Estimation of Heat Transfer Coefficient in Inverse Heat Conduction Problem Using Quantum-Behaved Particle Swarm Optimization with Tikhonov Regularization

The quantum-behaved particle swarm optimization (QPSO) with Tikhonov regularization is used to solve the inverse heat conduction problem of estimating the time dependent heat transfer coefficient of a flat plate. The prior information about the functional form of the unknown is unavailable. The esti...

Full description

Bibliographic Details
Main Authors: Na Tian, Longchao Zhu, Choi-Hong Lai
Format: Article
Language:English
Published: SAGE Publishing 2014-06-01
Series:Journal of Algorithms & Computational Technology
Online Access:https://doi.org/10.1260/1748-3018.8.2.233
_version_ 1819116812812419072
author Na Tian
Longchao Zhu
Choi-Hong Lai
author_facet Na Tian
Longchao Zhu
Choi-Hong Lai
author_sort Na Tian
collection DOAJ
description The quantum-behaved particle swarm optimization (QPSO) with Tikhonov regularization is used to solve the inverse heat conduction problem of estimating the time dependent heat transfer coefficient of a flat plate. The prior information about the functional form of the unknown is unavailable. The estimation is based on transient temperature measurements taken by the sensors imbedded in the plate, which are used in the least square model, minimized by QPSO. The detail of choosing the best regularization parameter by L-curve method is presented. Numerical experiments are performed to test the proposed method. Effects of the location and number of sensors are also investigated. Comparison with conjugate gradient method is given as well.
first_indexed 2024-12-22T05:23:02Z
format Article
id doaj.art-c56e111b17d54137969344cf10483182
institution Directory Open Access Journal
issn 1748-3018
1748-3026
language English
last_indexed 2024-12-22T05:23:02Z
publishDate 2014-06-01
publisher SAGE Publishing
record_format Article
series Journal of Algorithms & Computational Technology
spelling doaj.art-c56e111b17d54137969344cf104831822022-12-21T18:37:40ZengSAGE PublishingJournal of Algorithms & Computational Technology1748-30181748-30262014-06-01810.1260/1748-3018.8.2.233Estimation of Heat Transfer Coefficient in Inverse Heat Conduction Problem Using Quantum-Behaved Particle Swarm Optimization with Tikhonov RegularizationNa Tian0Longchao Zhu1Choi-Hong Lai2 Department of Educational Technology, Jiangnan University, Wuxi 214122, China Department of Information Technology, China Ship Science Research Center, Wuxi 214082, China School of Computing and Mathematical Science, University of Greenwich, London SE10 9LS, UKThe quantum-behaved particle swarm optimization (QPSO) with Tikhonov regularization is used to solve the inverse heat conduction problem of estimating the time dependent heat transfer coefficient of a flat plate. The prior information about the functional form of the unknown is unavailable. The estimation is based on transient temperature measurements taken by the sensors imbedded in the plate, which are used in the least square model, minimized by QPSO. The detail of choosing the best regularization parameter by L-curve method is presented. Numerical experiments are performed to test the proposed method. Effects of the location and number of sensors are also investigated. Comparison with conjugate gradient method is given as well.https://doi.org/10.1260/1748-3018.8.2.233
spellingShingle Na Tian
Longchao Zhu
Choi-Hong Lai
Estimation of Heat Transfer Coefficient in Inverse Heat Conduction Problem Using Quantum-Behaved Particle Swarm Optimization with Tikhonov Regularization
Journal of Algorithms & Computational Technology
title Estimation of Heat Transfer Coefficient in Inverse Heat Conduction Problem Using Quantum-Behaved Particle Swarm Optimization with Tikhonov Regularization
title_full Estimation of Heat Transfer Coefficient in Inverse Heat Conduction Problem Using Quantum-Behaved Particle Swarm Optimization with Tikhonov Regularization
title_fullStr Estimation of Heat Transfer Coefficient in Inverse Heat Conduction Problem Using Quantum-Behaved Particle Swarm Optimization with Tikhonov Regularization
title_full_unstemmed Estimation of Heat Transfer Coefficient in Inverse Heat Conduction Problem Using Quantum-Behaved Particle Swarm Optimization with Tikhonov Regularization
title_short Estimation of Heat Transfer Coefficient in Inverse Heat Conduction Problem Using Quantum-Behaved Particle Swarm Optimization with Tikhonov Regularization
title_sort estimation of heat transfer coefficient in inverse heat conduction problem using quantum behaved particle swarm optimization with tikhonov regularization
url https://doi.org/10.1260/1748-3018.8.2.233
work_keys_str_mv AT natian estimationofheattransfercoefficientininverseheatconductionproblemusingquantumbehavedparticleswarmoptimizationwithtikhonovregularization
AT longchaozhu estimationofheattransfercoefficientininverseheatconductionproblemusingquantumbehavedparticleswarmoptimizationwithtikhonovregularization
AT choihonglai estimationofheattransfercoefficientininverseheatconductionproblemusingquantumbehavedparticleswarmoptimizationwithtikhonovregularization