Solution of One-Dimensional Inverse Heat Conduction Problem Using Extended Kalman Filter Approach

This paper presents a one-dimensional inverse heat transfer procedure for predicting the time–varying heat fluxon the surface of a copper slab. Inverse radiation–conduction problems were analyzed using a Kalman filter coupledwith a recursive least–square estimator (KF–RLSE). Since its unique capability to make fast predictions, KF–RLSE canbe easily integrated to existing real–time control systems of industrial facilities. The performance of KF–RLSE wasexamined thoroughly in a series of numerical simulations to extract the time–varying surface heat flux on–line from themeasured temperature history at boundary. Results showed that the proposed method can predict the unknown boundaryflux with an acceptable error.

Keywords:

Inverse heat conduction , Kalman filter , Recursive least–square estimator , Finite difference method