INFLUENCE OF SENSOR CALIBRATION UNCERTAINTY IN THE INVERSE HEAT CONDUCTION PROBLEM (IHCP)

In the inverse heat conduction problem (IHCP) of finding the temperature-dependent thermophysical properties of materials, the evaluation of the confidence region of the unknown functions is at least as important as the numeric values of the function itself. The uncertainty of the reconstructed prop...

Full description

Saved in:
Bibliographic Details
Published in:Numerical heat transfer. Part B, Fundamentals Fundamentals, 1999-12, Vol.36 (4), p.457-474
Main Author: Milano, F. Scarpa, G.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat conduction
Heat transfer
Physics
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In the inverse heat conduction problem (IHCP) of finding the temperature-dependent thermophysical properties of materials, the evaluation of the confidence region of the unknown functions is at least as important as the numeric values of the function itself. The uncertainty of the reconstructed properties arises from various disturbances affecting the measurement instrumentation and from an imprecise mathematical description of the experiment. The aim of this work is to consider, besides the effect of random noises superposed onto the signals, the bias arising from the calibration of the sensors. By conceiving the calibration process as an integral part of the experiment it is possible to quantify the effect of the above bias and to obtain better estimates and correct confidence regions for the reconstructed properties.
ISSN:1040-7790
1521-0626
DOI:10.1080/104077999275622