This work presents a comparative study of two alternative procedures for the estimation of surface temperature of a heated body from transient interior temperature measurements. This Inverse Heat Conduction Problem (IHCP) is solved (in both procedures) by using the Function Specification Method. A numerical test was used in order to compare the best estimation achieved in each procedure. The influences of the time step size, the total number of measurements and the noise level in the measurement have been considered in the estimation. Two criteria (minimization of total error and residual principle  are used to choose the best hyper-parameter (r). The comparisons confirm that the procedures and criteria used provide similar results, nevertheless this study reveals slight differences with respect to the accurate and the CPU time.
Comparison of Two Procedures for the Estimation of Surface Temperature History Using Function Specification Method
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division February 26, 2002; revision received November 19, 2003. Associate Editor: G. S. Dulikravich.
Corz , A., Gutie´rrez , J. M., and Martı´n , J. A. (June 16, 2004). "Comparison of Two Procedures for the Estimation of Surface Temperature History Using Function Specification Method ." ASME. J. Heat Transfer. June 2004; 126(3): 475–479. https://doi.org/10.1115/1.1738420
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