An extended irreversible thermodynamic modelling of size-dependent thermal conductivity of spherical nanoparticles dispersed in homogeneous media | Zendy

G. Lebon | Zendy; Hatim Machrafi | Zendy; Miroslav Grmela | Zendy

Open Access

An extended irreversible thermodynamic modelling of size-dependent thermal conductivity of spherical nanoparticles dispersed in homogeneous media

Author(s) -

G. Lebon,

Hatim Machrafi,

Miroslav Grmela

Publication year - 2015

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2015.0144

Subject(s) - thermal conductivity , nanoparticle , materials science , volume fraction , homogeneous , scattering , thermal , particle size , nanocomposite , dispersion (optics) , conductivity , thermodynamics , composite material , nanotechnology , optics , chemistry , physics

The effective thermal conductivity of nanocomposites constituted by nanoparticles and homogeneous host media is discussed from the point of view of extended irreversible thermodynamics. This formalism is particularly well adapted to the description of small length scales. As illustrations, dispersion of Si nanoparticles in Ge (respectively, SiO2 in epoxy resin) homogeneous matrices is investigated, the nanoparticles are assumed to be spherical with a wide dispersion. Four specific problems are studied: the dependence of the effective thermal conductivity on the volume fraction of particles, the type of phonon scattering at the interface particle–matrix, the radius of the nanoparticles and the temperature.

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