Inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems
The precise determination of the thermal conductivity is crucial for material characterization in engineering applications. However, the accurate identification of temperature-dependent thermal conductivity poses a significant challenge. This article proposed an adjoint-based inverse method to ident...
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| Format: | Article |
| Language: | en |
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Penerbit Universiti Kebangsaan Malaysia
2025
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| Online Access: | http://journalarticle.ukm.my/26432/1/Paper_18%20-.pdf http://journalarticle.ukm.my/26432/ https://www.ukm.my/jqma/ |
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| author | Rafiqul Islam, M. Moksud Alam, Hoq, S.M.A. Okhunov, Abdurahim |
| author_facet | Rafiqul Islam, M. Moksud Alam, Hoq, S.M.A. Okhunov, Abdurahim |
| author_sort | Rafiqul Islam, |
| building | Tun Sri Lanang Library |
| collection | Institutional Repository |
| content_provider | Universiti Kebangsaan Malaysia |
| content_source | UKM Journal Article Repository |
| continent | Asia |
| country | Malaysia |
| description | The precise determination of the thermal conductivity is crucial for material characterization in engineering applications. However, the accurate identification of temperature-dependent thermal conductivity poses a significant challenge. This article proposed an adjoint-based inverse method to identify the thermal conductivity in the context of nonlinear steady heat conduction scenarios. The simulated temperature associated with the nonlinear steady heat conduction problem was quantified by employing the finite element method. The inverse retrieval of the thermal conductivity parameters was performed utilizing the adjoint method. Numerical examples were presented and analyzed to demonstrate the effectiveness of the proposed approach to identify the thermal conductivity parameters. For both numerical examples, three parameters of thermal conductivity were recovered utilizing temperature distribution with around 30 iterations and remarkably low objective function values. These results demonstrated the validity of the proposed method even in cases when the initial guess was far away from the target parameter value. The findings demonstrated the potential of the adjoint method in effectively determining the thermophysical parameters by solving the inverse heat conduction problems. |
| format | Article |
| id | my-ukm.journal.26432 |
| institution | Universiti Kebangsaan Malaysia |
| language | en |
| publishDate | 2025 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| record_format | eprints |
| spelling | my-ukm.journal.264322026-01-19T03:16:35Z http://journalarticle.ukm.my/26432/ Inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems Rafiqul Islam, M. Moksud Alam, Hoq, S.M.A. Okhunov, Abdurahim The precise determination of the thermal conductivity is crucial for material characterization in engineering applications. However, the accurate identification of temperature-dependent thermal conductivity poses a significant challenge. This article proposed an adjoint-based inverse method to identify the thermal conductivity in the context of nonlinear steady heat conduction scenarios. The simulated temperature associated with the nonlinear steady heat conduction problem was quantified by employing the finite element method. The inverse retrieval of the thermal conductivity parameters was performed utilizing the adjoint method. Numerical examples were presented and analyzed to demonstrate the effectiveness of the proposed approach to identify the thermal conductivity parameters. For both numerical examples, three parameters of thermal conductivity were recovered utilizing temperature distribution with around 30 iterations and remarkably low objective function values. These results demonstrated the validity of the proposed method even in cases when the initial guess was far away from the target parameter value. The findings demonstrated the potential of the adjoint method in effectively determining the thermophysical parameters by solving the inverse heat conduction problems. Penerbit Universiti Kebangsaan Malaysia 2025-09 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/26432/1/Paper_18%20-.pdf Rafiqul Islam, and M. Moksud Alam, and Hoq, S.M.A. and Okhunov, Abdurahim (2025) Inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems. Journal of Quality Measurement and Analysis, 21 (3). pp. 289-299. ISSN 2600-8602 https://www.ukm.my/jqma/ |
| spellingShingle | Rafiqul Islam, M. Moksud Alam, Hoq, S.M.A. Okhunov, Abdurahim Inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems |
| title | Inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems |
| title_full | Inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems |
| title_fullStr | Inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems |
| title_full_unstemmed | Inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems |
| title_short | Inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems |
| title_sort | inverse estimation of thermal conductivity parameters in nonlinear steady heat conduction problems |
| url | http://journalarticle.ukm.my/26432/1/Paper_18%20-.pdf http://journalarticle.ukm.my/26432/ https://www.ukm.my/jqma/ |
| url_provider | http://journalarticle.ukm.my/ |