Influence of Errors in Known Constants and Boundary Conditions on Solutions of Inverse Heat Conduction Problem
This work examines the effects of the known boundary conditions on the accuracy of the solution in one-dimensional inverse heat conduction problems. The failures in many applications of these problems are attributed to inaccuracy of the specified constants and boundary conditions. Since the boundary...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/11/3313 |
| _version_ | 1797531318737698816 |
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| author | Sun Kyoung Kim |
| author_facet | Sun Kyoung Kim |
| author_sort | Sun Kyoung Kim |
| collection | DOAJ |
| description | This work examines the effects of the known boundary conditions on the accuracy of the solution in one-dimensional inverse heat conduction problems. The failures in many applications of these problems are attributed to inaccuracy of the specified constants and boundary conditions. Since the boundary conditions and material properties in most thermal problems are imposed with uncertainty, the effects of their inaccuracy should be understood prior to the inverse analyses. The deviation from the exact solution has been examined for each case according to the errors in material properties, boundary location, and known boundary conditions. The results show that the effects of such errors are dramatic. Based on these results, the applicability and limitations of the inverse heat conduction analyses have been evaluated and discussed. |
| first_indexed | 2024-03-10T10:42:04Z |
| format | Article |
| id | doaj.art-7ebb7254a0ef470f893132ab5f877fb8 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T10:42:04Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-7ebb7254a0ef470f893132ab5f877fb82023-11-21T22:52:57ZengMDPI AGEnergies1996-10732021-06-011411331310.3390/en14113313Influence of Errors in Known Constants and Boundary Conditions on Solutions of Inverse Heat Conduction ProblemSun Kyoung Kim0Department of Mechanical System Design Engineering, Seoul National University of Science and Technology, Seoul 01811, KoreaThis work examines the effects of the known boundary conditions on the accuracy of the solution in one-dimensional inverse heat conduction problems. The failures in many applications of these problems are attributed to inaccuracy of the specified constants and boundary conditions. Since the boundary conditions and material properties in most thermal problems are imposed with uncertainty, the effects of their inaccuracy should be understood prior to the inverse analyses. The deviation from the exact solution has been examined for each case according to the errors in material properties, boundary location, and known boundary conditions. The results show that the effects of such errors are dramatic. Based on these results, the applicability and limitations of the inverse heat conduction analyses have been evaluated and discussed.https://www.mdpi.com/1996-1073/14/11/3313inverse heat conduction problemboundary conditionerrorbiasgradient method |
| spellingShingle | Sun Kyoung Kim Influence of Errors in Known Constants and Boundary Conditions on Solutions of Inverse Heat Conduction Problem Energies inverse heat conduction problem boundary condition error bias gradient method |
| title | Influence of Errors in Known Constants and Boundary Conditions on Solutions of Inverse Heat Conduction Problem |
| title_full | Influence of Errors in Known Constants and Boundary Conditions on Solutions of Inverse Heat Conduction Problem |
| title_fullStr | Influence of Errors in Known Constants and Boundary Conditions on Solutions of Inverse Heat Conduction Problem |
| title_full_unstemmed | Influence of Errors in Known Constants and Boundary Conditions on Solutions of Inverse Heat Conduction Problem |
| title_short | Influence of Errors in Known Constants and Boundary Conditions on Solutions of Inverse Heat Conduction Problem |
| title_sort | influence of errors in known constants and boundary conditions on solutions of inverse heat conduction problem |
| topic | inverse heat conduction problem boundary condition error bias gradient method |
| url | https://www.mdpi.com/1996-1073/14/11/3313 |
| work_keys_str_mv | AT sunkyoungkim influenceoferrorsinknownconstantsandboundaryconditionsonsolutionsofinverseheatconductionproblem |