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Asymptotic Solutions of Effective Thermal Conductivity of Particle-Laden Polymers

[+] Author Affiliations
P. Karayacoubian, M. Bahrami, J. R. Culham

University of Waterloo

Paper No. IMECE2005-82734, pp. 837-844; 8 pages
doi:10.1115/IMECE2005-82734
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Part A
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4221-5 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

A general predictive model for the effective thermal conductivity of mixtures is developed. In the limit of very small particle volume fractions, a limiting case is approached where the effective medium theory of Maxwell holds. At higher solid fractions, an analytical model for the conductivity of a packed bed of spheres is developed. These two limiting asymptotic solutions are then combined using a blending procedure. The result is a semi-analytical model that is valid over the full range of solid fractions. The model shows that in addition to the conductivities of the particle/matrix and the solid fraction, the degree of wetting of the particles by the matrix is an important parameter in estimating the effective thermal conductivity of the mixture. In addition, the effect of entrapped air is captured through the definition of an effective volume fraction in Maxwell’s model. The model shows good agreement with experimental data.

Copyright © 2005 by ASME

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