An inverse problem in estimation of interfacial heat transfer coefficient during two‐dimensional solidification of Al 5%Wt‐Si based on PSO

Abstract

PurposeThe purpose of this paper is to estimate interfacial heat transfer coefficient (IHTC) in a two‐dimensional solidification based on the particle swarm optimization (PSO) method.Design/methodology/approachThe proposed numerical technique is based on the PSO combined with finite different method (FDM) to simultaneously estimate heat transfer coefficient in the metal‐mold interface. In this paper, simulated (noisy and filtered) temperatures are used instead of experimental data. The estimated temperatures are obtained from the direct numerical solution (FDM) of the two‐dimensional solidification model and PSO is applied to minimize a least squares objective function containing estimated and simulated (noisy and filtered) temperatures.FindingsThe accuracy and capability of the PSO are assessed by comparing the estimated and the pre‐selected heat transfer coefficients. The results show that the measurement errors do not considerably affect the accuracy of the estimates. In other words, the proposed method provides a practical and confident prediction in simultaneously estimating the IHTCs.Research limitations/implicationsFuture approaches should find the optimal design of case study and then apply the proposed method to achieve the best results.Practical implicationsApplications of the results and the presented method in this paper can be of value in practical applications in parameter estimation for estimating the IHTCS.Originality/valueAn inverse estimation of IHTC in a two‐dimensional solidification has been made based on PSO algorithm for a practical case of Al 5% Wt‐Si.