Wavelet collocation solution for fully wet semi-spherical porous fin
Study Focus: In this paper, the thermal behavior of a semi-spherical fin embedded in a porous medium is examined. The heat transfer coefficient is considered to be temperature-dependent and follows a power-law relationship.Modeling Approach: Heat transmission through the porous medium is modeled usi...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S266681812400398X |
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| author | Surjan Singh Parvinder Kaur Dinesh Kumar K.N. Rai |
| author_facet | Surjan Singh Parvinder Kaur Dinesh Kumar K.N. Rai |
| author_sort | Surjan Singh |
| collection | DOAJ |
| description | Study Focus: In this paper, the thermal behavior of a semi-spherical fin embedded in a porous medium is examined. The heat transfer coefficient is considered to be temperature-dependent and follows a power-law relationship.Modeling Approach: Heat transmission through the porous medium is modeled using Darcy’s law, with the flow velocity as a key factor.Methodology: The Legendre wavelet collocation method (LWCM) is employed to solve the governing equations and predict the temperature distribution within the fin. Results obtained from LWCM are compared to those from the least squares method and numerical methods, showing good agreement and validating the proposed method. The effects of various parameters on the temperature distribution in the fin are analyzed and presented through figures and tables. Conclusion:: The study concludes that the Legendre wavelet collocation method is an efficient and powerful technique for obtaining analytical solutions for heat transfer problems in porous media. |
| format | Article |
| id | doaj-art-a7bb6561b5bc4900a1d497ed66eb5074 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-a7bb6561b5bc4900a1d497ed66eb50742024-12-14T06:33:23ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101012Wavelet collocation solution for fully wet semi-spherical porous finSurjan Singh0Parvinder Kaur1Dinesh Kumar2K.N. Rai3Department of Mathematics, Akal University, Talwandi Sabo, Bathinda (Punjab), IndiaCorresponding author.; Department of Mathematics, Akal University, Talwandi Sabo, Bathinda (Punjab), IndiaDepartment of Mathematics, Akal University, Talwandi Sabo, Bathinda (Punjab), IndiaDepartment of Mathematics, Akal University, Talwandi Sabo, Bathinda (Punjab), IndiaStudy Focus: In this paper, the thermal behavior of a semi-spherical fin embedded in a porous medium is examined. The heat transfer coefficient is considered to be temperature-dependent and follows a power-law relationship.Modeling Approach: Heat transmission through the porous medium is modeled using Darcy’s law, with the flow velocity as a key factor.Methodology: The Legendre wavelet collocation method (LWCM) is employed to solve the governing equations and predict the temperature distribution within the fin. Results obtained from LWCM are compared to those from the least squares method and numerical methods, showing good agreement and validating the proposed method. The effects of various parameters on the temperature distribution in the fin are analyzed and presented through figures and tables. Conclusion:: The study concludes that the Legendre wavelet collocation method is an efficient and powerful technique for obtaining analytical solutions for heat transfer problems in porous media.http://www.sciencedirect.com/science/article/pii/S266681812400398XHeat transferLegendre wavelet collocation methodMathematical modelPorous mediumSemi-spherical fin |
| spellingShingle | Surjan Singh Parvinder Kaur Dinesh Kumar K.N. Rai Wavelet collocation solution for fully wet semi-spherical porous fin Partial Differential Equations in Applied Mathematics Heat transfer Legendre wavelet collocation method Mathematical model Porous medium Semi-spherical fin |
| title | Wavelet collocation solution for fully wet semi-spherical porous fin |
| title_full | Wavelet collocation solution for fully wet semi-spherical porous fin |
| title_fullStr | Wavelet collocation solution for fully wet semi-spherical porous fin |
| title_full_unstemmed | Wavelet collocation solution for fully wet semi-spherical porous fin |
| title_short | Wavelet collocation solution for fully wet semi-spherical porous fin |
| title_sort | wavelet collocation solution for fully wet semi spherical porous fin |
| topic | Heat transfer Legendre wavelet collocation method Mathematical model Porous medium Semi-spherical fin |
| url | http://www.sciencedirect.com/science/article/pii/S266681812400398X |
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