Inverse analysis of temperature-time data with grossly different time scales using Beck`s second method and the Frankel-Keyhani whole-domain technique
Description: In general, inverse heat conduction analysis utilizes the measured temperature history at one or more internal locations to estimate unknown boundary conditions, energy generation rates, or thermophysical properties. Analysis of these data using conventional numerical heat transfer techniques yields numerically unstable solutions; that is, small perturbations in the input data can produce large variations and instabilities in the output. Previous attempts to overcome this inherent instability have involved the utilization of future information and Tikhonov regularization techniques (Beck et al, 1985). In the 1970`s and 80`s, Beck and coworkers developed a family of techniques that overcome this obstacle by relating the surface property at any time in the transient to temperatures measured after that time in the transient (Beck, 1970, Beck et al, 1982). That is, future information is used to determine present conditions. For many purposes, these techniques are the standard analysis tools. An alternative approach has been developed recently by Frankel and Keyhani (1997). This approach utilizes a whole domain form in which the entire space-time domain of interest is simultaneously resolved; the traditional instability occurs only near the final time endpoint and can be excluded from the resulting solution. Rapid convergence and accurate results have been demonstrated using this approach. Two sets of time-temperature data have been analyzed using both of these techniques.
Date: November 1, 1998
Creator: Park, J.E.; Frankel, J.I.; Keyhani, M. & Osborne, G.E.
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