The discrepancy in the prediction of surface temperatures by inverse heat conduction models for different quenching processes from very high initial surface temperature

Abstract

In the current work, an attempt has been made to study the effect of different parameters on the accuracy of the prediction at a very high initial surface temperature by developing two different heat conduction models. The result depicts that MSSE (minimum sum squared error) in the prediction decreases with increasing number of sensors used in the prediction. The accuracy of the prediction enhances with decreasing plate thickness and distance between the thermocouple and quenched surface. Up to a cooling rate of 60 K/s, the selection of model dimension (1-D or 2-D) does not affect, but beyond the previously mentioned cooling rate, 2-D model induces less error than 1-D. Moreover, the inclusion of thermo-physical properties in the model reduces the error in the MSSE. By using Box–Behnken methodology, the optimum conditions (d/D = 0.81, n/Y = 0.5 and Y*/Y = 0.65) for the least MSSE have also been determined.