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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 54, 2008 - Issue 7
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Original Articles

Two-Dimensional Inverse Heat Transfer Analysis of Functionally Graded Materials in Estimating Time-Dependent Surface Heat Flux

M. R. Golbahar Haghighi Department of Mechanical Engineering, School of Engineering, Persian Gulf University, Bushehr, Iran
,
M. Eghtesad Department of Mechanical Engineering, School of Engineering, Shiraz University, Shiraz, IranCorrespondence[email protected]
,
P. Malekzadeh Department of Mechanical Engineering, School of Engineering, Persian Gulf University, Bushehr, Iran
&
D. S. Necsulescu Department of Mechanical Engineering, Faculty of Engineering, University of Ottawa, Ottawa, Ontario, Canada
Pages 744-762 | Received 01 Oct 2007, Accepted 23 Jun 2008, Published online: 12 Sep 2008
 
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Abstract

Two-dimensional transient inverse heat conduction problem (IHCP) of functionally graded materials (FGMs) is studied herein. A combination of the finite element (FE) and differential quadrature (DQ) methods as a simple, accurate, and efficient numerical method for FGMs transient heat transfer analysis is employed for solving the direct problem. In order to estimate the unknown boundary heat flux in solving the inverse problem, conjugate gradient method (CGM) in conjunction with adjoint problem is used. The results obtained show good accuracy for the estimation of boundary heat fluxes. The effects of measurement errors on the inverse solutions are also discussed.

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