Non-Linear Effect of Volume Fraction of Inclusions on The Effective Thermal Conductivity of Composite Materials: A Modified Maxwell Model

In this paper, non-linear dependence of volume fraction of inclusions on the effective thermal conductivity of composite materials is investigated. Proposed approximation formula is based on the Maxwell's equation, in that a non-linear term dependent on the volume fraction of the inclusions and...

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Bibliographic Details
Published in:Open Journal of Composite Materials (Irvine, CA) CA), 2011-01, Vol.1 (1), p.10-18
Main Authors: Kumar, Sajjan, Bhoopal, R S, Sharma, P K, Beniwal, R S, Singh, Ramvir
Format: Article
Language:English
Subjects:
Approximation
Composite materials
Heat transfer
Inclusions
Mathematical models
Maxwell's equations
Nonlinearity
Thermal conductivity
Volume fraction
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Summary:In this paper, non-linear dependence of volume fraction of inclusions on the effective thermal conductivity of composite materials is investigated. Proposed approximation formula is based on the Maxwell's equation, in that a non-linear term dependent on the volume fraction of the inclusions and the ratio of the thermal conductivities of the polymer continuum and inclusions is introduced in place of the volume fraction of inclusions. The modified Maxwell's equation is used to calculate effective thermal conductivity of several composite materials and agreed well with the earlier experimental results. A comparison of the proposed relation with different models has also been made.
ISSN:2164-5612
2164-5655
DOI:10.4236/ojcm.2011.11002