]  
Cai J., Yu B., Zou M., Et al., Fractal analysis of surface roughness of particles in porous media, Chin. Phys. Lett, 27, 2, pp. 157-160, (2010)
[6]  
Carson J.K., Lovatt S.J., Tanner D.J., Et al., Thermal conductivity bounds for isotropic, porous materials, Int. J. Heat Mass Transf, 48, 11, pp. 2150-2158, (2005)
[7]  
Chen Y., Zhang C., Role of surface roughness on thermal conductance at liquid-solid interfaces, Int. J. Heat Mass Transf, 78, pp. 624-629, (2014)
[8]  
Clarkson C.R., Solano N., Bustin R.M., Et al., Pore structure characterization of North American shale gas reservoirs using USANS/SANS, gas adsorption, and mercury intrusion, Fuel, 103, 1, pp. 606-616, (2013)
[9]  
Clauser C., Heat transport processes in the Earth’s crust, Surv. Geophys, 30, 3, pp. 163-191, (2009)
[10]  
Dai S., Cha J.H., Rosenbaum E.J., Et al., Thermal conductivity measurements in unsaturated hydrate-bearing sediments, Geophys. Res. Lett, 42, 15, pp. 6295-6305, (2015)