An inverse heat conduction problem of estimating the multiple heat sources for mould heating system of the injection machine

Presented in this article is a research on the estimation of multiple heat sources for the mould heating system of the injection machine. Firstly, we studied the heat transfer mechanism and established a coupling mathematical model of the internal temperature fields of BMC curing reaction, and controllable external temperature fields for the mould heating system are established. Then, we derived an optimisation algorithm of multisource inverse heat conduction, employing the linear heat conduction superposition principle along with the square norm. An experiment was designed to measure the temperature field of the mould, which served as the input data of the inversion algorithm. However, there were two problems with the measured temperature field: low heating efficiency and uneven temperature distributions. Realising that, the heating process was improved; and based on that, the heat source strength function of the mould heating system was inversed. We further carried out a numerical simulation to verify the estimation results, which showed that both the heating efficiency and the temperature distributions of the mould temperature filed were significantly improved and they had met the industry requirements. Finally, we performed a separate experiment to measure the mould temperature field. Our experimental data agree well with the simulation, indicating the proposed inversion method was reliable and stable.