An extended thermodynamic model for size-dependent thermoelectric properties at nanometric scales: Application to nanofilms, nanocomposites and thin nanocomposite films

Machrafi, Hatim

doi:10.1016/j.apm.2015.09.044

Article (Scientific journals)

An extended thermodynamic model for size-dependent thermoelectric properties at nanometric scales: Application to nanofilms, nanocomposites and thin nanocomposite films

Machrafi, Hatim

2016 • In Applied Mathematical Modelling, 40 (3), p. 2143-2160

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/216171

DOI
10.1016/j.apm.2015.09.044

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Keywords :

Extended irreversible thermodynamics; Figure of merit; Nanometric scale; Phonon and electron scattering; Thermoelectric properties; Electron scattering; Electrons; Heat transfer; Interfaces (materials); Nanocomposites; Particle size; Phonons; Seebeck coefficient; Thermodynamics; Thermoelectric equipment; Thermoelectricity; Figure of merits; Particle size and surfaces; Particle-matrix interface; Phonon thermal conductivity; Thermoelectric performance; Nanocomposite films

Abstract :

[en] A new mathematical model is developed, describing size-dependent subcontinuum thermoelectric properties from an extended thermodynamic point of view. This model takes into account the non-local effects of heat transfer through phonons and electrons that are important at nanometric scales. These phenomena are extended to apply also for electric transfer as well as the Seebeck coefficient. This model includes at nanoscale size-dependent electron and phonon thermal conductivities, electric conductivity, Seebeck coefficient and carrier concentrations. We compared nanofilms to nanocomposites and assessed their thermoelectric performances in the form of a figure of merit using as an example Bismuth and BismuthTelluride materials. It appeared that the figure of merit increases considerably for nanofilms and nanocomposites with respect to bulk materials. This is caused by the scattering of phonons and electrons. Our model shows that this scattering effect is not only present at the boundary or particle-matrix interface of the nanosized material, but also within it. The effect of particle size and surface specularity has been investigated, showing that a decreasing value of the particle size and specularity increases the scattering effect and improves the thermoelectric properties. An extension towards thin films of nanocomposite has been presented. © 2015.

Disciplines :

Materials science & engineering

Author, co-author :

Machrafi, Hatim ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles

Language :

English

Title :

An extended thermodynamic model for size-dependent thermoelectric properties at nanometric scales: Application to nanofilms, nanocomposites and thin nanocomposite films

Publication date :

2016

Journal title :

Applied Mathematical Modelling

ISSN :

0307-904X

eISSN :

1872-8480

Publisher :

Elsevier Inc.

Volume :

Issue :

Pages :

2143-2160

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 17 November 2017

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