An inverse problem in estimation of interfacial heat transfer coefficient during two‐dimensional solidification of Al 5%Wt‐Si based on PSO
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 4 May 2012
Abstract
Purpose
The 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/approach
The 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.
Findings
The 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/implications
Future approaches should find the optimal design of case study and then apply the proposed method to achieve the best results.
Practical implications
Applications 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/value
An 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.
Keywords
Citation
Dousti, P., Ranjbar, A.A., Famouri, M. and Ghaderi, A. (2012), "An inverse problem in estimation of interfacial heat transfer coefficient during two‐dimensional solidification of Al 5%Wt‐Si based on PSO", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 4, pp. 473-490. https://doi.org/10.1108/09615531211215765
Publisher
:Emerald Group Publishing Limited
Copyright © 2012, Emerald Group Publishing Limited