An Inverse BEM-based Heat Conduction
Approach To Identify Surface Temperatures
Author(s)
A. Kassab, E.Divo, M. Chyu & F. Cunha
Abstract
The purpose of the inverse problem considered in this study is to solve a steadystate
two-dimensional heat conduction problem with ill-posed boundary conditions
arising from the determination of unknown surface temperature distributions
at an inaccessible surface exposed to convection. Temperaturemeasurements
supply the additional information that renders the problem solvable. The measurements
are taken from thermocouples placed at the interior of a heat spreader
whose backsurface is insulated. It is assumed that the contact resistance between
the heater and the solid body is measured and known. A regularized quadratic
functional is defined to measure the deviation of computed temperatures from the
values under current estimates of the surface temperatures. The inverse problem is
solved by minimizing this functional using a parallelized genetic algorithm (PGA)
as the optimization algorithm and a two-dimensional multi-region boundary element
method (BEM) heat conduction code as the field variable solver.
1 Introduction
In this paper, we consider the reconstruction of temperature distribution at inaccessible
surfaces subjected to convection. An inverse problem method that relies
on internal temperature measurements taken close to that surface is formulated in
order to resolve the unknown surface temperature distribution using a steady-state
approach. A regularized quadratic functional is defined to measure the deviation of
computed temperatures at the measuring points from their measured values under
Keywords
Related Book
Other papers in this volume
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