Convective-radiative thermal investigation of a porous dovetail fin using spectral collocation method
An inverted or reversed trapezoidal profiled fin (dovetail fin) is a fin with an irregular cross-sectional area that is used for improved performance in double pipe heat exchanger applications. The current investigation focuses on the temperature distribution in an internal heat-generating longitudi...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-02-01
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| Series: | Ain Shams Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447922001228 |
| _version_ | 1797945529274990592 |
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| author | Wajaree Weera R.S. Varun Kumar G. Sowmya Umair Khan B.C. Prasannakumara Emad E. Mahmoud Ibrahim S. Yahia |
| author_facet | Wajaree Weera R.S. Varun Kumar G. Sowmya Umair Khan B.C. Prasannakumara Emad E. Mahmoud Ibrahim S. Yahia |
| author_sort | Wajaree Weera |
| collection | DOAJ |
| description | An inverted or reversed trapezoidal profiled fin (dovetail fin) is a fin with an irregular cross-sectional area that is used for improved performance in double pipe heat exchanger applications. The current investigation focuses on the temperature distribution in an internal heat-generating longitudinal dovetail porous fin. A second-order ordinary differential equation (ODE) governs the heat transfer problem of a dovetail fin, and dimensionless terms are used to reduce it to a non-dimensional form. The resulting ODE is solved numerically using the spectral collocation method (SCM) via a local linearization strategy, and the temperature distribution in the dovetail profiled fin is discretized using Chebyshev-Gauss-Lobatto (CGL) collocation points and Chebyshev polynomials. The effect of various thermal parameters on the non-dimensional temperature profile and fin efficiency is graphically depicted for a fin with both convective and insulated tip conditions. As a result, for higher values of the convective-conductive and porosity parameter, the temperature in the dovetail fin distributes in a declining manner. |
| first_indexed | 2024-04-10T20:56:33Z |
| format | Article |
| id | doaj.art-4848b7ee56ff43edb50999e7f8c1f1ee |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-04-10T20:56:33Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-4848b7ee56ff43edb50999e7f8c1f1ee2023-01-23T04:08:17ZengElsevierAin Shams Engineering Journal2090-44792023-02-01141101811Convective-radiative thermal investigation of a porous dovetail fin using spectral collocation methodWajaree Weera0R.S. Varun Kumar1G. Sowmya2Umair Khan3B.C. Prasannakumara4Emad E. Mahmoud5Ibrahim S. Yahia6Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, ThailandDepartment of Studies in Mathematics, Davangere University, Davangere, Karnataka, 577002, IndiaDepartment of Mathematics, M S Ramaiah Institute of Technology, Bangalore, Karnataka, 560054, India; Corresponding author.Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia; Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, Sindh 65200, PakistanDepartment of Studies in Mathematics, Davangere University, Davangere, Karnataka, 577002, IndiaDepartment of Mathematics and Statistics, College of Science, Taif University, PO Box 11099, Taif 21944, Saudi ArabiaLaboratory of Nano-Smart Materials for Science and Technology (LNSMST), Department of Physics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia; Research Center for Advanced Materials Science (RCAMS), King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia; Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Semiconductor Lab., Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, EgyptAn inverted or reversed trapezoidal profiled fin (dovetail fin) is a fin with an irregular cross-sectional area that is used for improved performance in double pipe heat exchanger applications. The current investigation focuses on the temperature distribution in an internal heat-generating longitudinal dovetail porous fin. A second-order ordinary differential equation (ODE) governs the heat transfer problem of a dovetail fin, and dimensionless terms are used to reduce it to a non-dimensional form. The resulting ODE is solved numerically using the spectral collocation method (SCM) via a local linearization strategy, and the temperature distribution in the dovetail profiled fin is discretized using Chebyshev-Gauss-Lobatto (CGL) collocation points and Chebyshev polynomials. The effect of various thermal parameters on the non-dimensional temperature profile and fin efficiency is graphically depicted for a fin with both convective and insulated tip conditions. As a result, for higher values of the convective-conductive and porosity parameter, the temperature in the dovetail fin distributes in a declining manner.http://www.sciencedirect.com/science/article/pii/S2090447922001228Heat transferFinsPorous finsDovetail profiled finSpectral collocation method (SCM) |
| spellingShingle | Wajaree Weera R.S. Varun Kumar G. Sowmya Umair Khan B.C. Prasannakumara Emad E. Mahmoud Ibrahim S. Yahia Convective-radiative thermal investigation of a porous dovetail fin using spectral collocation method Ain Shams Engineering Journal Heat transfer Fins Porous fins Dovetail profiled fin Spectral collocation method (SCM) |
| title | Convective-radiative thermal investigation of a porous dovetail fin using spectral collocation method |
| title_full | Convective-radiative thermal investigation of a porous dovetail fin using spectral collocation method |
| title_fullStr | Convective-radiative thermal investigation of a porous dovetail fin using spectral collocation method |
| title_full_unstemmed | Convective-radiative thermal investigation of a porous dovetail fin using spectral collocation method |
| title_short | Convective-radiative thermal investigation of a porous dovetail fin using spectral collocation method |
| title_sort | convective radiative thermal investigation of a porous dovetail fin using spectral collocation method |
| topic | Heat transfer Fins Porous fins Dovetail profiled fin Spectral collocation method (SCM) |
| url | http://www.sciencedirect.com/science/article/pii/S2090447922001228 |
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