Reconstruction of the heat transfer coefficients and heat fluxes in heat conduction problems

被引：0

作者：

Abdelhamid, Talaat ^{[1
,2
,3
]}

Elsheikh, Ammar H. ^{[4
]}

Omisore, Olatunji Mumini ^{[2
]}

Saeed, N.A. ^{[3
]}

Muthuramalingam, T. ^{[5
]}

Chen, Ronglinag ^{[2
]}

Alam, Md. Mahbub ^{[1
]}

机构：

[1] Center for Turbulence and Control, Harbin Institute of Technology (Shenzhen), Shenzhen,518055, China

[2] Shenzhen Institutes of Advanced Technology, Chinese Academy of Science, Shenzhen,518055, China

[3] Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menouf, 32952, Menoufia University, Egypt

[4] Production Engineering and Mechanical Design Department, Faculty of Engineering, Tanta University, Tanta,31527, Egypt

[5] Department of Mechatronics Engineering, Kattankulathur Campus, SRM Institute of Science and Technology, Chennai,603203, India

来源：

Mathematics and Computers in Simulation | 2021年 / 187卷

基金：

美国国家科学基金会;

关键词：

Heat flux - Heat conduction - Numerical methods - Heat transfer coefficients;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper studies the reconstruction of the spatial-dependent-heat transfer coefficient γ(x) and- heat flux q(x), using the Levenberg–Marquardt (L–M) connected with the surrogate functional method and the modified conjugate gradient method (MCGM) (problem I). In addition to studying the reconstruction of γ(x) and space–time-dependent heat flux q(x,t) using the MCGM (problem II). The numerical results obtained by the L–M and MCGM demonstrate the efficiency, accuracy, and robustness of the proposed methods. The obtained results are compared with those obtained from an inverse approach connected with COMSOL Multiphysics under the same conditions. Finally, a conclusion and some remarks are presented. © 2021 International Association for Mathematics and Computers in Simulation (IMACS)

引用

页码：134 / 154

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