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Simultaneous estimation of heat flux and heat transfer coefficient in irregular geometries made of functionally graded materials

Farzad Mohebbi, Ben Evans Orcid Logo

International Journal of Thermofluids, Volume: 1-2, Start page: 100009

Swansea University Authors: Farzad Mohebbi, Ben Evans Orcid Logo

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DOI (Published version): 10.1016/j.ijft.2019.100009

Abstract

A numerical inverse analysis based on explicit sensitivity coefficients is developed for the simultaneous estimation of heat flux and heat transfer coefficient imposed on different parts of boundary of a general irregular heat conducting body made of functionally graded materials with spatially vary...

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Published in: International Journal of Thermofluids
ISSN: 2666-2027
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa53139
first_indexed 2020-01-07T19:46:45Z
last_indexed 2020-10-24T03:05:26Z
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spelling 2020-10-23T14:21:18.5138998 v2 53139 2020-01-07 Simultaneous estimation of heat flux and heat transfer coefficient in irregular geometries made of functionally graded materials 35d5780a36e2949d4a6b6268c3dc1db0 Farzad Mohebbi Farzad Mohebbi true false 3d273fecc8121fe6b53b8fe5281b9c97 0000-0003-3662-9583 Ben Evans Ben Evans true false 2020-01-07 A numerical inverse analysis based on explicit sensitivity coefficients is developed for the simultaneous estimation of heat flux and heat transfer coefficient imposed on different parts of boundary of a general irregular heat conducting body made of functionally graded materials with spatially varying thermal conductivity. It is assumed that the thermal conductivity varies exponentially with position in the body. The body considered in this study is an eccentric hollow cylinder. The heat flux is applied on the cylinder inner surface and the heat is dissipated to the surroundings through the outer surface. The numerical method used in this study consists of three steps: 1) to apply a boundary-fitted grid generation (elliptic) method to generate grid over eccentric hollow cylinder (an irregular shape) and then solve for the steady-state heat conduction equation with variable thermal conductivity to compute the temperature values in the cylinder, 2) to propose a new explicit sensitivity analysis scheme used in inverse analysis, and 3) to apply a gradient-based optimization method (in this study, conjugate gradient method) to minimize the mismatch between the computed temperature on the outer surface of the cylinder and simulated measured temperature distribution. The inverse analysis presented here is not involved with an adjoint equation and all the sensitivity coefficients can be computed in only one direct solution, without the need for the solution of the adjoint equation. The accuracy, efficiency, and robustness of the developed inverse analysis are demonstrated through presenting a test case with different initial guesses. Journal Article International Journal of Thermofluids 1-2 100009 Elsevier BV 2666-2027 Inverse Heat Transfer Problems; Functionally Graded Materials; Spatially varying thermal conductivity; Explicit sensitivity analysis; Finite-difference method; Conjugate gradient method 1 2 2020 2020-02-01 10.1016/j.ijft.2019.100009 COLLEGE NANME COLLEGE CODE Swansea University 2020-10-23T14:21:18.5138998 2020-01-07T15:04:39.1362999 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 53139__17027__7556e383497c4033b71c544d55ad1af3.pdf 53139VOR.pdf 2020-04-07T21:18:15.5124394 Output 2723974 application/pdf Version of Record true This is an open access article under the CC BY-NC-ND license. true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Simultaneous estimation of heat flux and heat transfer coefficient in irregular geometries made of functionally graded materials
spellingShingle Simultaneous estimation of heat flux and heat transfer coefficient in irregular geometries made of functionally graded materials
Farzad Mohebbi
Ben Evans
title_short Simultaneous estimation of heat flux and heat transfer coefficient in irregular geometries made of functionally graded materials
title_full Simultaneous estimation of heat flux and heat transfer coefficient in irregular geometries made of functionally graded materials
title_fullStr Simultaneous estimation of heat flux and heat transfer coefficient in irregular geometries made of functionally graded materials
title_full_unstemmed Simultaneous estimation of heat flux and heat transfer coefficient in irregular geometries made of functionally graded materials
title_sort Simultaneous estimation of heat flux and heat transfer coefficient in irregular geometries made of functionally graded materials
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
format Journal article
container_title International Journal of Thermofluids
container_volume 1-2
container_start_page 100009
publishDate 2020
institution Swansea University
issn 2666-2027
doi_str_mv 10.1016/j.ijft.2019.100009
publisher Elsevier BV
college_str Faculty of Science and Engineering
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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
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description A numerical inverse analysis based on explicit sensitivity coefficients is developed for the simultaneous estimation of heat flux and heat transfer coefficient imposed on different parts of boundary of a general irregular heat conducting body made of functionally graded materials with spatially varying thermal conductivity. It is assumed that the thermal conductivity varies exponentially with position in the body. The body considered in this study is an eccentric hollow cylinder. The heat flux is applied on the cylinder inner surface and the heat is dissipated to the surroundings through the outer surface. The numerical method used in this study consists of three steps: 1) to apply a boundary-fitted grid generation (elliptic) method to generate grid over eccentric hollow cylinder (an irregular shape) and then solve for the steady-state heat conduction equation with variable thermal conductivity to compute the temperature values in the cylinder, 2) to propose a new explicit sensitivity analysis scheme used in inverse analysis, and 3) to apply a gradient-based optimization method (in this study, conjugate gradient method) to minimize the mismatch between the computed temperature on the outer surface of the cylinder and simulated measured temperature distribution. The inverse analysis presented here is not involved with an adjoint equation and all the sensitivity coefficients can be computed in only one direct solution, without the need for the solution of the adjoint equation. The accuracy, efficiency, and robustness of the developed inverse analysis are demonstrated through presenting a test case with different initial guesses.
published_date 2020-02-01T13:54:18Z
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