Browse > Article
http://dx.doi.org/10.5467/JKESS.2011.32.6.629

A New Structural Model for Predicting Effective Thermal Conductivity of Variably Saturated Porous Materials  

Cha, Jang-Hwan (Department of Geoenvironmental Sciences, Kongju National University)
Koo, Min-Ho (Department of Geoenvironmental Sciences, Kongju National University)
Keehm, Young-Seuk (Department of Geoenvironmental Sciences, Kongju National University)
Publication Information
Journal of the Korean earth science society / v.32, no.6, 2011 , pp. 629-639 More about this Journal
Abstract
Based on Maxwell-Eucken(ME) model, which is one of structural models, a new model for predicting the effective thermal conductivity of variably saturated porous materials is proposed. The new model is a linear combination of three ME models having matrix, water, and air as a continuous phase. The coefficient of the corresponding linear equation is defined by a parameter referred to as 'the continuity coefficient', which provides a relative degree of continuity of each phase. The continuity coefficient of matrix is assumed to be linearly proportional to porosity. The model can be linear or nonlinear depending on how the continuity coefficients of water and air vary with water saturation. The feasibility of the proposed model was examined by both numerical and experimental results. Both linear and nonlinear models showed a high accuracy of prediction with $R^2$ values of 0.86-0.98 and 0.88-0.99, respectively. The numerical and experimental results also showed that the continuity coefficient of matrix was linearly proportional to porosity. Therefore, the proposed prediction model can be effectively used to estimate effective thermal conductivity of unsaturated porous materials by measuring porosity, water content and mineralogical compositions of matrix.
Keywords
effective thermal conductivity; structural models; prediction model; heat transfer simulation; continuity coefficient;
Citations & Related Records
Times Cited By KSCI : 8  (Citation Analysis)
연도 인용수 순위
1 Mattea, M., Urbicain, M.J., and Rotstein, E., 1986, Prediction of thermal conductivity of vegetable foods by the effective medium theory. Journal of Food Science, 51, 113-115.   DOI
2 Maxwell, J.C., 1954, A treatise on electricity and magnetism. Dover Publications Inc., NY, USA, 500 p.
3 Presley, M.A. and Christensen, P.R., 1997, Thermal conductivity measurements of particulate materials: 2. Result. Journal of Geophycal Research, 102, 6551-6566.   DOI
4 Singh, D.N. and Devid, K., 2000, Generalized relationships for estimating soil thermal resistivity. Experimental Thermal and Fluid Science, 22, 133-143.   DOI
5 Usowicz, B., Lipiec, J., and Ferrero, A., 2006, Prediction of soil thermal conductivity based on penetration resistance and water content or air-filled porosity. International Journal of Heat and Mass Transfer, 49, 5010-5017.   DOI
6 Wang, J., Carson, J.K., North, M.F., and Cleland, D.J., 2006, A new approach to modelling the effective thermal conductivity of heterogeneous materials. International Journal of Heat and Mass Transfer, 49, 3075- 3083.   DOI
7 Wang, J., Carson, J.K., North, M.F., and Cleland, D.J., 2008, A new structural model of effective thermal conductivity for heterogeneous materials with co-continuous phases. International Journal of Heat and Mass Transfer, 51, 2389-2397.   DOI
8 Gori, F. and Corasaniti, S., 2003, Experimental measurements and theoretical prediction of the thermal conductivity of two- and three-phase water/olivine systems. International Journal of Thermophysics, 24, 1339-1353.   DOI
9 Hill, M.C., 1990, Preconditioned conjugate-gradient 2 (PCG2), A computer program for solving groundwater flow equations. US Geological Survey Water-Resources Investigations Report, 90-4048, 43 p.
10 Hinkel, K.M., 1997, Estimating seasonal values of thermal diffusivity in thawed and frozen soils using temperature time series. Cold Regions Science and Technology, 26, 1-15.   DOI
11 Hinkel, K.M., Outcalt, S.I., and Nelson, F.E., 1990, Temperature variation and apparent thermal diffusivity in the refreezing active layer, Toolik Lake, Alaska. Permafrost Periglacial Process, 1, 265-274.   DOI
12 Keehm, Y., Mukerji, T., and Nur, A., 2004, Permeability prediction from thin sections: 3D reconstruction and lattice- Boltzmann flow simulation. Geophysical Research Letters, 31, L04606.
13 Lu, S., Ren, T., Gong, Y., and Horton, R., 2007, An improved model for predicting soil thermal conductivity from water content at room temperature. Soil Science Society of America Journal, 71, 8-14.   DOI
14 Keehm, Y., Sternlof, K., and Mukerji, T., 2006, Computational estimation of compaction band permeability in sandstone. Geosciences Journal, 10, 499-505.   과학기술학회마을   DOI
15 Kersten, M.S., 1949, Laboratory research for the determination of the thermal properties of soils. Research laboratory Investigations, Engineering Experiment Station, Technical Report 23, University of Minnesota, Minneapolis, Minn, USA, 235 p.
16 Ladd, A., 1994, Numerical simulation of particulate suspensions via a discretized Boltzmann equation: Part 1. Theoretical foundation. Journal of Fluid Mechanics, 271, 285-309.   DOI
17 조원진, 이재완, 권상기, 2010, 고준위폐기물처분장 완충재 및 뒷채움재의 열전도도 예측을 위한 관계식. 터널과 지하공간, 20, 284-291.   과학기술학회마을
18 차장환, 구민호, 김영석, 2010, 구조모델을 이용한 다공성 매질의 유효열전도도 분석. 지하수토양환경, 15, 91-98.   과학기술학회마을
19 차장환, 구민호, 김영석, 이영민, 2011, 구조모델을 이용한 암석의 유효열전도도 분석. 자원환경지질, 44, 171-180.   과학기술학회마을   DOI
20 차장환, 안선준, 구민호, 김형찬, 송윤호, 서명석, 2008, 토양의 공극률 및 함수비가 열전도도에 미치는 영향. 지하수토양환경, 13, 27-36.   과학기술학회마을
21 Carson, J.K., 2006, Review of effective thermal conductivity models for foods. International Journal of Refrigeration, 29, 958-967.   DOI
22 Clauser, C. and Huenges, E., 1995, Thermal conductivity of rocks and minerals. American Geophysical Union, 105-126.
23 Carson, J.K., Lovatt, S.J., Tanner, D.J., and Cleland, A.C., 2003, An analysis of the influence of material structure on the effective thermal conductivity of theoretical porous materials using finite element simulations. International Journal of Refrigeration, 26, 873-880.   DOI
24 Carson, J.K., Lovatt, S.J., Tanner, D.J., and Cleland, A.C., 2005, Thermal conductivity bounds for isotropic, porous materials. International Journal of Heat and Mass Transfer, 48, 2150-2158.   DOI
25 Carson, J.K., Lovatt, S.J., Tanner, D.J., and Cleland, A.C., 2006, Predicting the thermal conductivity of unfrozen, porous food. Journal of Food Engineering, 75, 297-307.   DOI
26 유건상, 2010, 이산화탄소 주입에 따른 암석의 물성변화 수치모델링. 공주대학교 석사학위논문, 64 p.
27 김형찬, 이사로, 송무영, 2004, 남한지역 지질특성과 지열류량의 상호 관련성. 자원환경지질, 37, 391-400.   과학기술학회마을
28 박정민, 김형찬, 이영민, 심병완, 송무영, 2009, 한국의 암석 열물성. 자원환경지질, 42, 591-598.   과학기술학회마을
29 손병후, 2008, 지중열교환기 뒤채움재로 사용되는 모래-물혼합물의 열전도도 예측. 설비공학논문집, 20, 614-623.   과학기술학회마을