An adaptive matrix method for the solution of a nonlinear inverse heat transfer problem and its experimental verification
Authors:
- Piotr Duda,
- Mariusz Konieczny
Abstract
An adaptive matrix inverse (AMI) method is presented to identify the temperature and unknown boundary heat flux in a domain of a regular or irregular shape with temperature-dependent properties. The nonlinear problem is broken down into a number of linear submodels, and for each submodel, the temperature is obtained in measuring points. Next, based on the matching degree between the temperatures measured and calculated by each prediction submodel, the submodels are weighted and combined to create the full model for the solution of an inverse nonlinear heat transfer problem. Comparisons are also made with the existing multiple model adaptive inverse (MMAI) algorithm and method based on the Levenberg–Marquardt algorithm (LMA). The results of the presented numerical tests for undisturbed and disturbed “measuring” data indicate that the heat fluxes identified by the AMI method are close to the exact values. The application of the presented method for bodies with an irregular shape is also demonstrated. The AMI method has been experimentally verified during the thick-walled cylinder cooling process. The proposed method can be applied in online diagnostic systems for thermal state monitoring.
- Record ID
- CUTc68b1ef7b9164624b8ca3619f332dea4
- Publication categories
- ;
- Author
- Journal series
- Energies, ISSN , e-ISSN 1996-1073, Biweekly
- Issue year
- 2023
- Vol
- 16
- No
- 6
- Pages
- [1-23]
- Article number
- 2649
- Other elements of collation
- rys.; tab.; wykr.; Bibliografia (na s.) - 22-23; Bibliografia (liczba pozycji) - 31; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 16, Iss. 6
- Substantive notes
- This article belongs to the collection: Advances in Heat Transfer Enhancement
- Keywords in English
- non-linea, inverse problem, complex shape, online, experimental verification
- ASJC Classification
- DOI
- DOI:10.3390/en16062649 Opening in a new tab
- URL
- https://www.mdpi.com/1996-1073/16/6/2649 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 140
- Score source
- journalList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTc68b1ef7b9164624b8ca3619f332dea4/
- URN
urn:pkr-prod:CUTc68b1ef7b9164624b8ca3619f332dea4
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.