Inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization

This paper presents an inverse study of heat transfer of a conductive, convective and radiative annular fin made of a functionally graded material. Three major parameters such as conductive–convective parameter, conductive–radiative parameter and the parameter describing the variation of thermal con...

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Main Authors: Mallick, Ashis, Ranjan, Rajiv, Prasad, Dilip Kumar
Other Authors: School of Computer Science and Engineering
Format: Journal Article
Language:English
Published: 2021
Subjects:
Online Access:https://hdl.handle.net/10356/151066
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author Mallick, Ashis
Ranjan, Rajiv
Prasad, Dilip Kumar
author2 School of Computer Science and Engineering
author_facet School of Computer Science and Engineering
Mallick, Ashis
Ranjan, Rajiv
Prasad, Dilip Kumar
author_sort Mallick, Ashis
collection NTU
description This paper presents an inverse study of heat transfer of a conductive, convective and radiative annular fin made of a functionally graded material. Three major parameters such as conductive–convective parameter, conductive–radiative parameter and the parameter describing the variation of thermal conductivity are inversely estimated from a specified temperature field. The forward solution of temperature field is obtained from the closed form solution of nonlinear heat transfer equation using Homotopy perturbation method (HPM). A dragonfly algorithm that simulates the swarming behaviour of dragonflies, as analogous, is employed in finding out the inverse parameters. The temperature values of the forward solution are used as input data for the inverse analysis. The inverse parameters are then estimated iteratively by minimizing the objective function until the guessed temperature field approximately satisfies the preassigned temperature field of the forward solution. The inverse simulation following HPM-based forward solution converges faster than ordinary differential equation-based forward solution. The reconstructed temperature fields obtained from the various combination of inverse parameters give good agreement (∼1% error) with the desired temperature field. Thus, the presented inverse model provides an opportunity to the fin designer for selecting the several feasible combinations of thermal parameters suggesting the material design that result in a prescribed temperature field.
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spelling ntu-10356/1510662021-07-29T12:14:18Z Inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization Mallick, Ashis Ranjan, Rajiv Prasad, Dilip Kumar School of Computer Science and Engineering Engineering::Computer science and engineering Inverse Study Functionally Graded Fin This paper presents an inverse study of heat transfer of a conductive, convective and radiative annular fin made of a functionally graded material. Three major parameters such as conductive–convective parameter, conductive–radiative parameter and the parameter describing the variation of thermal conductivity are inversely estimated from a specified temperature field. The forward solution of temperature field is obtained from the closed form solution of nonlinear heat transfer equation using Homotopy perturbation method (HPM). A dragonfly algorithm that simulates the swarming behaviour of dragonflies, as analogous, is employed in finding out the inverse parameters. The temperature values of the forward solution are used as input data for the inverse analysis. The inverse parameters are then estimated iteratively by minimizing the objective function until the guessed temperature field approximately satisfies the preassigned temperature field of the forward solution. The inverse simulation following HPM-based forward solution converges faster than ordinary differential equation-based forward solution. The reconstructed temperature fields obtained from the various combination of inverse parameters give good agreement (∼1% error) with the desired temperature field. Thus, the presented inverse model provides an opportunity to the fin designer for selecting the several feasible combinations of thermal parameters suggesting the material design that result in a prescribed temperature field. 2021-07-29T12:14:18Z 2021-07-29T12:14:18Z 2019 Journal Article Mallick, A., Ranjan, R. & Prasad, D. K. (2019). Inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization. Inverse Problems in Science and Engineering, 27(7), 969-986. https://dx.doi.org/10.1080/17415977.2018.1510923 1741-5977 https://hdl.handle.net/10356/151066 10.1080/17415977.2018.1510923 2-s2.0-85053036137 7 27 969 986 en Inverse Problems in Science and Engineering © 2018 Informa UK Limited, trading as Taylor & Francis Group. All rights reserved.
spellingShingle Engineering::Computer science and engineering
Inverse Study
Functionally Graded Fin
Mallick, Ashis
Ranjan, Rajiv
Prasad, Dilip Kumar
Inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization
title Inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization
title_full Inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization
title_fullStr Inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization
title_full_unstemmed Inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization
title_short Inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization
title_sort inverse estimation of variable thermal parameters in a functionally graded annular fin using dragon fly optimization
topic Engineering::Computer science and engineering
Inverse Study
Functionally Graded Fin
url https://hdl.handle.net/10356/151066
work_keys_str_mv AT mallickashis inverseestimationofvariablethermalparametersinafunctionallygradedannularfinusingdragonflyoptimization
AT ranjanrajiv inverseestimationofvariablethermalparametersinafunctionallygradedannularfinusingdragonflyoptimization
AT prasaddilipkumar inverseestimationofvariablethermalparametersinafunctionallygradedannularfinusingdragonflyoptimization