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Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems

Farzad Mohebbi

Computation, Volume: 8, Issue: 4, Start page: 95

Swansea University Author: Farzad Mohebbi

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DOI (Published version): 10.3390/computation8040095

Abstract

Explicit expressions are obtained for sensitivity coefficients to separately estimate temperature-dependent thermophysical properties, such as specific heat and thermal conductivity, in two-dimensional inverse transient heat conduction problems for bodies with irregular shape from temperature measur...

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Published in: Computation
ISSN: 2079-3197
Published: MDPI AG 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa55767
first_indexed 2020-11-26T09:30:54Z
last_indexed 2021-01-15T04:21:13Z
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spelling 2021-01-14T11:30:59.9368294 v2 55767 2020-11-26 Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems 35d5780a36e2949d4a6b6268c3dc1db0 Farzad Mohebbi Farzad Mohebbi true false 2020-11-26 Explicit expressions are obtained for sensitivity coefficients to separately estimate temperature-dependent thermophysical properties, such as specific heat and thermal conductivity, in two-dimensional inverse transient heat conduction problems for bodies with irregular shape from temperature measurement readings of a single sensor inside the body. The proposed sensitivity analysis scheme allows for the computation of all sensitivity coefficients in only one direct problem solution at each iteration with no need to solve the sensitivity and adjoint problems. In this method, a boundary-fitted grid generation (elliptic) method is used to mesh the irregular shape of the heat conducting body. Explicit expressions are obtained to calculate the sensitivity coefficients efficiently and the conjugate gradient method as an iterative gradient-based optimization method is used to minimize the objective function and reach the solution. A test case with different initial guesses and sensor locations is presented to investigate the proposed inverse analysis. Journal Article Computation 8 4 95 MDPI AG 2079-3197 inverse transient heat conduction; conjugate-gradient method; sensitivity analysis; parameter estimation; temperature-dependent thermophysical properties 6 11 2020 2020-11-06 10.3390/computation8040095 COLLEGE NANME COLLEGE CODE Swansea University 2021-01-14T11:30:59.9368294 2020-11-26T09:28:14.4174194 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Farzad Mohebbi 1 55767__18749__e05e1a183f094c59b69305d409758203.pdf 55767.pdf 2020-11-26T09:30:13.3560155 Output 13337911 application/pdf Version of Record true © 2020 by the author. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license true eng http://creativecommons.org/licenses/by/4.0/
title Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems
spellingShingle Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems
Farzad Mohebbi
title_short Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems
title_full Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems
title_fullStr Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems
title_full_unstemmed Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems
title_sort Explicit Sensitivity Coefficients for Estimation of Temperature-Dependent Thermophysical Properties in Inverse Transient Heat Conduction Problems
author_id_str_mv 35d5780a36e2949d4a6b6268c3dc1db0
author_id_fullname_str_mv 35d5780a36e2949d4a6b6268c3dc1db0_***_Farzad Mohebbi
author Farzad Mohebbi
author2 Farzad Mohebbi
format Journal article
container_title Computation
container_volume 8
container_issue 4
container_start_page 95
publishDate 2020
institution Swansea University
issn 2079-3197
doi_str_mv 10.3390/computation8040095
publisher MDPI AG
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 Explicit expressions are obtained for sensitivity coefficients to separately estimate temperature-dependent thermophysical properties, such as specific heat and thermal conductivity, in two-dimensional inverse transient heat conduction problems for bodies with irregular shape from temperature measurement readings of a single sensor inside the body. The proposed sensitivity analysis scheme allows for the computation of all sensitivity coefficients in only one direct problem solution at each iteration with no need to solve the sensitivity and adjoint problems. In this method, a boundary-fitted grid generation (elliptic) method is used to mesh the irregular shape of the heat conducting body. Explicit expressions are obtained to calculate the sensitivity coefficients efficiently and the conjugate gradient method as an iterative gradient-based optimization method is used to minimize the objective function and reach the solution. A test case with different initial guesses and sensor locations is presented to investigate the proposed inverse analysis.
published_date 2020-11-06T14:02:04Z
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score 11.048042

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