An inverse heat conduction problem and an application to heat treatment of aluminium

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Berntsson, FredrikLinköpings universitet,Matematiska institutionen,Tekniska högskolan (författare)

We consider an inverse heat conduction problem, the sideways heat equation, which is a model of a problem where one wants to determine the temperature on the surface of a body using internal measurements. The problem is ill-posed in the sense that the solution does not depend continuously on the data. We discuss the nature of the ill-posedness as well as methods for restoring stability with respect to measurement errors.Successful heat treatment requires good control of the temperature and cooling rates during the process. In an experiment a aluminium block, of the alloy AA7010, was cooled rapidly by spraying water on one surface. Thermocouples inside the block recorded the temperature, and we demonstrate that it is possible to find the temperature distribution in the region between the thermocouple and the surface, by solving numerically the sideways heat equation.

Eldén, LarsLinköpings universitet,Matematiska institutionen,Tekniska högskolan(Swepub:liu)larel04 (författare)
Linköpings universitetMatematiska institutionen (creator_code:org_t)

Ingår i:Inverse Problems in Engineering Mechanics II, s. 99-1069780080436937008053516X

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