An Inverse Heat Conduction Problem in Estimating Surface Heat Flux by Bregman Regularization Method

摘要

Flow of a molten polymer within the confining walls of a mold during injection molding is a complex phenomenon. The complexity stems from various sources: transient process, material nature, thermal effect, phase change, shrinkage, among others. Numerical simulation of this type of flow is very helpful in optimizing the mold design and processing conditions, but generally lacks appropriate estimation of the heat flux that is characteristic of the heat transfer across the interface between the polymer and moldcavity. In this work, we aim to estimate the heat flux between polymer and mold through the cooling phase of a typical injection-molding cycle. In the present study an inverse heat conduction problem is solved using the proposed Bregman regularization method (BRM) to estimate the unknown boundary heat flux in any irregular domain. The proposed method does not only have wide applications and good capability of noise-resistance, but also illustrates that proposed method poses higher convergence speed and larger convergence zone. Results obtained by using the BRM are justified by numerical experiments.