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An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity

Farzad Mohebbi, Ben Evans Orcid Logo, Alexander Shaw, Mathieu Sellier

International Journal for Computational Methods in Engineering Science and Mechanics, Pages: 1 - 13

Swansea University Authors: Farzad Mohebbi, Ben Evans Orcid Logo

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DOI (Published version): 10.1080/15502287.2019.1615579

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Translator disclaimer Full Article Figures & data References Citations Metrics Reprints & Permissions Get accessAbstractThis article presents an inverse problem of determination of a space-dependent heat flux in steady-state heat conduction problems. The thermal conductivity of a heat conduc...

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Published in: International Journal for Computational Methods in Engineering Science and Mechanics
ISSN: 1550-2287 1550-2295
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa50600
first_indexed 2019-06-05T11:07:56Z
last_indexed 2021-03-17T04:11:49Z
id cronfa50600
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spelling 2021-03-16T15:25:46.2044290 v2 50600 2019-06-03 An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity 35d5780a36e2949d4a6b6268c3dc1db0 Farzad Mohebbi Farzad Mohebbi true false 3d273fecc8121fe6b53b8fe5281b9c97 0000-0003-3662-9583 Ben Evans Ben Evans true false 2019-06-03 Translator disclaimer Full Article Figures & data References Citations Metrics Reprints & Permissions Get accessAbstractThis article presents an inverse problem of determination of a space-dependent heat flux in steady-state heat conduction problems. The thermal conductivity of a heat conducting body depends on the temperature distribution over the body. In this study, the simulated measured temperature distribution on part of the boundary is related to the variable heat flux imposed on a different part of the boundary through incorporating the variable thermal conductivity components into the sensitivity coefficients. To do so, a body-fitted grid generation technique is used to mesh the two-dimensional irregular body and solve the direct heat conduction problem. An efficient, accurate, robust, and easy to implement method is presented to compute the sensitivity coefficients through derived expressions. Novelty of the study is twofold: (1) Boundary-fitted grid-based sensitivity analysis in which all sensitivities can be obtained in only one direct solution (at each iteration), irrespective of the number of unknown parameters, and (2) the way the measured temperatures on part of boundary are related to a variable heat flux applied on another part of boundary through components of a variable thermal conductivity. The conjugate gradient method along with the discrepancy principle is used in the inverse analysis to minimize the objective function and achieve the desired solution. Journal Article International Journal for Computational Methods in Engineering Science and Mechanics 1 13 1550-2287 1550-2295 Inverse heat transfer, elliptic grid generation, sensitivity analysis, finite difference method, conjugate gradient method, variable thermal conductivity, variable heat flux 31 5 2019 2019-05-31 10.1080/15502287.2019.1615579 COLLEGE NANME COLLEGE CODE Swansea University 2021-03-16T15:25:46.2044290 2019-06-03T11:55:18.9425811 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Farzad Mohebbi 1 Ben Evans 0000-0003-3662-9583 2 Alexander Shaw 3 Mathieu Sellier 4 0050600-24062019141913.pdf mohebbi2019.pdf 2019-06-24T14:19:13.5270000 Output 8072028 application/pdf Accepted Manuscript true 2020-05-31T00:00:00.0000000 false eng
title An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity
spellingShingle An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity
Farzad Mohebbi
Ben Evans
title_short An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity
title_full An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity
title_fullStr An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity
title_full_unstemmed An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity
title_sort An inverse analysis for determination of space-dependent heat flux in heat conduction problems in the presence of variable thermal conductivity
author_id_str_mv 35d5780a36e2949d4a6b6268c3dc1db0
3d273fecc8121fe6b53b8fe5281b9c97
author_id_fullname_str_mv 35d5780a36e2949d4a6b6268c3dc1db0_***_Farzad Mohebbi
3d273fecc8121fe6b53b8fe5281b9c97_***_Ben Evans
author Farzad Mohebbi
Ben Evans
author2 Farzad Mohebbi
Ben Evans
Alexander Shaw
Mathieu Sellier
format Journal article
container_title International Journal for Computational Methods in Engineering Science and Mechanics
container_start_page 1
publishDate 2019
institution Swansea University
issn 1550-2287
1550-2295
doi_str_mv 10.1080/15502287.2019.1615579
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
document_store_str 1
active_str 0
description Translator disclaimer Full Article Figures & data References Citations Metrics Reprints & Permissions Get accessAbstractThis article presents an inverse problem of determination of a space-dependent heat flux in steady-state heat conduction problems. The thermal conductivity of a heat conducting body depends on the temperature distribution over the body. In this study, the simulated measured temperature distribution on part of the boundary is related to the variable heat flux imposed on a different part of the boundary through incorporating the variable thermal conductivity components into the sensitivity coefficients. To do so, a body-fitted grid generation technique is used to mesh the two-dimensional irregular body and solve the direct heat conduction problem. An efficient, accurate, robust, and easy to implement method is presented to compute the sensitivity coefficients through derived expressions. Novelty of the study is twofold: (1) Boundary-fitted grid-based sensitivity analysis in which all sensitivities can be obtained in only one direct solution (at each iteration), irrespective of the number of unknown parameters, and (2) the way the measured temperatures on part of boundary are related to a variable heat flux applied on another part of boundary through components of a variable thermal conductivity. The conjugate gradient method along with the discrepancy principle is used in the inverse analysis to minimize the objective function and achieve the desired solution.
published_date 2019-05-31T19:44:33Z
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score 11.04748

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