Boundary Identification for a Blast Furnace*

Abstract

In this paper, the authors discuss an inverse boundary problem for the axi-symmetric steady-state heat equation, which arises in monitoring the boundary corrosionfor the blast-furnace. Measure temperature at some locations are used to identify the shapeof the corrosion boundary.

The numerical inversion is complicated and consuming since the wear-line varies duringthe process and the boundary in the heat problem is not fixed. The authors suggest amethod that the unknown boundary can be represented by a given curve plus a smallperturbation, then the equation can be solved with fixed boundary, and a lot of computingtime will be saved.

A method is given to solve the inverse problem by minimizing the sum of the squaredresidual at the measuring locations, in which the direct problems are solved by axi-symmetric fundamental solution method.

The numerical results are in good agreement with test model data as well as industrialdata, even in severe corrosion case.

Keywords

Inverse problem / Axi-Symmetric fundamental solution / Perturbationmethod / 11R70 / 11R11 / 11R27

References

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