Novel approach for identification of the thermal resistance of the gas-gap between the ingot and mould in the continuous casting of metals

The identification of thermal resistance of the gas-gap between the ingot and mould during continuous casting of metals is the subject of presented paper. Analysed parameter estimation problem of the steady-state heat conduction belongs to the group of inverse problems. Presented work shows the possibility of applying of the least square adjustment method with a priori data for identification of thermal resistance as well as the phase change location and the temperature field within the ingot and mould. The most important feature of the approach is that the unknown thermal resistance is obtained from the temperature measurements at the number of sensors located in the wall of the mould by solving appropriate inverse problem. Location of the sensors is based on sensitivity analysis. The vahdity of the solution of the inverse problem is checked by comparison with the results of direct problem. Several numerical examples are presented and analysed.