Research Papers

Inverse Problems in Heat Transfer: New Trends on Solution Methodologies and Applications

[+] Author and Article Information
Helcio R. B. Orlande

Department of Mechanical Engineering, Escola Politécnica/COPPE,  Federal University of Rio de Janeiro, UFRJ, Rio de Janeiro, RJ, Brazil, e-mail: helcio@mecanica.ufrj.br

J. Heat Transfer 134(3), 031011 (Jan 13, 2012) (13 pages) doi:10.1115/1.4005131 History: Received July 12, 2010; Revised January 21, 2011; Published January 13, 2012; Online January 13, 2012

Systematic methods for the solution of inverse problems have developed significantly during the past two decades and have become a powerful tool for analysis and design in engineering. Inverse analysis is nowadays a common practice in which teams involved with experiments and numerical simulation synergistically collaborate throughout the research work, in order to obtain the maximum of information regarding the physical problem under study. In this paper, we briefly review various approaches for the solution of inverse problems, including those based on classical regularization techniques and those based on the Bayesian statistics. Applications of inverse problems are then presented for cases of practical interest, such as the characterization of nonhomogeneous materials and the prediction of the temperature field in oil pipelines.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 1

(a) Exact thermal diffusivity distribution and (b) exact distribution of the source term (G)

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Figure 2

(a) Estimated thermal diffusivity distribution and (b) estimated distribution of the source term (G)

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Figure 3

(a) Temperature evolutions with time for different vertical positions and (b) time evolution of the first ten transformed experimental temperatures

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Figure 4

Comparison of experimental (dashed black) and calculated (continuous gray) temperatures

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Figure 5

Exact and predicted dimensionless temperature distribution



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