An Adaptive Inverse Heat Conduction Method With Automatic Control

[+] Author and Article Information
G. P. Flach, M. N. Özişik

Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, NC 27695-7910

J. Heat Transfer 114(1), 5-13 (Feb 01, 1992) (9 pages) doi:10.1115/1.2911268 History: Received September 12, 1989; Revised August 31, 1990; Online May 23, 2008


An adaptive sequential method is presented for solving the one-dimensional inverse heat conduction problem. The step size, order of parameterization, and amount of the step retained are variable and chosen automatically for each sequence such that optimal, stable results are obtained. A statistical analysis accounting for the stochastic error contributions from both the measured and initial temperatures is derived. Results from the statistical analysis are used to predict stability or instability for a given selection of parameters controlling the inverse method. Simulated experimental applications using inexact data illustrate the practicality of the approach and the effectiveness of the automatic control criteria.

Copyright © 1992 by The American Society of Mechanical Engineers
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