Author(s)

T. P. Fredman

Abstract

Identification of boundary movement from internal measurements T. P. Fredman Heat Engineering Laboratory, Abo Akademi University, Finland Abstract We study boundary movement identification in inverse heat conduction, on the basis of data from internal measurement of temperature and heat flux. Formulated as a sideways heat conduction equation, the problem is treated by a spatial continuation technique to extend the solution to a known boundary condition at the desired boundary position. Recording the positions traversed in the continuation for each time instant yields the boundary position trajectory and hence the solution of the identification problem. As the problem is ill-posed, a hyperbolic approximation approach is used to regularize the computation and recast the equations into a form suited to analysis. A prospective application of the method can be found in the ironmaking blast furnace, where it is desired to monitor the thickness of the accreted refractory wall based on measurement of i

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