ESTIMATION OF THERMAL CONDUCTIVITY OF POROUS MATERIAL WITH FEM AND FRACTAL GEOMETRY

Shouju Li (), Yuefang Wang (), Yingxi Liu () and Wei Sun ()
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Shouju Li: State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
Yuefang Wang: State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
Yingxi Liu: State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
Wei Sun: School of Mechanical Engineering, Dalian University of Technology, Dalian 116024, China

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 04, 513-526

Abstract: The relationship between thermal conductivity of porous material and fractal dimension is numerically simulated by using the finite element method. The solid matrix and pore space are generated randomly according to material porosity. Material parameters and element properties are changed by using ANSYS parameter design language. The effective thermal conductivity is derived according to thermal flux through some sections computed by FEM and Fourier heat transform law. The investigation shows that the effective thermal conductivity decreases with increasing porosity. The effective thermal conductivity will decrease exponentially with increasing fractal dimension of porosity space and increase exponentially with increasing fractal dimension of solid matrix.

Keywords: Porous material; effective thermal conductivity; fractal dimension; random numerical simulation; FEM; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109013789

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