Numerical Software For The Inverse
Estimation Of The Temperature-dependent
Thermal Properties In Heat Conduction
Author(s)
J. Zueco & G. Monreal
Abstract
A software application has been developed for the numerical solution of inverse
problems in heat conduction. The developed software allows the estimation of
specific heat and thermal conductivity both individually and simultaneously –
temperature dependent – and allows application of a variety of boundary
conditions. The first step is to accurately estimate the starting point, then
estimate the thermophysical properties, presenting the solution by a linear
function of straight stretches. The input data is the temperature history at a
particular location of the solid. The iterative least-squares approach is used to
minimize the functional and in all cases a piecewise function is used to
approximate the solution. No prior information is used for the functional forms
of the unknown specific heat, because this problem is considered a function
estimation problem. In all the cases a piece-wise function is used to approximate
the solution. The Network Simulation Method is the numerical method used,
with a design of the network model made easy, with very few electric devices.
The software developed is used to run the network so that no mathematical
manipulations are required. The results confirm that it is possible to estimate the
thermophysical properties using experimental temperature history and a
procedure inverse. As regards the convergence of the solutions, no restrictions
concerning the time interval need to be imposed by the user.
Keywords: network model, inverse problem, non-linear thermal processing,
temperature dependent thermal properties.
Keywords
network model, inverse problem, non-linear thermal processing,
temperature dependent thermal properties.
Related Book
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