Variable transform-based semi-analytical methods for solving convective straight fins problem with temperature-dependent thermal conductivity
This paper presents effective algorithms to approximate solutions of nonlinear fin problem with temperature dependent thermal conductivity and heat transfer coefficient. We propose new approximate semi-analytical techniques, namely the Laplace homotopy variable transform method (LHVTM) and the diffe...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-07-01
|
| Series: | Scientific African |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S246822762200031X |
| _version_ | 1797996634987036672 |
|---|---|
| author | A.O. Adewumi S.O. Akindeinde R.S. Lebelo |
| author_facet | A.O. Adewumi S.O. Akindeinde R.S. Lebelo |
| author_sort | A.O. Adewumi |
| collection | DOAJ |
| description | This paper presents effective algorithms to approximate solutions of nonlinear fin problem with temperature dependent thermal conductivity and heat transfer coefficient. We propose new approximate semi-analytical techniques, namely the Laplace homotopy variable transform method (LHVTM) and the differential variable transform method (DVTM), to obtain expressions for generalized convective straight fins problem. The linear dependence of thermal conductivity on temperature is considered, and fin efficiency and effectiveness are evaluated. We further analyzed the effects of the model parameters on surface heat loss, and the results are presented in tables and with graphical illustrations. |
| first_indexed | 2024-04-11T10:20:31Z |
| format | Article |
| id | doaj.art-6681ee666d54403d8e9538065ae4b01a |
| institution | Directory Open Access Journal |
| issn | 2468-2276 |
| language | English |
| last_indexed | 2024-04-11T10:20:31Z |
| publishDate | 2022-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Scientific African |
| spelling | doaj.art-6681ee666d54403d8e9538065ae4b01a2022-12-22T04:29:46ZengElsevierScientific African2468-22762022-07-0116e01122Variable transform-based semi-analytical methods for solving convective straight fins problem with temperature-dependent thermal conductivityA.O. Adewumi0S.O. Akindeinde1R.S. Lebelo2Corresponding author.; Department of Mathematics, Obafemi Awolowo University, Ile-Ife, 220005, NigeriaDepartment of Mathematics and Statistical Sciences, Botswana International University of Science and Technology (BIUST), Private Bag 016, Palapye, BotswanaFaculty of Human Sciences, Vaal University of Technology, Vanderbijlpark, South AfricaThis paper presents effective algorithms to approximate solutions of nonlinear fin problem with temperature dependent thermal conductivity and heat transfer coefficient. We propose new approximate semi-analytical techniques, namely the Laplace homotopy variable transform method (LHVTM) and the differential variable transform method (DVTM), to obtain expressions for generalized convective straight fins problem. The linear dependence of thermal conductivity on temperature is considered, and fin efficiency and effectiveness are evaluated. We further analyzed the effects of the model parameters on surface heat loss, and the results are presented in tables and with graphical illustrations.http://www.sciencedirect.com/science/article/pii/S246822762200031XFins problemHomotopy perturbation methodLaplace and differential transform methodsBoundary value problemsPolynomial projection |
| spellingShingle | A.O. Adewumi S.O. Akindeinde R.S. Lebelo Variable transform-based semi-analytical methods for solving convective straight fins problem with temperature-dependent thermal conductivity Scientific African Fins problem Homotopy perturbation method Laplace and differential transform methods Boundary value problems Polynomial projection |
| title | Variable transform-based semi-analytical methods for solving convective straight fins problem with temperature-dependent thermal conductivity |
| title_full | Variable transform-based semi-analytical methods for solving convective straight fins problem with temperature-dependent thermal conductivity |
| title_fullStr | Variable transform-based semi-analytical methods for solving convective straight fins problem with temperature-dependent thermal conductivity |
| title_full_unstemmed | Variable transform-based semi-analytical methods for solving convective straight fins problem with temperature-dependent thermal conductivity |
| title_short | Variable transform-based semi-analytical methods for solving convective straight fins problem with temperature-dependent thermal conductivity |
| title_sort | variable transform based semi analytical methods for solving convective straight fins problem with temperature dependent thermal conductivity |
| topic | Fins problem Homotopy perturbation method Laplace and differential transform methods Boundary value problems Polynomial projection |
| url | http://www.sciencedirect.com/science/article/pii/S246822762200031X |
| work_keys_str_mv | AT aoadewumi variabletransformbasedsemianalyticalmethodsforsolvingconvectivestraightfinsproblemwithtemperaturedependentthermalconductivity AT soakindeinde variabletransformbasedsemianalyticalmethodsforsolvingconvectivestraightfinsproblemwithtemperaturedependentthermalconductivity AT rslebelo variabletransformbasedsemianalyticalmethodsforsolvingconvectivestraightfinsproblemwithtemperaturedependentthermalconductivity |