Abstracts Book - IMRC 2018

• SC6-P004
EFFECTIVE MEDIUM THEORY FOR CALCULATE THERMAL
CONDUCTIVITY IN SYSTEMS WITH ELLIPSOIDAL INCLUSIONS
Angela Camacho de la Rosa 1 , Raul Esquivel Sirvent 1
1 Instituto de Física - Universidad Nacional Autónoma de México, Chemical Physics, Mexico.
The effective thermal conductivity κ ef is calculated for homegeneus systems with
thermal conductivity κ m and ellipsoidal inclusions of κ i by using the Effective
Medium Theory. Usually the EMT is used in problems of electromagnetism but
also can be applied in problems of heat conduction because the partial
differential equation that model problems is the same at the stationary cases,
Laplaces equation. We employ ellipsoidal coordinates for solving the equation
and we generalized the depolarization coefficients to obtain κ ef trough the
approximation of Maxwell-Garnett, after is corrected using the Bruggeman
approximation. Finally we use both numerical expressions of κ ef in the case of
Epoxy resin with carbon inclusions and porous resin. This analysis shows that
we can modulate κ ef changing the heat flux direction and orientation of the
inclusions, oblates and prolates.
Keywords: heat conduction, Effective medium theory, Bruggeman
Presenting authors email: angela.84@ciencias.unam.mx