Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/16999
Title: Effective thermal conductivity of graded nonlinear composites with heat contact resistance
Authors: Wei, EB
Poon, YM
Keywords: Effective thermal conductivity
Graded composite
Nonlinear composite
Issue Date: 2006
Publisher: Elsevier Science Bv
Source: Physics letters, section a : general, atomic and solid state physics, 2006, v. 359, no. 6, p. 685-692 How to cite?
Journal: Physics Letters, Section A: General, Atomic and Solid State Physics 
Abstract: The perturbation expansion method is used to find the effective thermal conductivity of graded nonlinear composites having thermal contact resistance on the inclusion surface. As an example, we have studied the graded composites with cylindrical inclusions immersed in a homogeneous matrix. The thermal conductivity of the cylindrical inclusion is assumed to have a power-law profile of the radial distance r measured from its origin. For weakly nonlinear constitutive relations between the heat flow density q and the temperature field T, namely, q = - μ ∇ T - χ | ∇ T | 2 ∇ T, in both the inclusion and the matrix regions, we have derived the temperature distributions using the perturbation expansion method. A nonlinear effective medium approximation of graded composites is proposed to estimate the effective linear and nonlinear thermal conductivities, by considering the temperature singularity on the inclusion surface due to the heat contact resistance.
URI: http://hdl.handle.net/10397/16999
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2006.07.023
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