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THEORETICAL-EXPERIMENTAL ANALYSIS OF HEAT TRANSFER IN NANOCOMPOSITES VIA INTEGRAL TRANSFORMS AND INFRARED THERMOGRAPHY

DOI: 10.1615/ICHMT.2011.TMNN-2011.20
page 8

Diego C. Knupp
Polytechnique Institute, State University of Rio de Janeiro, Brazil

J. V. C. Ayres
Universidade Federal do Rio de Janeiro - COPPE & POLI, UFRJ, Mechanical Engineering Department - Laboratory of Transmission and Technology of Heat, Cx. Postal 68503, Rio de Janeiro, RJ, 21945-970, Brasil

Carolina Palma Naveira-Cotta
Laboratory of Nano- and Microfluidics and Microsystems, LabMEMS, Mechanical Engineering Department and Nanotechnology Engineering Dept., POLI & COPPE, Universidade Federal do Rio de Janeiro, Cidade Universitária, Cx. Postal 68503, Rio de Janeiro, RJ, CEP 21945-970, Brazil; Mechanical Engineering Department, University College London, UCL, United Kingdom

Helcio R. B. Orlande
Department of Mechanical Engineering and Oncobiology Program, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

Renato M. Cotta
Laboratory of Nano- and Microfluidics and Microsystems, LabMEMS, Mechanical Engineering Department and Nanotechnology Engineering Dept., POLI & COPPE, Universidade Federal do Rio de Janeiro, Cidade Universitária, Cx. Postal 68503, Rio de Janeiro, RJ, CEP 21945-970, Brazil; Interdisciplinary Nucleus for Social Development—NIDES/CT, UFRJ, Brazil; Mechanical Engineering Department, University College London, UCL, United Kingdom

Abstract

Theoretical and experimental methodologies for the identification of spatially variable thermophysical properties are illustrated by using samples of nanocomposites of alumina oxide nanoparticles dispersed in a polymeric matrix. First the heterogeneous nanocomposite plate is thermally characterized by means of a fairly simple experimental setup which can be modeled by a one-dimensional heat conduction formulation with space variable properties. Temperature measurements are obtained via infrared thermography, the direct problem is handled by an error-controlled integral transform solution, and the inverse analysis is undertaken via Bayesian inference (MCMC method). Then, in order to illustrate a practical application of the methodologies here presented, we also show some results in which a small electrical resistance is attached to the plate, simulating an electronic device installed on the nanocomposite substrate, which in such situation works as a heat spreader modeled by a two-dimensional heat conduction formulation.

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