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Sowmya G, Lashin MMA, Khan MI, Kumar RSV, Jagadeesha KC, Prasannakumara BC, Guedri K, Bafakeeh OT, Mohamed Tag-ElDin ES, Galal AM. Significance of Convection and Internal Heat Generation on the Thermal Distribution of a Porous Dovetail Fin with Radiative Heat Transfer by Spectral Collocation Method. MICROMACHINES 2022; 13:1336. [PMID: 36014258 PMCID: PMC9415051 DOI: 10.3390/mi13081336] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/21/2022] [Revised: 08/09/2022] [Accepted: 08/11/2022] [Indexed: 06/15/2023]
Abstract
A variety of methodologies have been used to explore heat transport enhancement, and the fin approach to inspect heat transfer characteristics is one such effective method. In a broad range of industrial applications, including heat exchangers and microchannel heat sinks, fins are often employed to improve heat transfer. Encouraged by this feature, the present research is concerned with the temperature distribution caused by convective and radiative mechanisms in an internal heat-generating porous longitudinal dovetail fin (DF). The Darcy formulation is considered for analyzing the velocity of the fluid passing through the fin, and the Rosseland approximation determines the radiation heat flux. The heat transfer problem of an inverted trapezoidal (dovetail) fin is governed by a second-order ordinary differential equation (ODE), and to simplify it to a dimensionless form, nondimensional terms are utilized. The generated ODE is numerically solved using the spectral collocation method (SCM) via a local linearization approach. The effect of different physical attributes on the dimensionless thermal field and heat flux is graphically illustrated. As a result, the temperature in the dovetail fin transmits in a decreasing manner for growing values of the porosity parameter. For elevated values of heat generation and the radiation-conduction parameter, the thermal profile of the fin displays increasing behavior, whereas an increment in the convection-conduction parameter downsizes the thermal dispersal. It is found that the SCM technique is very effective and more conveniently handles the nonlinear heat transfer equation. Furthermore, the temperature field results from the SCM-based solution are in very close accordance with the outcomes published in the literature.
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Affiliation(s)
- G. Sowmya
- Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore 560054, India
| | - Maha M. A. Lashin
- Electrical Engineering Department, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia
| | - M. Ijaz Khan
- Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan
| | - R. S. Varun Kumar
- Department of Studies in Mathematics, Davangere University, Tholhunse 577002, India
| | - K. C. Jagadeesha
- Department of Studies in Mathematics, Davangere University, Tholhunse 577002, India
- Department of Mathematics, I.D.S.G. Government First Grade College, Chikkamagaluru 577101, India
| | - B. C. Prasannakumara
- Department of Studies in Mathematics, Davangere University, Tholhunse 577002, India
| | - Kamel Guedri
- Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah 21955, Saudi Arabia
| | - Omar T Bafakeeh
- Department of Industrial Engineering, Jazan University, Jazan 82822, Saudi Arabia
| | | | - Ahmed M. Galal
- Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi ad-Dawaser 11991, Saudi Arabia
- Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt
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